notes_io_loop/references.bib

@misc{2022,
  title = {Welcome to the {{Ray}} Documentation Ifmmode—\textbackslash else—\textbackslash fi {{Ray}} 2.0.0},
  date = {2022-08},
  url = {https://docs.ray.io/en/latest/index.html},
  note = {[Online; accessed 15. Sep. 2022]}
}

@book{Agrawal2019,
  title = {Nonlinear Fiber Optics},
  author = {Agrawal, G. P.},
  date = {2019},
  edition = {Sixth edition},
  publisher = {{Academic Press}},
  location = {{London, United Kingdom ; San Diego, CA, United States}},
  abstract = {Nonlinear Fiber Optics, Sixth Edition, provides an up-to-date accounting of the nonlinear phenomena occurring inside optical fibers in telecommunications infrastructure and in the medical field. This new edition includes a general update to reflect the most recent research, extensive updates to chapter 13 on Supercontinuum Generation that reflect the use of chalcogenide fibers that extend Supercontinuum into the mid-infrared region, and a new chapter devoted to the nonlinear optics of multimode and multicore fibers. This book is ideal for researchers and graduate students in photonics, optical engineering and communication engineering.--},
  isbn = {978-0-12-817042-7},
  langid = {english},
  pagetotal = {707},
  keywords = {Fiber optics,Nonlinear optics},
  annotation = {OCLC: on1112387654},
  file = {/home/hiro/Zotero/storage/FF4YTWK6/Agrawal - 2019 - Nonlinear fiber optics.pdf}
}

@article{Alicki2013,
  title = {Entanglement Boost for Extractable Work from Ensembles of Quantum Batteries},
  author = {Alicki, Robert and Fannes, Mark},
  date = {2013-04},
  journaltitle = {Phys. Rev. E},
  volume = {87},
  number = {4},
  pages = {042123},
  publisher = {{American Physical Society}},
  issn = {2470-0053},
  doi = {10.1103/PhysRevE.87.042123},
  file = {/home/hiro/Zotero/storage/JLP9FE4B/Alicki and Fannes - 2013 - Entanglement boost for extractable work from ensem.pdf}
}

@article{Andersen2017,
  title = {Ultrastrong Coupling Dynamics with a Transmon Qubit},
  author = {Andersen, Christian Kraglund and Blais, Alexandre},
  date = {2017-02},
  journaltitle = {New J. Phys.},
  volume = {19},
  number = {2},
  pages = {023022},
  publisher = {{IOP Publishing}},
  issn = {1367-2630},
  doi = {10.1088/1367-2630/aa5941},
  file = {/home/hiro/Zotero/storage/UFRTPLEF/Andersen and Blais - 2017 - Ultrastrong coupling dynamics with a transmon qubi.pdf}
}

@book{Asboth2016,
  title = {A {{Short Course}} on {{Topological Insulators}}: {{Band-structure}} Topology and Edge States in One and Two Dimensions},
  shorttitle = {A {{Short Course}} on {{Topological Insulators}}},
  author = {Asbóth, János K. and Oroszlány, László and Pályi, András},
  date = {2016},
  volume = {919},
  eprint = {1509.02295},
  eprinttype = {arxiv},
  eprintclass = {cond-mat},
  doi = {10.1007/978-3-319-25607-8},
  url = {http://arxiv.org/abs/1509.02295},
  urldate = {2023-01-27},
  abstract = {This course-based primer provides newcomers to the field with a concise introduction to some of the core topics in the emerging field of topological band insulators in one and two dimensions. The aim is to provide a basic understanding of edge states, bulk topological invariants, and of the bulk--boundary correspondence with as simple mathematical tools as possible. We use noninteracting lattice models of topological insulators, building gradually on these to arrive from the simplest one-dimensional case (the Su-Schrieffer-Heeger model for polyacetylene) to two-dimensional time-reversal invariant topological insulators (the Bernevig-Hughes-Zhang model for HgTe). In each case the model is introduced first and then its properties are discussed and subsequently generalized. The only prerequisite for the reader is a working knowledge in quantum mechanics, the relevant solid state physics background is provided as part of this self-contained text, which is complemented by end-of-chapter problems.},
  keywords = {Condensed Matter - Mesoscale and Nanoscale Physics,Condensed Matter - Other Condensed Matter},
  annotation = {offset: 8},
  note = {Comment: Submitted to Lect. Notes Phys},
  file = {/home/hiro/Zotero/storage/JJ38FC7U/Asbóth et al. - 2016 - A Short Course on Topological Insulators Band-str.pdf;/home/hiro/Zotero/storage/W9DCLXEH/978-3-319-25607-8.pdf;/home/hiro/Zotero/storage/7TBW55ZY/1509.html}
}

@article{Aurell2019,
  title = {Thermal Power of Heat Flow through a Qubit},
  author = {Aurell, Erik and Montana, Federica},
  date = {2019-04},
  journaltitle = {Phys. Rev. E},
  volume = {99},
  number = {4},
  pages = {042130},
  publisher = {{American Physical Society}},
  issn = {2470-0053},
  doi = {10.1103/PhysRevE.99.042130},
  file = {/home/hiro/Zotero/storage/NZELW3KW/Aurell and Montana - 2019 - Thermal power of heat flow through a qubit.pdf}
}

@online{Bartlett2022,
  title = {Programmable Photonic System for Quantum Simulation in Arbitrary Topologies},
  author = {Bartlett, Ben and Long, Olivia Y. and Dutt, Avik and Fan, Shanhui},
  date = {2022-11-17},
  eprint = {2211.09805},
  eprinttype = {arxiv},
  eprintclass = {physics, physics:quant-ph},
  doi = {10.48550/arXiv.2211.09805},
  url = {http://arxiv.org/abs/2211.09805},
  urldate = {2023-03-09},
  abstract = {Synthetic dimensions have generated great interest for studying many types of topological, quantum, and many-body physics, and they offer a flexible platform for simulation of interesting physical systems, especially in high dimensions. In this Letter, we describe a programmable photonic device capable of emulating the dynamics of a broad class of Hamiltonians in lattices with arbitrary topologies and dimensions. We derive a correspondence between the physics of the device and the Hamiltonians of interest, and we simulate the physics of the device to observe a wide variety of physical phenomena, including chiral states in a Hall ladder, effective gauge potentials, and oscillations in high-dimensional lattices. Our proposed device opens new possibilities for studying topological and many-body physics in near-term experimental platforms.},
  pubstate = {preprint},
  keywords = {Physics - Optics,Quantum Physics},
  note = {Comment: 15 pages, 7 figures},
  file = {/home/hiro/Zotero/storage/2D6ME4SV/Bartlett et al. - 2022 - Programmable photonic system for quantum simulatio.pdf;/home/hiro/Zotero/storage/UC5YW6KD/2211.html}
}

@article{Batra2020,
  title = {Physics with {{Coffee}} and {{Doughnuts}}},
  author = {Batra, Navketan and Sheet, Goutam},
  date = {2020-06-01},
  journaltitle = {Resonance},
  shortjournal = {Reson},
  volume = {25},
  number = {6},
  pages = {765--786},
  issn = {0973-712X},
  doi = {10.1007/s12045-020-0995-x},
  url = {https://doi.org/10.1007/s12045-020-0995-x},
  urldate = {2023-01-18},
  abstract = {Topological insulators are a new class of materials that have attracted significant attention in contemporary condensed matter physics. They are different from regular insulators, and they display novel quantum properties that involve the idea of ‘topology’, an area of mathematics. Some of the fundamental concepts behind topological insulators, particularly in low-dimensional condensed matter systems such as poly-acetylene chains, can be understood using a simple one-dimensional toy model popularly known as the Su-Schrieffer-Heeger (SSH) model. This model can also be used as an introduction to the topological insulators of higher dimensions. Here, we give a concise description of the SSH model along with a brief review of the background physics and attempt to understand the ideas of topological invariants, edge states, and bulk-boundary correspondence using the model.},
  langid = {english},
  keywords = {band insulators,tightbinding model,Topological insulators},
  file = {/home/hiro/Zotero/storage/G7IAMDKY/Batra and Sheet - 2020 - Physics with Coffee and Doughnuts.pdf;/home/hiro/Zotero/storage/WKKASAU7/batra2020.pdf.pdf}
}

@article{Bera2017,
  title = {Generalized Laws of Thermodynamics in the Presence of Correlations - {{Nature Communications}}},
  author = {Bera, Manabendra N. and Riera, Arnau and Lewenstein, Maciej and Winter, Andreas},
  date = {2017-12},
  journaltitle = {Nat. Commun.},
  volume = {8},
  number = {2180},
  pages = {1--6},
  publisher = {{Nature Publishing Group}},
  issn = {2041-1723},
  doi = {10.1038/s41467-017-02370-x},
  file = {/home/hiro/Zotero/storage/LQCWBPKP/Bera et al. - 2017 - Generalized laws of thermodynamics in the presence.pdf}
}

@article{Bera2021,
  title = {Attaining {{Carnot}} Efficiency with Quantum and Nanoscale Heat Engines - Npj {{Quantum Information}}},
  author = {Bera, Mohit Lal and Lewenstein, Maciej and Bera, Manabendra Nath},
  date = {2021-02},
  journaltitle = {npj Quantum Inf.},
  volume = {7},
  number = {31},
  pages = {1--7},
  publisher = {{Nature Publishing Group}},
  issn = {2056-6387},
  doi = {10.1038/s41534-021-00366-6},
  file = {/home/hiro/Zotero/storage/KI72U5TA/bera2021.pdf.pdf;/home/hiro/Zotero/storage/XZXSFY6V/Bera et al. - 2021 - Attaining Carnot efficiency with quantum and nanos.pdf}
}

@article{Bera2021a,
  title = {Quantum {{Heat Engines}} with {{Carnot Efficiency}} at {{Maximum Power}}},
  author = {Bera, Mohit Lal and Juliıfmmode\textbackslash gravea\textbackslash elseà\textbackslash fi-Farrıfmmode\textbackslash acutee\textbackslash elseé\textbackslash fi, Sergi and Lewenstein, Maciej and Bera, Manabendra Nath},
  date = {2021-06},
  journaltitle = {arXiv},
  url = {https://arxiv.org/abs/2106.01193v1},
  file = {/home/hiro/Zotero/storage/ULPSNGEL/Bera et al. - 2021 - Quantum Heat Engines with Carnot Efficiency at Max.pdf}
}

@book{Bernevig2013,
  title = {Topological {{Insulators}} and {{Topological Superconductors}}},
  author = {Bernevig, B. Andrei and Hughes, Taylor L.},
  date = {2013-04-07},
  publisher = {{Princeton University Press}},
  doi = {10.1515/9781400846733},
  url = {https://www.degruyter.com/document/doi/10.1515/9781400846733/html},
  urldate = {2023-04-12},
  isbn = {978-1-4008-4673-3},
  langid = {english},
  annotation = {offset: 13},
  file = {/home/hiro/Zotero/storage/64Y4VM2J/Bernevig and Hughes - 2013 - Topological Insulators and Topological Superconduc.pdf}
}

@article{Bilitewski2015,
  title = {Scattering Theory for {{Floquet-Bloch}} States},
  author = {Bilitewski, Thomas and Cooper, Nigel R.},
  date = {2015-03-02},
  journaltitle = {Physical Review A},
  shortjournal = {Phys. Rev. A},
  volume = {91},
  number = {3},
  pages = {033601},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevA.91.033601},
  url = {https://link.aps.org/doi/10.1103/PhysRevA.91.033601},
  urldate = {2023-01-23},
  abstract = {Motivated by recent experimental implementations of artificial gauge fields for gases of cold atoms, we study the scattering properties of particles that are subjected to time-periodic Hamiltonians. Making use of Floquet theory, we focus on translationally invariant situations in which the single-particle dynamics can be described in terms of spatially extended Floquet-Bloch waves. We develop a general formalism for the scattering of these Floquet-Bloch waves. An important role is played by the conservation of Floquet quasienergy, which is defined only up to the addition of integer multiples of ℏω for a Hamiltonian with period T=2π/ω. We discuss the consequences of this for the interpretation of “elastic” and “inelastic” scattering in cases of physical interest. We illustrate our general results with applications to the scattering of a single particle in a Floquet-Bloch state from a static potential and the scattering of two bosonic particles in Floquet-Bloch states through their interparticle interaction. We analyze examples of these scattering processes that are closely related to the schemes used to generate artificial gauge fields in cold-atom experiments, through optical dressing of internal states, or through time-periodic modulations of tight-binding lattices. We show that the effects of scattering cannot, in general, be understood by an effective time-independent Hamiltonian, even in the limit ω→∞ of rapid modulation. We discuss the relative sizes of the elastic scattering (required to stabilize many-body phases) and of the inelastic scattering (leading to deleterious heating effects). In particular, we describe how inelastic processes that can cause significant heating in the current experimental setup can be switched off by additional confinement of transverse motion.},
  file = {/home/hiro/Zotero/storage/73C6XQG7/Bilitewski and Cooper - 2015 - Scattering theory for Floquet-Bloch states.pdf;/home/hiro/Zotero/storage/RHX6PU6L/bilitewski2015.pdf.pdf;/home/hiro/Zotero/storage/3QGDNLUU/PhysRevA.91.html}
}

@book{Binder2018,
  title = {Thermodynamics in the {{Quantum Regime}}},
  author = {Binder, Felix and Correa, Luis A. and Gogolin, Christian and Anders, Janet and Adesso, Gerardo},
  date = {2018},
  publisher = {{Springer}},
  location = {{Cham, Switzerland}},
  issn = {0168-1222},
  doi = {10.1007/978-3-319-99046-0},
  isbn = {978-3-319-99045-3},
  file = {/home/hiro/Zotero/storage/JFJV38BA/Binder et al. - 2018 - Thermodynamics in the Quantum Regime.pdf}
}

@article{Biswas2022,
  title = {Extraction of Ergotropy: Free Energy Bound and Application to Open Cycle Engines},
  author = {Biswas, Tanmoy and \textbackslash Lobejko, Marcin and Mazurek, Pawe\textbackslash l and Ja\textbackslash lowiecki, Konrad and Horodecki, Micha\textbackslash l},
  date = {2022-05},
  journaltitle = {arXiv},
  doi = {10.48550/arXiv.2205.06455},
  file = {/home/hiro/Zotero/storage/6XIXUJGD/Biswas et al. - 2022 - Extraction of ergotropy free energy bound and app.pdf}
}

@article{Blanes2009,
  title = {The {{Magnus}} Expansion and Some of Its Applications},
  author = {Blanes, S. and Casas, F. and Oteo, J. A. and Ros, J.},
  date = {2009-01},
  journaltitle = {Physics Reports},
  shortjournal = {Physics Reports},
  volume = {470},
  number = {5-6},
  eprint = {0810.5488},
  eprinttype = {arxiv},
  eprintclass = {math-ph},
  pages = {151--238},
  issn = {03701573},
  doi = {10.1016/j.physrep.2008.11.001},
  url = {http://arxiv.org/abs/0810.5488},
  urldate = {2023-02-07},
  abstract = {Approximate resolution of linear systems of differential equations with varying coefficients is a recurrent problem shared by a number of scientific and engineering areas, ranging from Quantum Mechanics to Control Theory. When formulated in operator or matrix form, the Magnus expansion furnishes an elegant setting to built up approximate exponential representations of the solution of the system. It provides a power series expansion for the corresponding exponent and is sometimes referred to as Time-Dependent Exponential Perturbation Theory. Every Magnus approximant corresponds in Perturbation Theory to a partial re-summation of infinite terms with the important additional property of preserving at any order certain symmetries of the exact solution.},
  langid = {english},
  keywords = {Mathematical Physics},
  note = {Comment: Report on the Magnus expansion for differential equations and its applications to several physical problems},
  file = {/home/hiro/Zotero/storage/4L2L92N6/Blanes et al. - 2009 - The Magnus expansion and some of its applications.pdf}
}

@article{Boisverta,
  title = {{{ENGINEERING A SSH MODEL WITH RESERVOIR}}},
  author = {Boisvert, Mathieu},
  pages = {18},
  abstract = {This logbook is meant to keep a record of the work done and to serve as a reminder of what has been attempted thus far.},
  langid = {english},
  file = {/home/hiro/Zotero/storage/42FYDQJP/Boisvert - ENGINEERING A SSH MODEL WITH RESERVOIR.pdf}
}

@article{Boyers2020,
  title = {Exploring {{2D Synthetic Quantum Hall Physics}} with a {{Quasiperiodically Driven Qubit}}},
  author = {Boyers, Eric and Crowley, Philip J. D. and Chandran, Anushya and Sushkov, Alexander O.},
  date = {2020-10-16},
  journaltitle = {Physical Review Letters},
  shortjournal = {Phys. Rev. Lett.},
  volume = {125},
  number = {16},
  pages = {160505},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevLett.125.160505},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.125.160505},
  urldate = {2023-03-14},
  abstract = {Quasiperiodically driven quantum systems are predicted to exhibit quantized topological properties, in analogy with the quantized transport properties of topological insulators. We use a single nitrogen-vacancy center in diamond to experimentally study a synthetic quantum Hall effect with a two-tone drive. We measure the evolution of trajectories of two quantum states, initially prepared at nearby points in synthetic phase space. We detect the synthetic Hall effect through the predicted overlap oscillations at a quantized fundamental frequency proportional to the Chern number, which characterizes the topological phases of the system. We further observe half-quantization of the Chern number at the transition between the synthetic Hall regime and the trivial regime, and the associated concentration of local Berry curvature in synthetic phase space. Our Letter opens up the possibility of using driven qubits to design and study higher-dimensional topological insulators and semimetals in synthetic dimensions.},
  annotation = {offset: 1},
  file = {/home/hiro/Zotero/storage/6WAGU7ZF/Boyers et al. - 2020 - Exploring 2D Synthetic Quantum Hall Physics with a.pdf}
}

@book{Bratteli1987,
  title = {Operator Algebras and Quantum Statistical Mechanics 1 {{C}}*- and {{W}}*-Algebras, Symmetry Groups, Decomposition of States},
  author = {Bratteli, Ola and Robinson, Derek W.},
  date = {1987},
  edition = {2. ed.},
  publisher = {{Springer}},
  location = {{New York, NY}},
  url = {http://slubdd.de/katalog?TN_libero_mab2147995},
  abstract = {Literaturverz. S. 469 - 488},
  isbn = {978-0-387-17093-0}
}

@book{Breuer2002,
  title = {The {{Theory}} of {{Open Quantum Systems}}},
  author = {Breuer, Heinz-Peter and Petruccione, Francesco},
  date = {2002-06},
  publisher = {{Oxford University Press}},
  location = {{Oxford, England, UK}},
  url = {https://global.oup.com/academic/product/the-theory-of-open-quantum-systems-9780198520634},
  isbn = {978-0-19-852063-4}
}

@book{Bruus2004,
  title = {Many-{{Body Quantum Theory}} in {{Condensed Matter Physics}}: {{An Introduction}}},
  shorttitle = {Many-{{Body Quantum Theory}} in {{Condensed Matter Physics}}},
  author = {Bruus, Henrik and Flensberg, Karsten and Flensberg, Ørsted Laboratory Niels Bohr Institute Karsten},
  date = {2004-09-02},
  eprint = {v5vhg1tYLC8C},
  eprinttype = {googlebooks},
  publisher = {{OUP Oxford}},
  abstract = {This book is an introduction to the techniques of many-body quantum theory with a large number of applications to condensed matter physics. The basic idea of the book is to provide a self-contained formulation of the theoretical framework without losing mathematical rigor, while at the same time providing physical motivation and examples. The examples are taken from applications in electron systems and transport theory. On the formal side, the book covers an introduction to second quantization, many-body Green's function, finite temperature Feynman diagrams and bosonization. The applications include traditional transport theory in bulk as well as mesoscopic systems, where both the Landau-Büttiker formalism and recent developments in correlated transport phenomena in mesoscopic systems and nano-structures are covered. Other topics include interacting electron gases, plasmons, electron-phonon interactions, superconductivity and a final chapter on one-dimensional systems where a detailed treatment of Luttinger liquid theory and bosonization techniques is given. Having grown out of a set of lecture notes, and containing many pedagogical exercises, this book is designed as a textbook for an advanced undergraduate or graduate course, and is also well suited for self-study.},
  isbn = {978-0-19-856633-5},
  langid = {english},
  pagetotal = {462},
  keywords = {Science / Chemistry / Physical \& Theoretical,Science / Physics / Condensed Matter,Science / Physics / General,Science / Physics / Quantum Theory,Technology \& Engineering / Electrical,Technology \& Engineering / Electronics / General,Technology \& Engineering / Materials Science / General,Technology \& Engineering / Nanotechnology \& MEMS}
}

@book{Bruus2004b,
  title = {Many-Body Quantum Theory in Condensed Matter Physics: An Introduction},
  shorttitle = {Many-Body Quantum Theory in Condensed Matter Physics},
  author = {Bruus, Henrik and Flensberg, Karsten},
  date = {2004},
  series = {Oxford Graduate Texts},
  publisher = {{Oxford University Press}},
  location = {{Oxford ; New York}},
  isbn = {978-0-19-856633-5},
  langid = {english},
  pagetotal = {435},
  keywords = {Condensed matter,Many-body problem,Quantum theory,Textbooks},
  annotation = {OCLC: ocm56694794},
  file = {/home/hiro/Zotero/storage/A5U3GD36/Bruus and Flensberg - 2004 - Many-body quantum theory in condensed matter physi.pdf}
}

@book{Bryant2016,
  title = {Computer Systems: A Programmer's Perspective},
  shorttitle = {Computer Systems},
  author = {Bryant, Randal E. and O'Hallaron, David R.},
  date = {2016},
  edition = {Third edition},
  publisher = {{Pearson}},
  location = {{Boston}},
  isbn = {978-0-13-409266-9},
  pagetotal = {1084},
  keywords = {Computer systems,Computers,Telecommunication,User interfaces (Computer systems)},
  file = {/home/hiro/Zotero/storage/3YFEKX3B/Bryant and O'Hallaron - 2016 - Computer systems a programmer's perspective.pdf}
}

@article{Buffoni2022,
  title = {Spontaneous {{Fluctuation-Symmetry Breaking}} and the {{Landauer Principle}}},
  author = {Buffoni, Lorenzo and Campisi, Michele},
  date = {2022-01},
  journaltitle = {J. Stat. Phys.},
  volume = {186},
  number = {2},
  pages = {31--12},
  publisher = {{Springer US}},
  issn = {1572-9613},
  doi = {10.1007/s10955-022-02877-8},
  file = {/home/hiro/Zotero/storage/SAECW24Y/Buffoni and Campisi - 2022 - Spontaneous Fluctuation-Symmetry Breaking and the .pdf}
}

@article{Bulla2003,
  title = {Numerical {{Renormalization Group}} for {{Bosonic Systems}} and {{Application}} to the {{Sub-Ohmic Spin-Boson Model}}},
  author = {Bulla, Ralf and Tong, Ning-Hua and Vojta, Matthias},
  date = {2003-10-24},
  journaltitle = {Physical Review Letters},
  shortjournal = {Phys. Rev. Lett.},
  volume = {91},
  number = {17},
  pages = {170601},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevLett.91.170601},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.91.170601},
  urldate = {2023-05-16},
  abstract = {We describe the generalization of Wilson’s numerical renormalization group method to quantum impurity models with a bosonic bath, providing a general nonperturbative approach to bosonic impurity models which can access exponentially small energies and temperatures. As an application, we consider the spin-boson model, describing a two-level system coupled to a bosonic bath with power-law spectral density, J(ω)∝ωs. We find clear evidence for a line of continuous quantum phase transitions for sub-Ohmic bath exponents 0},
  file = {/home/hiro/Zotero/storage/9LT2JZNA/Bulla et al. - 2003 - Numerical Renormalization Group for Bosonic System.pdf;/home/hiro/Zotero/storage/TGV9NCBF/PhysRevLett.91.html}
}

@article{Buser2021,
  title = {Probing the {{Hall Voltage}} in {{Synthetic Quantum Systems}}},
  author = {Buser, Maximilian and Greschner, Sebastian and Schollwöck, Ulrich and Giamarchi, Thierry},
  date = {2021-01-19},
  journaltitle = {Physical Review Letters},
  shortjournal = {Phys. Rev. Lett.},
  volume = {126},
  number = {3},
  pages = {030501},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevLett.126.030501},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.126.030501},
  urldate = {2023-03-14},
  abstract = {In the context of experimental advances in the realization of artificial magnetic fields in quantum gases, we discuss feasible schemes to extend measurements of the Hall polarization to a study of the Hall voltage, allowing for direct comparison with solid state systems. Specifically, for the paradigmatic example of interacting flux ladders, we report on characteristic zero crossings and a remarkable robustness of the Hall voltage with respect to interaction strengths, particle fillings, and ladder geometries, which is unobservable in the Hall polarization. Moreover, we investigate the site-resolved Hall response in spatially inhomogeneous quantum phases.},
  file = {/home/hiro/Zotero/storage/ZLLWX29N/Buser et al. - 2021 - Probing the Hall Voltage in Synthetic Quantum Syst.pdf;/home/hiro/Zotero/storage/Q7JJMCC3/PhysRevLett.126.html}
}

@article{Caldeira1981,
  title = {Influence of {{Dissipation}} on {{Quantum Tunneling}} in {{Macroscopic Systems}}},
  author = {Caldeira, A. O. and Leggett, A. J.},
  date = {1981-01-26},
  journaltitle = {Physical Review Letters},
  shortjournal = {Phys. Rev. Lett.},
  volume = {46},
  number = {4},
  pages = {211--214},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevLett.46.211},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.46.211},
  urldate = {2022-09-23},
  abstract = {A quantum system which can tunnel, at T=0, out of a metastable state and whose interaction with its environment is adequately described in the classically accessible region by a phenomenological friction coefficient η, is considered. By only assuming that the environment response is linear, it is found that dissipation multiplies the tunneling probability by the factor exp[−Aη(Δq)2ℏ], where Δq is the "distance under the barrier" and A is a numerical factor which is generally of order unity.},
  keywords = {counter term,initial slip},
  file = {/home/hiro/Zotero/storage/B372DXYR/Caldeira and Leggett - 1981 - Influence of Dissipation on Quantum Tunneling in M.pdf;/home/hiro/Zotero/storage/DPYDLSKC/PhysRevLett.46.html}
}

@article{Caldeira1983,
  title = {Quantum Tunnelling in a Dissipative System},
  author = {Caldeira, A. O. and Leggett, A. J.},
  date = {1983-09},
  journaltitle = {Ann. Phys.},
  volume = {149},
  number = {2},
  pages = {374--456},
  publisher = {{Academic Press}},
  issn = {0003-4916},
  doi = {10.1016/0003-4916(83)90202-6},
  file = {/home/hiro/Zotero/storage/54ETEEWR/Caldeira and Leggett - 1983 - Quantum tunnelling in a dissipative system.pdf}
}

@book{Caldeira2014,
  title = {An {{Introduction}} to {{Macroscopic Quantum Phenomena}} and {{Quantum Dissipation}}},
  author = {Caldeira, A. O.},
  date = {2014-03},
  journaltitle = {Cambridge Core},
  publisher = {{Cambridge University Press}},
  location = {{Cambridge, England, UK}},
  doi = {10.1017/CBO9781139035439},
  isbn = {978-0-521-11375-5}
}

@article{Cardano2017,
  title = {Detection of {{Zak}} Phases and Topological Invariants in a Chiral Quantum Walk of Twisted Photons},
  author = {Cardano, Filippo and D’Errico, Alessio and Dauphin, Alexandre and Maffei, Maria and Piccirillo, Bruno and de Lisio, Corrado and De Filippis, Giulio and Cataudella, Vittorio and Santamato, Enrico and Marrucci, Lorenzo and Lewenstein, Maciej and Massignan, Pietro},
  options = {useprefix=true},
  date = {2017-06-01},
  journaltitle = {Nature Communications},
  shortjournal = {Nat Commun},
  volume = {8},
  number = {1},
  pages = {15516},
  publisher = {{Nature Publishing Group}},
  issn = {2041-1723},
  doi = {10.1038/ncomms15516},
  url = {https://www.nature.com/articles/ncomms15516},
  urldate = {2023-03-15},
  abstract = {Topological insulators are fascinating states of matter exhibiting protected edge states and robust quantized features in their bulk. Here we propose and validate experimentally a method to detect topological properties in the bulk of one-dimensional chiral systems. We first introduce the mean chiral displacement, an observable that rapidly approaches a value proportional to the Zak phase during the free evolution of the system. Then we measure the Zak phase in a photonic quantum walk of twisted photons, by observing the mean chiral displacement in its bulk. Next, we measure the Zak phase in an alternative, inequivalent timeframe and combine the two windings to characterize the full phase diagram of this Floquet system. Finally, we prove the robustness of the measure by introducing dynamical disorder in the system. This detection method is extremely general and readily applicable to all present one-dimensional platforms simulating static or Floquet chiral systems.},
  issue = {1},
  langid = {english},
  keywords = {Quantum optics,Quantum simulation,Topological matter},
  file = {/home/hiro/Zotero/storage/5G3CF852/Cardano et al. - 2017 - Detection of Zak phases and topological invariants.pdf}
}

@online{Cardin2022,
  title = {Photon-Number Moments and Cumulants of {{Gaussian}} States},
  author = {Cardin, Yanic and Quesada, Nicolás},
  date = {2022-12-12},
  eprint = {2212.06067},
  eprinttype = {arxiv},
  eprintclass = {quant-ph},
  doi = {10.48550/arXiv.2212.06067},
  url = {http://arxiv.org/abs/2212.06067},
  urldate = {2023-01-20},
  abstract = {We develop a closed-form expression for the moments and cumulants of Gaussian states when measured in the photon-number basis. We express the photon-number moments of a Gaussian state in terms of the loop Hafnian, a function that when applied to \$(0,1)\$-matrices representing the adjacency of a graph, counts the number of its perfect matchings. We then use these expressions to calculate genuine photon-number correlations between modes in terms of cumulants. We show that when a uniformly lossy interferometer is fed in every input with identical single-mode Gaussian states with zero displacement, all the odd-order cumulants but the first one are zero. Finally, we employ the expressions we derive to study the distribution of cumulants up to the fourth order for different input states in a Gaussian boson sampling setup where \$K\$ identical states are fed into an \$\textbackslash ell\$-mode interferometer. We analyze the dependence of the cumulants as a function of the type of state, squeezed, lossy squeezed, squashed, or thermal, and as a function of the number of non-vacuum inputs. We find that thermal states perform much worse than other classical states, such as squashed states, at mimicking the photon-number cumulants of lossy or lossless squeezed states.},
  pubstate = {preprint},
  keywords = {Quantum Physics},
  file = {/home/hiro/Zotero/storage/CESVNFXZ/Cardin and Quesada - 2022 - Photon-number moments and cumulants of Gaussian st.pdf}
}

@article{Cartwright1976,
  title = {A Non-Negative {{Wigner-type}} Distribution},
  author = {Cartwright, N. D.},
  date = {1976-01},
  journaltitle = {Physica A},
  volume = {83},
  number = {1},
  pages = {210--212},
  publisher = {{North-Holland}},
  issn = {0378-4371},
  doi = {10.1016/0378-4371(76)90145-X},
  file = {/home/hiro/Zotero/storage/5CFU6VRL/cartwright1976.pdf.pdf;/home/hiro/Zotero/storage/APF2CJ6Z/Cartwright - 1976 - A non-negative Wigner-type distribution.pdf}
}

@article{Chen2010,
  title = {Fast {{Optimal Frictionless Atom Cooling}} in {{Harmonic Traps}}: {{Shortcut}} to {{Adiabaticity}}},
  author = {Chen, Xi and Ruschhaupt, A. and Schmidt, S. and del Campo, A. and Guıfmmode\textbackslash acutee\textbackslash elseé\textbackslash firy-Odelin, D. and Muga, J. G.},
  options = {useprefix=true},
  date = {2010-02},
  journaltitle = {Phys. Rev. Lett.},
  volume = {104},
  number = {6},
  pages = {063002},
  publisher = {{American Physical Society}},
  issn = {1079-7114},
  doi = {10.1103/PhysRevLett.104.063002},
  file = {/home/hiro/Zotero/storage/8NNPCY2Y/Chen et al. - 2010 - Fast Optimal Frictionless Atom Cooling in Harmonic.pdf}
}

@article{Chen2018,
  title = {Observation of {{Topologically Protected Edge States}} in a {{Photonic Two-Dimensional Quantum Walk}}},
  author = {Chen, Chao and Ding, Xing and Qin, Jian and He, Yu and Luo, Yi-Han and Chen, Ming-Cheng and Liu, Chang and Wang, Xi-Lin and Zhang, Wei-Jun and Li, Hao and You, Li-Xing and Wang, Zhen and Wang, Da-Wei and Sanders, Barry C. and Lu, Chao-Yang and Pan, Jian-Wei},
  date = {2018-09-06},
  journaltitle = {Physical Review Letters},
  shortjournal = {Phys. Rev. Lett.},
  volume = {121},
  number = {10},
  pages = {100502},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevLett.121.100502},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.121.100502},
  urldate = {2023-03-15},
  abstract = {Periodically driven systems have displayed a variety of fascinating phenomena without analogies in static systems, which enrich the classification of quantum phases of matter and stimulate a wide range of research interests. Here, we employ discrete-time quantum walks to investigate a nontrivial topological effect unique to a two-dimensional periodically driven system: chiral edge states can exist at the interface of Floquet insulators whose Chern numbers vanish. Thanks to a resource-saving and flexible fiber-loop architecture, we realize inhomogeneous two-dimensional quantum walks up to 25 steps, over an effective 51×51 lattice with tunable local parameters. Spin-polarized chiral edge states are observed at the boundary of two distinct quantum walk domains. Our results contribute to establishing a well-controlled platform for exploring nontrivial topological phases.},
  file = {/home/hiro/Zotero/storage/LKTA6ZHC/Chen et al. - 2018 - Observation of Topologically Protected Edge States.pdf;/home/hiro/Zotero/storage/DBP7DVBS/PhysRevLett.121.html}
}

@article{Cheng2005,
  title = {Markovian {{Approximation}} in the {{Relaxation}} of {{Open Quantum Systems}}},
  author = {Cheng, Y. C. and Silbey, R. J.},
  date = {2005-11},
  journaltitle = {The Journal of Physical Chemistry B},
  volume = {109},
  number = {45},
  pages = {21399--21405},
  issn = {1520-6106, 1520-5207},
  doi = {10.1021/jp051303o}
}

@article{Cheng2023,
  title = {Artificial {{Non-Abelian Lattice Gauge Fields}} for {{Photons}} in the {{Synthetic Frequency Dimension}}},
  author = {Cheng, Dali and Wang, Kai and Fan, Shanhui},
  date = {2023-02-22},
  journaltitle = {Physical Review Letters},
  shortjournal = {Phys. Rev. Lett.},
  volume = {130},
  number = {8},
  pages = {083601},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevLett.130.083601},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.130.083601},
  urldate = {2023-03-09},
  abstract = {Non-Abelian gauge fields give rise to nontrivial topological physics. Here we develop a scheme to create an arbitrary SU(2) lattice gauge field for photons in the synthetic frequency dimension using an array of dynamically modulated ring resonators. The photon polarization is taken as the spin basis to implement the matrix-valued gauge fields. Using a non-Abelian generalization of the Harper-Hofstadter Hamiltonian as a specific example, we show that the measurement of the steady-state photon amplitudes inside the resonators can reveal the band structures of the Hamiltonian, which show signatures of the underlying non-Abelian gauge field. These results provide opportunities to explore novel topological phenomena associated with non-Abelian lattice gauge fields in photonic systems.},
  file = {/home/hiro/Zotero/storage/2WG9TXBT/Cheng et al. - 2023 - Artificial Non-Abelian Lattice Gauge Fields for Ph.pdf;/home/hiro/Zotero/storage/RP7ZITJP/PhysRevLett.130.html}
}

@article{Chiu2016,
  title = {Classification of Topological Quantum Matter with Symmetries},
  author = {Chiu, Ching-Kai and Teo, Jeffrey C. Y. and Schnyder, Andreas P. and Ryu, Shinsei},
  date = {2016-08-31},
  journaltitle = {Reviews of Modern Physics},
  shortjournal = {Rev. Mod. Phys.},
  volume = {88},
  number = {3},
  pages = {035005},
  publisher = {{American Physical Society}},
  doi = {10.1103/RevModPhys.88.035005},
  url = {https://link.aps.org/doi/10.1103/RevModPhys.88.035005},
  urldate = {2023-04-15},
  abstract = {Topological materials have become the focus of intense research in recent years, since they exhibit fundamentally new physical phenomena with potential applications for novel devices and quantum information technology. One of the hallmarks of topological materials is the existence of protected gapless surface states, which arise due to a nontrivial topology of the bulk wave functions. This review provides a pedagogical introduction into the field of topological quantum matter with an emphasis on classification schemes. Both fully gapped and gapless topological materials and their classification in terms of nonspatial symmetries, such as time reversal, as well as spatial symmetries, such as reflection, are considered. Furthermore, the classification of gapless modes localized on topological defects is surveyed. The classification of these systems is discussed by use of homotopy groups, Clifford algebras, K theory, and nonlinear sigma models describing the Anderson (de)localization at the surface or inside a defect of the material. Theoretical model systems and their topological invariants are reviewed together with recent experimental results in order to provide a unified and comprehensive perspective of the field. While the bulk of this article is concerned with the topological properties of noninteracting or mean-field Hamiltonians, a brief overview of recent results and open questions concerning the topological classifications of interacting systems is also provided.},
  file = {/home/hiro/Zotero/storage/D66F3HQT/Chiu et al. - 2016 - Classification of topological quantum matter with .pdf;/home/hiro/Zotero/storage/AGD4AJTT/RevModPhys.88.html}
}

@book{Chruscinski2004,
  title = {Geometric {{Phases}} in {{Classical}} and {{Quantum Mechanics}}},
  author = {Chruściński, Dariusz and Jamiołkowski, Andrzej},
  date = {2004},
  publisher = {{Birkhäuser Boston}},
  location = {{Boston, MA}},
  doi = {10.1007/978-0-8176-8176-0},
  url = {http://link.springer.com/10.1007/978-0-8176-8176-0},
  urldate = {2023-01-26},
  isbn = {978-1-4612-6475-0 978-0-8176-8176-0},
  langid = {english},
  file = {/home/hiro/Zotero/storage/JRNNM7ET/Chruściński and Jamiołkowski - 2004 - Geometric Phases in Classical and Quantum Mechanic.pdf}
}

@article{CufaroPetroni2020,
  title = {Probability and {{Stochastic Processes}} for {{Physicists}} ||},
  author = {Cufaro Petroni, Nicola},
  date = {2020},
  journaltitle = {UNITEXT for Physics vol. 10.1007/978-3-030-48408-8},
  volume = {10.1007/978-3-030-48408-8},
  publisher = {{Springer International Publishing}},
  doi = {10.1007/978-3-030-48408-8},
  url = {libgen.li/file.php?md5=0ac1c3786767232ebdc10b716eff3b96},
  isbn = {9783030484071; 3030484076; 9783030484088; 3030484084},
  file = {/home/hiro/Zotero/storage/TVKL6X7W/Cufaro Petroni - 2020 - Probability and Stochastic Processes for Physicist.pdf}
}

@article{Davidoviifmmodeacutecelsecfi2020,
  title = {Completely {{Positive}}, {{Simple}}, and {{Possibly Highly Accurate Approximation}} of the {{Redfield Equation}}},
  author = {Davidoviıfmmode\textbackslash acutec\textbackslash elseć\textbackslash fi, Dragomir},
  date = {2020-09},
  journaltitle = {Quantum},
  volume = {4},
  pages = {326},
  publisher = {{Verein zur Fıfmmode\textbackslash ddoto\textbackslash elseö\textbackslash firderung des Open Access Publizierens in den Quantenwissenschaften}},
  doi = {10.22331/q-2020-09-21-326},
  file = {/home/hiro/Zotero/storage/K6K7NWGD/Davidoviıfmmodeacutecelsećfi - 2020 - Completely Positive, Simple, and Possibly Highly A.pdf}
}

@online{Descartes1988,
  title = {Descartes: {{Selected Philosophical Writings}}},
  shorttitle = {Descartes},
  author = {Descartes, René and Cottingham, John and Stoothoff, Robert and Murdoch, Dugald and Kenny, Anthony},
  date = {1988-02-25},
  publisher = {{Cambridge University Press}},
  doi = {10.1017/CBO9780511805059},
  url = {https://www.cambridge.org/highereducation/books/descartes-selected-philosophical-writings/31324F237F501A6F837FB820B23DB694},
  urldate = {2023-01-23},
  abstract = {Based on the new and much acclaimed two-volume Cambridge edition of The Philosophical Writings of Descartes by Cottingham, Stoothoff and Murdoch, this anthology of essential texts contains the most important and widely studied of those writings, including the Discourse and Meditations and substantial extracts from the Regulae, Optics, Principles, Objectives and Replies, Comments on a Broadsheet, and Passions of the Soul. In clear, readable, modern English, with a full text and running references to the standard Franco-Latin edition of Descartes, this book is planned as the definitive one-volume reader for all English-speaking students of Descartes.},
  isbn = {9780511805059},
  langid = {english},
  organization = {{Higher Education from Cambridge University Press}},
  file = {/home/hiro/Zotero/storage/EAKNT9KX/31324F237F501A6F837FB820B23DB694.html}
}

@article{Diifmmodeacuteoelseofisi1997,
  title = {The Non-{{Markovian}} Stochastic {{Schrıfmmode}}\textbackslash ddoto\textbackslash elseö\textbackslash fidinger Equation for Open Systems},
  author = {Diıfmmode\textbackslash acuteo\textbackslash elseó\textbackslash fisi, Lajos and Strunz, Walter T.},
  date = {1997-11},
  journaltitle = {Phys. Lett. A},
  volume = {235},
  number = {6},
  pages = {569--573},
  publisher = {{North-Holland}},
  issn = {0375-9601},
  doi = {10.1016/S0375-9601(97)00717-2},
  file = {/home/hiro/Zotero/storage/FNFIWIUB/Diıfmmodeacuteoelseófisi and Strunz - 1997 - The non-Markovian stochastic Schrıfmmodeddotoels.pdf}
}

@article{Diifmmodeacuteoelseofisi1998,
  title = {Non-{{Markovian}} Quantum State Diffusion},
  author = {Diıfmmode\textbackslash acuteo\textbackslash elseó\textbackslash fisi, L. and Gisin, N. and Strunz, W. T.},
  date = {1998-09},
  journaltitle = {Phys. Rev. A},
  volume = {58},
  number = {3},
  pages = {1699--1712},
  publisher = {{American Physical Society}},
  issn = {2469-9934},
  doi = {10.1103/PhysRevA.58.1699},
  file = {/home/hiro/Zotero/storage/EDLXJTLQ/Diıfmmodeacuteoelseófisi et al. - 1998 - Non-Markovian quantum state diffusion.pdf}
}

@article{Diosi1995,
  title = {Decoherent {{Histories}} and {{Quantum State Diffusion}}},
  author = {Diósi, Lajos and Gisin, Nicolas and Halliwell, Jonathan and Percival, Ian C.},
  date = {1995-01},
  journaltitle = {Phys. Rev. Lett.},
  volume = {74},
  number = {2},
  pages = {203--207},
  publisher = {{American Physical Society}},
  issn = {1079-7114},
  doi = {10.1103/PhysRevLett.74.203},
  file = {/home/hiro/Zotero/storage/64FS4TQL/Diósi et al. - 1995 - Decoherent Histories and Quantum State Diffusion.pdf}
}

@article{Dou2018,
  title = {Universal Approach to Quantum Thermodynamics in the Strong Coupling Regime},
  author = {Dou, Wenjie and Ochoa, Maicol A. and Nitzan, Abraham and Subotnik, Joseph E.},
  date = {2018-10},
  journaltitle = {Phys. Rev. B},
  volume = {98},
  number = {13},
  pages = {134306},
  publisher = {{American Physical Society}},
  issn = {2469-9969},
  doi = {10.1103/PhysRevB.98.134306},
  file = {/home/hiro/Zotero/storage/I5LVTXJS/Dou et al. - 2018 - Universal approach to quantum thermodynamics in th.pdf}
}

@article{Dutt2019,
  title = {Experimental Band Structure Spectroscopy along a Synthetic Dimension},
  author = {Dutt, Avik and Minkov, Momchil and Lin, Qian and Yuan, Luqi and Miller, David A. B. and Fan, Shanhui},
  date = {2019-07-16},
  journaltitle = {Nature Communications},
  shortjournal = {Nat Commun},
  volume = {10},
  number = {1},
  pages = {3122},
  publisher = {{Nature Publishing Group}},
  issn = {2041-1723},
  doi = {10.1038/s41467-019-11117-9},
  url = {https://www.nature.com/articles/s41467-019-11117-9},
  urldate = {2023-01-05},
  abstract = {There has been significant recent interest in synthetic dimensions, where internal degrees of freedom of a particle are coupled to form higher-dimensional lattices in lower-dimensional physical structures. For these systems, the concept of band structure along the synthetic dimension plays a central role in their theoretical description. Here we provide a direct experimental measurement of the band structure along the synthetic dimension. By dynamically modulating a resonator at frequencies commensurate with its mode spacing, we create a periodically driven lattice of coupled modes in the frequency dimension. The strength and range of couplings can be dynamically reconfigured by changing the modulation amplitude and frequency. We show theoretically and demonstrate experimentally that time-resolved transmission measurements of this system provide a direct readout of its band structure. We also realize long-range coupling, gauge potentials and nonreciprocal bands by simply incorporating additional frequency drives, enabling great flexibility in band structure engineering.},
  issue = {1},
  langid = {english},
  keywords = {Optical physics,Optics and photonics,Photonic devices,Topological matter},
  file = {/home/hiro/Zotero/storage/PWHYFXDN/Dutt et al. - 2019 - Experimental band structure spectroscopy along a s.pdf;/home/hiro/Zotero/storage/TWGWKTKI/supplement.pdf}
}

@article{Dutt2020,
  title = {Higher-Order Topological Insulators in Synthetic Dimensions},
  author = {Dutt, Avik and Minkov, Momchil and Williamson, Ian A. D. and Fan, Shanhui},
  date = {2020-07-20},
  journaltitle = {Light: Science \& Applications},
  shortjournal = {Light Sci Appl},
  volume = {9},
  number = {1},
  pages = {131},
  issn = {2047-7538},
  doi = {10.1038/s41377-020-0334-8},
  url = {https://www.nature.com/articles/s41377-020-0334-8},
  urldate = {2023-02-02},
  abstract = {Conventional topological insulators support boundary states with dimension one lower than that of the bulk system that hosts them, and these states are topologically protected due to quantized bulk dipole moments. Recently, higherorder topological insulators have been proposed as a way of realizing topological states with dimensions two or more lower than that of the bulk due to the quantization of bulk quadrupole or octupole moments. However, all these proposals as well as experimental realizations have been restricted to real-space dimensions. Here, we construct photonic higher-order topological insulators (PHOTIs) in synthetic dimensions. We show the emergence of a quadrupole PHOTI supporting topologically protected corner modes in an array of modulated photonic molecules with a synthetic frequency dimension, where each photonic molecule comprises two coupled rings. By changing the phase difference of the modulation between adjacent coupled photonic molecules, we predict a dynamical topological phase transition in the PHOTI. Furthermore, we show that the concept of synthetic dimensions can be exploited to realize even higher-order multipole moments such as a fourth-order hexadecapole (16-pole) insulator supporting 0D corner modes in a 4D hypercubic synthetic lattice that cannot be realized in real-space lattices.},
  langid = {english},
  file = {/home/hiro/Zotero/storage/PHE8L8AF/Dutt-etal-Higher-order-topological-LightSciAppl(2020)-Supplement.pdf;/home/hiro/Zotero/storage/WQ9SKTL5/Dutt et al. - 2020 - Higher-order topological insulators in synthetic d.pdf}
}

@misc{EricSchulte2022,
  title = {Introducing {{Babel}}},
  author = {Eric Schulte, Dan Davison},
  date = {2022-09},
  url = {https://orgmode.org/worg/org-contrib/babel/intro.html},
  note = {[Online; accessed 15. Sep. 2022]}
}

@article{Esposito2015,
  title = {Nature of Heat in Strongly Coupled Open Quantum Systems},
  author = {Esposito, Massimiliano and Ochoa, Maicol A. and Galperin, Michael},
  date = {2015-12},
  journaltitle = {Phys. Rev. B},
  volume = {92},
  number = {23},
  pages = {235440},
  publisher = {{American Physical Society}},
  issn = {2469-9969},
  doi = {10.1103/PhysRevB.92.235440},
  file = {/home/hiro/Zotero/storage/7PVL56JQ/Esposito et al. - 2015 - Nature of heat in strongly coupled open quantum sy.pdf}
}

@article{Feldmann2004,
  title = {Characteristics of the Limit Cycle of a Reciprocating Quantum Heat Engine},
  author = {Feldmann, Tova and Kosloff, Ronnie},
  date = {2004-10},
  journaltitle = {Phys. Rev. E},
  volume = {70},
  number = {4},
  pages = {046110},
  publisher = {{American Physical Society}},
  issn = {2470-0053},
  doi = {10.1103/PhysRevE.70.046110},
  file = {/home/hiro/Zotero/storage/DCH9T8GH/feldmann2004.pdf.pdf;/home/hiro/Zotero/storage/PUQDSRXX/Feldmann and Kosloff - 2004 - Characteristics of the limit cycle of a reciprocat.pdf}
}

@article{Feynman1963,
  title = {The Theory of a General Quantum System Interacting with a Linear Dissipative System},
  author = {Feynman, R. P. and Vernon, F. L.},
  date = {1963-10},
  journaltitle = {Ann. Phys.},
  volume = {24},
  pages = {118--173},
  publisher = {{Academic Press}},
  issn = {0003-4916},
  doi = {10.1016/0003-4916(63)90068-X},
  file = {/home/hiro/Zotero/storage/GFW3A5XT/Feynman and Vernon - 1963 - The theory of a general quantum system interacting.pdf}
}

@article{Fidkowski2011,
  title = {Model {{Characterization}} of {{Gapless Edge Modes}} of {{Topological Insulators Using Intermediate Brillouin-Zone Functions}}},
  author = {Fidkowski, Lukasz and Jackson, T. S. and Klich, Israel},
  date = {2011-07-11},
  journaltitle = {Physical Review Letters},
  shortjournal = {Phys. Rev. Lett.},
  volume = {107},
  number = {3},
  pages = {036601},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevLett.107.036601},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.107.036601},
  urldate = {2023-02-02},
  abstract = {We characterize gapless edge modes in translation invariant topological insulators. We show that the edge mode spectrum is a continuous deformation of the spectrum of a certain gluing function defining the occupied state bundle over the Brillouin zone. Topologically nontrivial gluing functions, corresponding to nontrivial bundles, then yield edge modes exhibiting spectral flow. We illustrate our results for the case of chiral edge states in two-dimensional Chern insulators, as well as helical edges in quantum spin Hall states.},
  file = {/home/hiro/Zotero/storage/8LF6FWA8/Fidkowski et al. - 2011 - Model Characterization of Gapless Edge Modes of To.pdf;/home/hiro/Zotero/storage/SL3DJJQJ/PhysRevLett.107.html}
}

@book{Fischer2013,
  title = {Mathematik für Physiker Band 3: Variationsrechnung - Differentialgeometrie - Mathematische Grundlagen der allgemeinen Relativitätstheorie},
  shorttitle = {Mathematik für Physiker Band 3},
  author = {Fischer, Helmut and Kaul, Helmut},
  date = {2013},
  publisher = {{Springer Fachmedien Wiesbaden}},
  location = {{Wiesbaden}},
  doi = {10.1007/978-3-658-00475-0},
  url = {https://link.springer.com/10.1007/978-3-658-00475-0},
  urldate = {2023-01-24},
  isbn = {978-3-658-00474-3 978-3-658-00475-0},
  langid = {ngerman},
  file = {/home/hiro/Zotero/storage/GP6J5UIY/Fischer and Kaul - 2013 - Mathematik für Physiker Band 3 Variationsrechnung.pdf}
}

@book{Fliessbach2012,
  title = {Elektrodynamik},
  author = {Fließbach, Torsten},
  date = {2012},
  publisher = {{Spektrum Akademischer Verlag}},
  location = {{Heidelberg}},
  doi = {10.1007/978-3-8274-3036-6},
  url = {http://link.springer.com/10.1007/978-3-8274-3036-6},
  urldate = {2023-01-06},
  isbn = {978-3-8274-3035-9 978-3-8274-3036-6},
  langid = {ngerman},
  annotation = {offset: 7},
  note = {3},
  file = {/home/hiro/Zotero/storage/4JDJHWBD/Fließbach - 2012 - Elektrodynamik.pdf}
}

@article{Gao2021,
  title = {Non-{{Markovian Stochastic Schrıfmmode}}\textbackslash backslash\textbackslash else\textbackslash textbackslash\textbackslash fi"odinger {{Equation}}: {{Matrix Product State Approach}} to the {{Hierarchy}} of {{Pure States}}},
  author = {Gao, Xing and Ren, Jiajun and Eisfeld, Alexander and Shuai, Zhigang},
  date = {2021-09},
  journaltitle = {arXiv},
  url = {https://arxiv.org/abs/2109.06393v3},
  file = {/home/hiro/Zotero/storage/TJ8N4GEQ/Gao et al. - 2021 - Non-Markovian Stochastic Schrıfmmodebackslashels.pdf}
}

@article{Gardiner1985,
  title = {Input and Output in Damped Quantum Systems: {{Quantum}} Stochastic Differential Equations and the Master Equation},
  shorttitle = {Input and Output in Damped Quantum Systems},
  author = {Gardiner, C. W. and Collett, M. J.},
  date = {1985-06-01},
  journaltitle = {Physical Review A},
  shortjournal = {Phys. Rev. A},
  volume = {31},
  number = {6},
  pages = {3761--3774},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevA.31.3761},
  url = {https://link.aps.org/doi/10.1103/PhysRevA.31.3761},
  urldate = {2023-06-06},
  abstract = {We develop a formulation of quantum damping theory in which the explicit nature of inputs from a heat bath, and of outputs into it, is taken into account. Quantum Langevin equations are developed, in which the Langevin forces are the field operators corresponding to the input modes. Time-reversed equations exist in which the Langevin forces are the output modes, and the sign of damping is reversed. Causality and boundary conditions relating inputs to system variables are developed. The concept of ‘‘quantum white noise’’ is formulated, and the formal relationship between quantum Langevin equations and quantum stochastic differential equations (SDE’s) is established. In analogy to the classical formulation, there are two kinds of SDE’s: the Ito and the Stratonovich forms. Rules are developed for converting from one to the other. These rules depend on the nature of the quantum white noise, which may be squeezed. The SDE’s developed are shown to be exactly equivalent to quantum master equations, and rules are developed for computing multitime-ordered correlation functions with use of the appropriate master equation. With use of the causality and boundary conditions, the relationship between correlation functions of the output and those of the system and the input is developed. It is possible to calculate what kind of output statistics result, provided that one knows the input statistics and provided that one can compute the system correlation functions.},
  file = {/home/hiro/Zotero/storage/6QQY25BH/gardiner1985.pdf.pdf;/home/hiro/Zotero/storage/MUK6CMWB/Gardiner and Collett - 1985 - Input and output in damped quantum systems Quantu.pdf;/home/hiro/Zotero/storage/6NKMMQ33/PhysRevA.31.html}
}

@article{Gaspard1999,
  title = {Slippage of {{Initial Conditions}} for the {{Redfield Master Equation}}},
  author = {Gaspard, P. and Nagaoka, M.},
  date = {1999-10},
  journaltitle = {The Journal of Chemical Physics},
  volume = {111},
  number = {13},
  pages = {5668--5675},
  issn = {0021-9606, 1089-7690},
  doi = {10.1063/1.479867},
  abstract = {For a slow open quantum subsystem weakly coupled to a fast thermal bath, we derive the general form of the slippage to be applied to the initial conditions of the Redfield master equation. This slippage is given by a superoperator which describes the non-Markovian dynamics of the subsystem during the short-time relaxation of the thermal bath. We verify in an example that the Redfield equation preserves positivity after the slippage superoperator has been applied to the initial density matrix of the subsystem. For δ-correlated baths, the Redfield master equation reduces to the Lindblad master equation and the slippage of initial conditions vanishes consistently.},
  keywords = {Matrix equations}
}

@article{Gaul2007,
  title = {Quantum Mechanical Heat Transport in Disordered Harmonic Chains},
  author = {Gaul, Christopher and Bıfmmode\textbackslash ddotu\textbackslash elseü\textbackslash fittner, Helmut},
  date = {2007-07},
  journaltitle = {Phys. Rev. E},
  volume = {76},
  number = {1},
  pages = {011111},
  publisher = {{American Physical Society}},
  issn = {2470-0053},
  doi = {10.1103/PhysRevE.76.011111},
  file = {/home/hiro/Zotero/storage/5XJ7Q2Z7/Gaul and Bıfmmodeddotuelseüfittner - 2007 - Quantum mechanical heat transport in disordered ha.pdf}
}

@article{Gaveau1995,
  title = {Limited Quantum Decay},
  author = {Gaveau, B and Schulman, L S},
  date = {1995-12-21},
  journaltitle = {Journal of Physics A: Mathematical and General},
  shortjournal = {J. Phys. A: Math. Gen.},
  volume = {28},
  number = {24},
  pages = {7359--7374},
  issn = {0305-4470, 1361-6447},
  doi = {10.1088/0305-4470/28/24/029},
  url = {https://iopscience.iop.org/article/10.1088/0305-4470/28/24/029},
  urldate = {2023-05-23},
  abstract = {An isolated level coupled to a continuum of levels need not decay fully into them Ordinarily one expects exponential decay. modulo finite-sire effects. transients and long-time power-law tails. In the phenomenon we describe the amplitude for remaining in the initial state at first drops, but then levels offand remains O(1) indefinitely. Because-of the available continuum, this is different from certain quantum localization phenomena where there i s an absence of on-shell levels. The origin of the effect we describe is,the existence af thresiiolds and band edges. A condition relating the proximity to threshold with the strength ofthe coupling determines whether the limited decay occurs.},
  langid = {english},
  file = {/home/hiro/Zotero/storage/HVFYSMIY/gaveau1995.pdf.pdf;/home/hiro/Zotero/storage/KIGGCKHK/Gaveau and Schulman - 1995 - Limited quantum decay.pdf}
}

@article{Geva1992,
  title = {A Quantum-Mechanical Heat Engine Operating in Finite Time. {{A}} Model Consisting of Spin-1/2 Systems as the Working Fluid},
  author = {Geva, Eitan and Kosloff, Ronnie},
  date = {1992-02},
  journaltitle = {J. Chem. Phys.},
  volume = {96},
  number = {4},
  pages = {3054--3067},
  publisher = {{American Institute of Physics}},
  issn = {0021-9606},
  doi = {10.1063/1.461951},
  file = {/home/hiro/Zotero/storage/N3FVN8ZZ/geva1992.pdf.pdf;/home/hiro/Zotero/storage/PRZP96JR/Geva and Kosloff - 1992 - A quantum-mechanical heat engine operating in fini.pdf}
}

@article{Gill2022,
  title = {Quantum Computing: {{A}} Taxonomy, Systematic Review and Future Directions},
  author = {Gill, Sukhpal Singh and Kumar, Adarsh and Singh, Harvinder and Singh, Manmeet and Kaur, Kamalpreet and Usman, Muhammad and Buyya, Rajkumar},
  date = {2022-01},
  journaltitle = {Softw.: Pract. Exper.},
  volume = {52},
  number = {1},
  pages = {66--114},
  publisher = {{John Wiley \& Sons, Ltd}},
  issn = {0038-0644},
  doi = {10.1002/spe.3039},
  file = {/home/hiro/Zotero/storage/7TYGBVM8/Gill et al. - 2022 - Quantum computing A taxonomy, systematic review a.pdf}
}

@article{Gisin1992,
  title = {The Quantum-State Diffusion Model Applied to Open Systems},
  author = {Gisin, N. and Percival, I. C.},
  date = {1992-11},
  journaltitle = {J. Phys. A: Math. Gen.},
  volume = {25},
  number = {21},
  pages = {5677--5691},
  publisher = {{IOP Publishing}},
  issn = {0305-4470},
  doi = {10.1088/0305-4470/25/21/023},
  file = {/home/hiro/Zotero/storage/N3MWPTX8/Gisin and Percival - 1992 - The quantum-state diffusion model applied to open .pdf}
}

@book{Godinho2014,
  title = {An {{Introduction}} to {{Riemannian Geometry}}: {{With Applications}} to {{Mechanics}} and {{Relativity}}},
  shorttitle = {An {{Introduction}} to {{Riemannian Geometry}}},
  author = {Godinho, Leonor and Natário, José},
  date = {2014},
  series = {Universitext},
  publisher = {{Springer International Publishing}},
  location = {{Cham}},
  doi = {10.1007/978-3-319-08666-8},
  url = {https://link.springer.com/10.1007/978-3-319-08666-8},
  urldate = {2023-04-11},
  isbn = {978-3-319-08665-1 978-3-319-08666-8},
  langid = {english},
  annotation = {offset: 11},
  file = {/home/hiro/Zotero/storage/WS9JFB53/Godinho and Natário - 2014 - An Introduction to Riemannian Geometry With Appli.pdf}
}

@article{Grabert1988,
  title = {Quantum {{Brownian}} Motion: {{The}} Functional Integral Approach},
  author = {Grabert, Hermann and Schramm, Peter and Ingold, Gert-Ludwig},
  date = {1988-10},
  journaltitle = {Phys. Rep.},
  volume = {168},
  number = {3},
  pages = {115--207},
  publisher = {{North-Holland}},
  issn = {0370-1573},
  doi = {10.1016/0370-1573(88)90023-3},
  file = {/home/hiro/Zotero/storage/KV4BBX3G/Grabert et al. - 1988 - Quantum Brownian motion The functional integral a.pdf}
}

@article{Gutierrez-Ruiz2021,
  title = {Quantum Geometric Tensor and Quantum Phase Transitions in the {{Lipkin-Meshkov-Glick}} Model},
  author = {Gutiérrez-Ruiz, Daniel and Gonzalez, Diego and Chávez-Carlos, Jorge and Hirsch, Jorge G. and Vergara, J. David},
  date = {2021-05-10},
  journaltitle = {Physical Review B},
  shortjournal = {Phys. Rev. B},
  volume = {103},
  number = {17},
  pages = {174104},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevB.103.174104},
  url = {https://link.aps.org/doi/10.1103/PhysRevB.103.174104},
  urldate = {2023-03-07},
  abstract = {We study the quantum metric tensor and its scalar curvature for a particular version of the Lipkin-Meshkov-Glick model. We build the classical Hamiltonian using Bloch coherent states and find its stationary points. They exhibit the presence of a ground-state quantum phase transition where a bifurcation occurs, showing a change in stability associated with an excited-state quantum phase transition. Symmetrically, for a sign change in one Hamiltonian parameter, the same phenomenon is observed in the highest-energy state. Employing the Holstein-Primakoff approximation, we derive analytic expressions for the quantum metric tensor and compute the scalar and Berry curvatures. We contrast the analytic results with their finite-size counterparts obtained through exact numerical diagonalization and find excellent agreement between them for large sizes of the system in a wide region of the parameter space except in points near the phase transition where the Holstein-Primakoff approximation ceases to be valid.},
  file = {/home/hiro/Zotero/storage/2Q2M3N37/Gutiérrez-Ruiz et al. - 2021 - Quantum geometric tensor and quantum phase transit.pdf;/home/hiro/Zotero/storage/8LCFKSQE/PhysRevB.103.html}
}

@article{Haake1983,
  title = {Adiabatic {{Drag}} and {{Initial Slip}} in {{Random Processes}}},
  author = {Haake, Fritz and Lewenstein, Maciej},
  date = {1983-12},
  journaltitle = {Physical Review A},
  volume = {28},
  number = {6},
  pages = {3606--3612},
  doi = {10.1103/PhysRevA.28.3606},
  abstract = {We describe a method for the solution of initial-value problems for random processes arising through adiabatic approximations from Markov processes of higher dimension. In applications to overdamped Brownian motion and to the single-mode laser we calculate correlation functions and discuss initial slips.}
}

@article{Haldane1988,
  title = {Model for a {{Quantum Hall Effect}} without {{Landau Levels}}: {{Condensed-Matter Realization}} of the "{{Parity Anomaly}}"},
  shorttitle = {Model for a {{Quantum Hall Effect}} without {{Landau Levels}}},
  author = {Haldane, F. D. M.},
  date = {1988-10-31},
  journaltitle = {Physical Review Letters},
  shortjournal = {Phys. Rev. Lett.},
  volume = {61},
  number = {18},
  pages = {2015--2018},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevLett.61.2015},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.61.2015},
  urldate = {2023-04-12},
  abstract = {A two-dimensional condensed-matter lattice model is presented which exhibits a nonzero quantization of the Hall conductance σxy in the absence of an external magnetic field. Massless fermions without spectral doubling occur at critical values of the model parameters, and exhibit the so-called "parity anomaly" of (2+1)-dimensional field theories.},
  file = {/home/hiro/Zotero/storage/FTHRXMKI/Haldane - 1988 - Model for a Quantum Hall Effect without Landau Lev.pdf;/home/hiro/Zotero/storage/BYN97P69/PhysRevLett.61.html}
}

@article{Harris2020,
  title = {Array Programming with {{NumPy}}},
  author = {Harris, Charles R. and Millman, K. Jarrod and van der Walt, Stéfan J. and Gommers, Ralf and Virtanen, Pauli and Cournapeau, David and Wieser, Eric and Taylor, Julian and Berg, Sebastian and Smith, Nathaniel J. and Kern, Robert and Picus, Matti and Hoyer, Stephan and van Kerkwijk, Marten H. and Brett, Matthew and Haldane, Allan and del Río, Jaime Fernández and Wiebe, Mark and Peterson, Pearu and Gérard-Marchant, Pierre and Sheppard, Kevin and Reddy, Tyler and Weckesser, Warren and Abbasi, Hameer and Gohlke, Christoph and Oliphant, Travis E.},
  date = {2020-09},
  journaltitle = {Nature},
  volume = {585},
  number = {7825},
  pages = {357--362},
  publisher = {{Springer Science and Business Media LLC}},
  doi = {10.1038/s41586-020-2649-2},
  url = {https://doi.org/10.1038/s41586-020-2649-2},
  file = {/home/hiro/Zotero/storage/A8E4WMSK/Harris et al. - 2020 - Array programming with NumPy.pdf;/home/hiro/Zotero/storage/AMMGDW7G/10.1038@s41586-020-2649-2.pdf.pdf}
}

@article{Hartmann2017,
  title = {Exact {{Open Quantum System Dynamics Using}} the {{Hierarchy}} of {{Pure States}} ({{HOPS}})},
  author = {Hartmann, Richard and Strunz, Walter T.},
  date = {2017-12},
  journaltitle = {J. Chem. Theory Comput.},
  volume = {13},
  number = {12},
  pages = {5834--5845},
  publisher = {{J Chem Theory Comput}},
  issn = {1549-9626},
  doi = {10.1021/acs.jctc.7b00751},
  file = {/home/hiro/Zotero/storage/9ZTPC4R8/Hartmann and Strunz - 2017 - Exact Open Quantum System Dynamics Using the Hiera.pdf;/home/hiro/Zotero/storage/VVVZXRZE/hartmann2017.pdf.pdf}
}

@article{Hartmann2019,
  title = {Exact Open Quantum System Dynamics: {{Optimal}} Frequency vs Time Representation of Bath Correlations},
  shorttitle = {Exact Open Quantum System Dynamics},
  author = {Hartmann, Richard and Werther, Michael and Grossmann, Frank and Strunz, Walter T.},
  date = {2019-06-17},
  journaltitle = {The Journal of Chemical Physics},
  shortjournal = {The Journal of Chemical Physics},
  volume = {150},
  number = {23},
  pages = {234105},
  issn = {0021-9606},
  doi = {10.1063/1.5097158},
  url = {https://doi.org/10.1063/1.5097158},
  urldate = {2023-04-19},
  abstract = {Two different numerically exact methods for open quantum system dynamics, the hierarchy of pure states (HOPS) method, and the multi-Davydov-Ansatz are discussed. We focus on the suitability of the underlying representations of bath correlations. While in the HOPS case the correct description of the bath correlation function (BCF) in the time domain is decisive, it turns out that a windowed Fourier transform of the BCF is an appropriate indicator of the quality of the discretization in the multi-Davydov-Ansatz. For the spin-boson model with sub-Ohmic spectral density considered here, a discretization of the spectral density based on an exponential distribution, used previously, turns out to be most favorable.},
  file = {/home/hiro/Zotero/storage/PEP8E9DB/10.1063@1.5097158.pdf.pdf;/home/hiro/Zotero/storage/TZUUZ3C9/Hartmann et al. - 2019 - Exact open quantum system dynamics Optimal freque.pdf;/home/hiro/Zotero/storage/UP5PQIRP/Exact-open-quantum-system-dynamics-Optimal.html}
}

@thesis{Hartmann2021,
  type = {phdthesis},
  title = {Exact {{Open Quantum System Dynamics}} – {{Investigating Environmentally Induced Entanglement}}},
  author = {Hartmann, Richard},
  date = {2021},
  institution = {{Institut für Theoretische Physik, Technische Universität Dresden}},
  url = {https://nbn-resolving.org/urn:nbn:de:bsz:14-qucosa2-785576},
  file = {/home/hiro/Zotero/storage/39YQMP6R/Hartmann - 2021 - Exact Open Quantum System Dynamics – Investigating.pdf}
}

@article{Hartmann2021a,
  title = {Open {{Quantum System Response}} from the {{Hierarchy}} of {{Pure States}}},
  author = {Hartmann, Richard and Strunz, Walter T.},
  date = {2021-08},
  journaltitle = {J. Phys. Chem. A},
  volume = {125},
  number = {32},
  pages = {7066--7079},
  publisher = {{American Chemical Society}},
  issn = {1089-5639},
  doi = {10.1021/acs.jpca.1c03339},
  file = {/home/hiro/Zotero/storage/88FL5MVV/hartmann2021.pdf.pdf}
}

@book{Haus1984,
  title = {Waves and {{Fields}} in {{Optoelectronics}}},
  author = {Haus, Hermann A.},
  date = {1984},
  eprint = {AQUpAQAAMAAJ},
  eprinttype = {googlebooks},
  publisher = {{Prentice-Hall}},
  abstract = {Maxwell's equations of isotropic media and some important identities. Reflection of plane waves from interfaces. Mirrors and interferometers. Fresnel diffraction in paraxial limit. Hermit-Gaussian beams and their transformations. Optical fibers and guiding layers. Coupling of modes - resonators and couplers. Distributed feedback structures. Acousto-optic modulators. Some nonlinear systems. Wave propagation in anisotropic media. Electro-optic modulators. Nonlinear optics. Optical detection.},
  isbn = {978-0-13-946053-1},
  langid = {english},
  pagetotal = {426},
  keywords = {Technology \& Engineering / General},
  file = {/home/hiro/Zotero/storage/M95ZTBRT/Haus - 1984 - Waves and Fields in Optoelectronics.pdf}
}

@book{Hennig2022,
  title = {Probabilistic {{Numerics}}},
  author = {Hennig, Philipp and Osborne, Michael A. and Kersting, Hans P.},
  date = {2022-06-30},
  eprint = {TNduEAAAQBAJ},
  eprinttype = {googlebooks},
  publisher = {{Cambridge University Press}},
  abstract = {Probabilistic numerical computation formalises the connection between machine learning and applied mathematics. Numerical algorithms approximate intractable quantities from computable ones. They estimate integrals from evaluations of the integrand, or the path of a dynamical system described by differential equations from evaluations of the vector field. In other words, they infer a latent quantity from data. This book shows that it is thus formally possible to think of computational routines as learning machines, and to use the notion of Bayesian inference to build more flexible, efficient, or customised algorithms for computation. The text caters for Masters' and PhD students, as well as postgraduate researchers in artificial intelligence, computer science, statistics, and applied mathematics. Extensive background material is provided along with a wealth of figures, worked examples, and exercises (with solutions) to develop intuition.},
  isbn = {978-1-107-16344-7},
  langid = {english},
  pagetotal = {411},
  keywords = {Computers / Artificial Intelligence / General,Computers / General,Computers / Programming / Algorithms,Mathematics / Discrete Mathematics,Mathematics / Numerical Analysis,Mathematics / Probability \& Statistics / General},
  file = {/home/hiro/Zotero/storage/CVGW82QF/Hennig et al. - 2022 - Probabilistic Numerics.pdf}
}

@article{Hita-Pifmmodeacuteeelseefirez2021,
  title = {Three-{{Josephson}} Junctions Flux Qubit Couplings},
  author = {Hita-Pıfmmode\textbackslash acutee\textbackslash elseé\textbackslash firez, Marıfmmode\textbackslash acuteımath\textbackslash elseí\textbackslash fia and Jaumıfmmode\textbackslash gravea\textbackslash elseà\textbackslash fi, Gabriel and Pino, Manuel and Garcıfmmode\textbackslash acuteımath\textbackslash elseí\textbackslash fia-Ripoll, Juan Josıfmmode\textbackslash acutee\textbackslash elseé\textbackslash fi},
  date = {2021-11},
  journaltitle = {Appl. Phys. Lett.},
  volume = {119},
  number = {22},
  pages = {222601},
  publisher = {{American Institute of Physics}},
  issn = {0003-6951},
  doi = {10.1063/5.0069530},
  file = {/home/hiro/Zotero/storage/HPCMDGLJ/Hita-Pıfmmodeacuteeelseéfirez et al. - 2021 - Three-Josephson junctions flux qubit couplings.pdf}
}

@article{Hita-Pifmmodeacuteeelseefirez2021a,
  title = {Ultrastrong Capacitive Coupling of Flux Qubits},
  author = {Hita-Pıfmmode\textbackslash acutee\textbackslash elseé\textbackslash firez, Marıfmmode\textbackslash acuteımath\textbackslash elseí\textbackslash fia and Jaumıfmmode\textbackslash gravea\textbackslash elseà\textbackslash fi, Gabriel and Pino, Manuel and Garcıfmmode\textbackslash acuteımath\textbackslash elseí\textbackslash fia-Ripoll, Juan Josıfmmode\textbackslash acutee\textbackslash elseé\textbackslash fi},
  date = {2021-08},
  journaltitle = {arXiv},
  url = {https://arxiv.org/abs/2108.02549v1},
  file = {/home/hiro/Zotero/storage/I84SRXRP/Hita-Pıfmmodeacuteeelseéfirez et al. - 2021 - Ultrastrong capacitive coupling of flux qubits.pdf}
}

@article{Irish2007,
  title = {Generalized {{Rotating-Wave Approximation}} for {{Arbitrarily Large Coupling}}},
  author = {Irish, E. K.},
  date = {2007-10},
  journaltitle = {Phys. Rev. Lett.},
  volume = {99},
  number = {17},
  pages = {173601},
  publisher = {{American Physical Society}},
  issn = {1079-7114},
  doi = {10.1103/PhysRevLett.99.173601},
  file = {/home/hiro/Zotero/storage/HHPT7H3V/Irish - 2007 - Generalized Rotating-Wave Approximation for Arbitr.pdf}
}

@article{Jacobs,
  title = {Quantum {{Measurement Theory}} and Its {{Applications}}},
  author = {Jacobs, Kurt(Author)},
  langid = {english},
  annotation = {offset: 14},
  file = {/home/hiro/Zotero/storage/5VIDTMIE/Jacobs - Quantum Measurement Theory and its Applications.pdf}
}

@book{Jacobs2010,
  title = {Stochastic {{Processes}} for {{Physicists}}: {{Understanding Noisy Systems}}},
  author = {Jacobs, K.},
  date = {2010},
  publisher = {{Cambridge University Press}},
  url = {https://books.google.de/books?id=5PEjmQEACAAJ},
  isbn = {978-0-521-76542-8},
  lccn = {2010278127}
}

@article{Johansson2017,
  title = {Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic},
  author = {Johansson, F.},
  date = {2017},
  journaltitle = {IEEE Transactions on Computers},
  volume = {66},
  number = {8},
  pages = {1281--1292},
  doi = {10.1109/TC.2017.2690633},
  file = {/home/hiro/Zotero/storage/2T439YPV/Johansson - 2017 - Arb efficient arbitrary-precision midpoint-radius.pdf;/home/hiro/Zotero/storage/TI7XWRCG/johansson2017.pdf.pdf}
}

@incollection{Kane2013,
  title = {Topological {{Band Theory}} and the {{ℤ2 Invariant}}},
  booktitle = {Contemporary {{Concepts}} of {{Condensed Matter Science}}},
  author = {Kane, C.L.},
  date = {2013},
  volume = {6},
  pages = {3--34},
  publisher = {{Elsevier}},
  doi = {10.1016/B978-0-444-63314-9.00001-9},
  url = {https://linkinghub.elsevier.com/retrieve/pii/B9780444633149000019},
  urldate = {2023-04-11},
  isbn = {978-0-444-63314-9},
  langid = {english},
  annotation = {offset: -2},
  file = {/home/hiro/Zotero/storage/T722ZHCX/Kane - 2013 - Topological Band Theory and the ℤ2 Invariant.pdf}
}

@article{Karimi2016,
  title = {Otto Refrigerator Based on a Superconducting Qubit: {{Classical}} and Quantum Performance},
  author = {Karimi, B. and Pekola, J. P.},
  date = {2016-11},
  journaltitle = {Phys. Rev. B},
  volume = {94},
  number = {18},
  pages = {184503},
  publisher = {{American Physical Society}},
  issn = {2469-9969},
  doi = {10.1103/PhysRevB.94.184503},
  file = {/home/hiro/Zotero/storage/XEPSRBT2/Karimi and Pekola - 2016 - Otto refrigerator based on a superconducting qubit.pdf}
}

@article{Kato2015,
  title = {Quantum Heat Transport of a Two-Qubit System: {{Interplay}} between System-Bath Coherence and Qubit-Qubit Coherence},
  author = {Kato, Akihito and Tanimura, Yoshitaka},
  date = {2015-08},
  journaltitle = {J. Chem. Phys.},
  volume = {143},
  number = {6},
  pages = {064107},
  publisher = {{American Institute of Physics}},
  issn = {0021-9606},
  doi = {10.1063/1.4928192},
  file = {/home/hiro/Zotero/storage/EIGM734G/Kato and Tanimura - 2015 - Quantum heat transport of a two-qubit system Inte.pdf}
}

@article{Kato2016,
  title = {Quantum Heat Current under Non-Perturbative and Non-{{Markovian}} Conditions: {{Applications}} to Heat Machines},
  author = {Kato, Akihito and Tanimura, Yoshitaka},
  date = {2016-12},
  journaltitle = {J. Chem. Phys.},
  volume = {145},
  number = {22},
  pages = {224105},
  publisher = {{American Institute of Physics}},
  issn = {0021-9606},
  doi = {10.1063/1.4971370},
  file = {/home/hiro/Zotero/storage/FR3BD4N4/Kato and Tanimura - 2016 - Quantum heat current under non-perturbative and no.pdf}
}

@article{Kitaev2009,
  title = {Periodic Table for Topological Insulators and Superconductors},
  author = {Kitaev, Alexei},
  date = {2009-05-14},
  journaltitle = {AIP Conference Proceedings},
  volume = {1134},
  number = {1},
  pages = {22--30},
  publisher = {{American Institute of Physics}},
  issn = {0094-243X},
  doi = {10.1063/1.3149495},
  url = {https://aip.scitation.org/doi/abs/10.1063/1.3149495},
  urldate = {2023-04-14},
  file = {/home/hiro/Zotero/storage/AQA3PISV/Kitaev - 2009 - Periodic table for topological insulators and supe.pdf}
}

@article{Kitagawa2010,
  title = {Exploring Topological Phases with Quantum Walks},
  author = {Kitagawa, Takuya and Rudner, Mark S. and Berg, Erez and Demler, Eugene},
  date = {2010-09-24},
  journaltitle = {Physical Review A},
  shortjournal = {Phys. Rev. A},
  volume = {82},
  number = {3},
  pages = {033429},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevA.82.033429},
  url = {https://link.aps.org/doi/10.1103/PhysRevA.82.033429},
  urldate = {2023-03-20},
  abstract = {The quantum walk was originally proposed as a quantum-mechanical analog of the classical random walk, and has since become a powerful tool in quantum information science. In this paper, we show that discrete-time quantum walks provide a versatile platform for studying topological phases, which are currently the subject of intense theoretical and experimental investigations. In particular, we demonstrate that recent experimental realizations of quantum walks with cold atoms, photons, and ions simulate a nontrivial one-dimensional topological phase. With simple modifications, the quantum walk can be engineered to realize all of the topological phases, which have been classified in one and two dimensions. We further discuss the existence of robust edge modes at phase boundaries, which provide experimental signatures for the nontrivial topological character of the system.},
  file = {/home/hiro/Zotero/storage/HR8JLATF/Kitagawa et al. - 2010 - Exploring topological phases with quantum walks.pdf;/home/hiro/Zotero/storage/WNBPELVA/PhysRevA.82.html}
}

@article{Klatzow2019,
  title = {Experimental {{Demonstration}} of {{Quantum Effects}} in the {{Operation}} of {{Microscopic Heat Engines}}},
  author = {Klatzow, James and Becker, Jonas N. and Ledingham, Patrick M. and Weinzetl, Christian and Kaczmarek, Krzysztof T. and Saunders, Dylan J. and Nunn, Joshua and Walmsley, Ian A. and Uzdin, Raam and Poem, Eilon},
  date = {2019-03},
  journaltitle = {Phys. Rev. Lett.},
  volume = {122},
  number = {11},
  pages = {110601},
  publisher = {{American Physical Society}},
  issn = {1079-7114},
  doi = {10.1103/PhysRevLett.122.110601},
  file = {/home/hiro/Zotero/storage/M4KINH2A/Klatzow et al. - 2019 - Experimental Demonstration of Quantum Effects in t.pdf}
}

@article{Klauder1968,
  title = {Fundamentals of {{Quantum Optics Benjamin}}},
  author = {Klauder, JR and Sudarshan, ECG},
  date = {1968},
  journaltitle = {Inc., New York}
}

@book{Klauder2006,
  title = {Fundamentals of Quantum Optics},
  author = {Klauder, John R. and Sudarshan, E. C. G.},
  date = {2006},
  publisher = {{Dover Publications}},
  url = {http://gen.lib.rus.ec/book/index.php?md5=75f98744301ceb28ef7a165c689e613d},
  urldate = {2023-01-20},
  isbn = {978-0-486-45008-7},
  file = {/home/hiro/Zotero/storage/CC6QNBVV/John R. Klauder, E. C. G. Sudarshan - Fundamentals of quantum optics-Dover Publications (2006).djvu}
}

@book{Knuth1997,
  title = {The Art of Computer Programming, Volume 2 (3rd Ed.): Seminumerical Algorithms},
  author = {Knuth, Donald E.},
  date = {1997},
  publisher = {{Addison-Wesley Longman Publishing Co., Inc.}},
  location = {{Boston, MA, USA}},
  url = {http://portal.acm.org/citation.cfm?id=270146},
  isbn = {0-201-89684-2},
  keywords = {algorithms}
}

@article{Kofman2004,
  title = {Unified {{Theory}} of {{Dynamically Suppressed Qubit Decoherence}} in {{Thermal Baths}}},
  author = {Kofman, A. G. and Kurizki, G.},
  date = {2004-09},
  journaltitle = {Phys. Rev. Lett.},
  volume = {93},
  number = {13},
  pages = {130406},
  publisher = {{American Physical Society}},
  issn = {1079-7114},
  doi = {10.1103/PhysRevLett.93.130406},
  file = {/home/hiro/Zotero/storage/NLCFAYBC/Kofman and Kurizki - 2004 - Unified Theory of Dynamically Suppressed Qubit Dec.pdf}
}

@article{Kolifmmodeacuteaelseafiifmmodecheckrelserfi2012,
  title = {Quantum {{Bath Refrigeration}} towards {{Absolute Zero}}: {{Challenging}} the {{Unattainability Principle}}},
  author = {Kolıfmmode\textbackslash acutea\textbackslash elseá\textbackslash fiıfmmode\textbackslash checkr\textbackslash elseř\textbackslash fi, M. and Gelbwaser-Klimovsky, D. and Alicki, R. and Kurizki, G.},
  date = {2012-08},
  journaltitle = {Phys. Rev. Lett.},
  volume = {109},
  number = {9},
  pages = {090601},
  publisher = {{American Physical Society}},
  issn = {1079-7114},
  doi = {10.1103/PhysRevLett.109.090601},
  file = {/home/hiro/Zotero/storage/C7X7EJSH/Kolıfmmodeacuteaelseáfiıfmmodecheckrelseřfi et al. - 2012 - Quantum Bath Refrigeration towards Absolute Zero .pdf}
}

@book{Kurizki2021,
  title = {Thermodynamics and {{Control}} of {{Open Quantum Systems}}},
  author = {Kurizki, Gershon and Kofman, Abraham G.},
  date = {2021-12},
  journaltitle = {Cambridge Core},
  publisher = {{Cambridge University Press}},
  location = {{Cambridge, England, UK}},
  doi = {10.1017/9781316798454},
  isbn = {978-1-316-79845-4},
  file = {/home/hiro/Zotero/storage/7PG7ZIYE/Kurizki and Kofman - 2021 - Thermodynamics and Control of Open Quantum Systems.pdf}
}

@article{Laughlin1981,
  title = {Quantized {{Hall}} Conductivity in Two Dimensions},
  author = {Laughlin, R. B.},
  date = {1981-05-15},
  journaltitle = {Physical Review B},
  shortjournal = {Phys. Rev. B},
  volume = {23},
  number = {10},
  pages = {5632--5633},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevB.23.5632},
  url = {https://link.aps.org/doi/10.1103/PhysRevB.23.5632},
  urldate = {2023-04-12},
  abstract = {It is shown that the quantization of the Hall conductivity of two-dimensional metals which has been observed recently by Klitzing, Dorda, and Pepper and by Tsui and Gossard is a consequence of gauge invariance and the existence of a mobility gap. Edge effects are shown to have no influence on the accuracy of quantization. An estimate of the error based on thermal activation of carriers to the mobility edge is suggested., This article appears in the following collection:},
  file = {/home/hiro/Zotero/storage/CNFP5BNF/Laughlin - 1981 - Quantized Hall conductivity in two dimensions.pdf}
}

@article{Lenard1978,
  title = {Thermodynamical Proof of the {{Gibbs}} Formula for Elementary Quantum Systems},
  author = {Lenard, A.},
  date = {1978-12},
  journaltitle = {J. Stat. Phys.},
  volume = {19},
  number = {6},
  pages = {575--586},
  publisher = {{Kluwer Academic Publishers-Plenum Publishers}},
  issn = {1572-9613},
  doi = {10.1007/BF01011769},
  file = {/home/hiro/Zotero/storage/IV52P9V7/Lenard - 1978 - Thermodynamical proof of the Gibbs formula for ele.pdf}
}

@article{Levine2019,
  title = {Quantum {{Entanglement}} in {{Deep Learning Architectures}}},
  author = {Levine, Yoav and Sharir, Or and Cohen, Nadav and Shashua, Amnon},
  date = {2019-02-12},
  journaltitle = {Physical Review Letters},
  shortjournal = {Phys. Rev. Lett.},
  volume = {122},
  number = {6},
  pages = {065301},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevLett.122.065301},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.122.065301},
  urldate = {2023-03-14},
  abstract = {Modern deep learning has enabled unprecedented achievements in various domains. Nonetheless, employment of machine learning for wave function representations is focused on more traditional architectures such as restricted Boltzmann machines (RBMs) and fully connected neural networks. In this Letter, we establish that contemporary deep learning architectures, in the form of deep convolutional and recurrent networks, can efficiently represent highly entangled quantum systems. By constructing tensor network equivalents of these architectures, we identify an inherent reuse of information in the network operation as a key trait which distinguishes them from standard tensor network-based representations, and which enhances their entanglement capacity. Our results show that such architectures can support volume-law entanglement scaling, polynomially more efficiently than presently employed RBMs. Thus, beyond a quantification of the entanglement capacity of leading deep learning architectures, our analysis formally motivates a shift of trending neural-network-based wave function representations closer to the state-of-the-art in machine learning.},
  file = {/home/hiro/Zotero/storage/VXYVI95B/Levine et al. - 2019 - Quantum Entanglement in Deep Learning Architecture.pdf}
}

@article{Link2022,
  title = {Non-{{Markovian Quantum Dynamics}} in a {{Squeezed Reservoir}}},
  author = {Link, Valentin and Strunz, Walter T. and Luoma, Kimmo},
  date = {2022-02},
  journaltitle = {Entropy},
  volume = {24},
  number = {3},
  pages = {352},
  publisher = {{Multidisciplinary Digital Publishing Institute}},
  issn = {1099-4300},
  doi = {10.3390/e24030352},
  file = {/home/hiro/Zotero/storage/UR8REKT4/Link et al. - 2022 - Non-Markovian Quantum Dynamics in a Squeezed Reser.pdf}
}

@thesis{Link2022a,
  type = {phdthesis},
  title = {Stochastic Dynamics of Open Quantum Systems with Applications to Nonequilibrium Phase Transitions},
  author = {Link, Valentin},
  date = {2022},
  institution = {{Institut für Theoretische Physik, Technische Universität Dresden}},
  location = {{Dresden}},
  url = {http://slubdd.de/katalog?TN_libero_mab216914069},
  keywords = {Hochschulschrift}
}

@article{Lobejko2021,
  title = {The Tight {{Second Law}} Inequality for Coherent Quantum Systems and Finite-Size Heat Baths},
  author = {\textbackslash Lobejko, Marcin},
  date = {2021-02},
  journaltitle = {Nat. Commun.},
  volume = {12},
  number = {918},
  pages = {1--6},
  publisher = {{Nature Publishing Group}},
  issn = {2041-1723},
  doi = {10.1038/s41467-021-21140-4},
  file = {/home/hiro/Zotero/storage/2CLDGP85/Lobejko - 2021 - The tight Second Law inequality for coherent quant.pdf}
}

@article{Lustig2019,
  title = {Photonic Topological Insulator in Synthetic Dimensions},
  author = {Lustig, Eran and Weimann, Steffen and Plotnik, Yonatan and Lumer, Yaakov and Bandres, Miguel A. and Szameit, Alexander and Segev, Mordechai},
  date = {2019-03},
  journaltitle = {Nature},
  volume = {567},
  number = {7748},
  pages = {356--360},
  publisher = {{Nature Publishing Group}},
  issn = {1476-4687},
  doi = {10.1038/s41586-019-0943-7},
  url = {https://www.nature.com/articles/s41586-019-0943-7},
  urldate = {2023-03-15},
  abstract = {Topological phases enable protected transport along the edges of materials, offering immunity against scattering from disorder and imperfections. These phases have been demonstrated for electronic systems, electromagnetic waves1–5, cold atoms6,7, acoustics8 and even mechanics9, and their potential applications include spintronics, quantum computing and highly efficient lasers10–12. Typically, the model describing topological insulators is a spatial lattice in two or three dimensions. However, topological edge states have~also been observed in a lattice with one spatial dimension and one synthetic dimension (corresponding to the spin modes of an ultracold atom13–15), and atomic modes have been used as synthetic dimensions to demonstrate lattice models and physical phenomena that are not accessible to experiments in spatial lattices13,16,17. In photonics, topological lattices with synthetic dimensions have been proposed for the study of physical phenomena in high dimensions and interacting photons18–22, but so far photonic topological insulators in synthetic dimensions have not been observed. Here we demonstrate experimentally a photonic topological insulator in synthetic dimensions. We fabricate a photonic lattice in which photons are subjected to an effective magnetic field in a space with one spatial dimension and one synthetic modal dimension. Our scheme supports topological edge states in this spatial-modal lattice, resulting in a robust topological state that extends over the bulk of a two-dimensional real-space lattice. Our system can be used to increase the dimensionality of a photonic lattice and induce long-range coupling by design, leading to lattice models that can be used to study unexplored physical phenomena.},
  issue = {7748},
  langid = {english},
  keywords = {Optical physics,Photonic crystals},
  file = {/home/hiro/Zotero/storage/HCBPS6FK/Lustig et al. - 2019 - Photonic topological insulator in synthetic dimens.pdf;/home/hiro/Zotero/storage/Q7NECFTK/10.1038@s41586-019-0943-7.pdf.pdf}
}

@article{MacQuarrie2020,
  title = {Progress toward a Capacitively Mediated {{CNOT}} between Two Charge Qubits in {{Si}}/{{SiGe}} - Npj {{Quantum Information}}},
  author = {MacQuarrie, E. R. and Neyens, Samuel F. and Dodson, J. P. and Corrigan, J. and Thorgrimsson, Brandur and Holman, Nathan and Palma, M. and Edge, L. F. and Friesen, Mark and Coppersmith, S. N. and Eriksson, M. A.},
  date = {2020-09},
  journaltitle = {npj Quantum Inf.},
  volume = {6},
  number = {81},
  pages = {1--7},
  publisher = {{Nature Publishing Group}},
  issn = {2056-6387},
  doi = {10.1038/s41534-020-00314-w},
  file = {/home/hiro/Zotero/storage/8WPBZG5G/MacQuarrie et al. - 2020 - Progress toward a capacitively mediated CNOT betwe.pdf}
}

@article{Maffei2018,
  title = {Topological Characterization of Chiral Models through Their Long Time Dynamics},
  author = {Maffei, Maria and Dauphin, Alexandre and Cardano, Filippo and Lewenstein, Maciej and Massignan, Pietro},
  date = {2018-01},
  journaltitle = {New Journal of Physics},
  shortjournal = {New J. Phys.},
  volume = {20},
  number = {1},
  pages = {013023},
  publisher = {{IOP Publishing}},
  issn = {1367-2630},
  doi = {10.1088/1367-2630/aa9d4c},
  url = {https://dx.doi.org/10.1088/1367-2630/aa9d4c},
  urldate = {2023-04-13},
  abstract = {We study chiral models in one spatial dimension, both static and periodically driven. We demonstrate that their topological properties may be read out through the long time limit of a bulk observable, the mean chiral displacement. The derivation of this result is done in terms of spectral projectors, allowing for a detailed understanding of the physics. We show that the proposed detection converges rapidly and it can be implemented in a wide class of chiral systems. Furthermore, it can measure arbitrary winding numbers and topological boundaries, it applies to all non-interacting systems, independently of their quantum statistics, and it requires no additional elements, such as external fields, nor filled bands.},
  langid = {english},
  file = {/home/hiro/Zotero/storage/K3PB5IVM/Maffei et al. - 2018 - Topological characterization of chiral models thro.pdf}
}

@article{Magazzifmmodegraveuelseufi2018,
  title = {Probing the Strongly Driven Spin-Boson Model in a Superconducting Quantum Circuit},
  author = {Magazzıfmmode\textbackslash graveu\textbackslash elseù\textbackslash fi, L. and Forn-Dıfmmode\textbackslash acuteımath\textbackslash elseí\textbackslash fiaz, P. and Belyansky, R. and Orgiazzi, J.-L. and Yurtalan, M. A. and Otto, M. R. and Lupascu, A. and Wilson, C. M. and Grifoni, M.},
  date = {2018-04},
  journaltitle = {Nat. Commun.},
  volume = {9},
  number = {1403},
  pages = {1--8},
  publisher = {{Nature Publishing Group}},
  issn = {2041-1723},
  doi = {10.1038/s41467-018-03626-w},
  file = {/home/hiro/Zotero/storage/L2Z8RXE8/Magazzıfmmodegraveuelseùfi et al. - 2018 - Probing the strongly driven spin-boson model in a .pdf}
}

@article{Makri1999,
  title = {The {{Linear Response Approximation}} and {{Its Lowest Order Corrections}}:\textbackslash hspace0.167em {{An Influence Functional Approach}}},
  author = {Makri, Nancy},
  date = {1999-04},
  journaltitle = {J. Phys. Chem. B},
  volume = {103},
  number = {15},
  pages = {2823--2829},
  publisher = {{American Chemical Society}},
  issn = {1520-6106},
  doi = {10.1021/jp9847540}
}

@article{Martin2017,
  title = {Topological {{Frequency Conversion}} in {{Strongly Driven Quantum Systems}}},
  author = {Martin, Ivar and Refael, Gil and Halperin, Bertrand},
  date = {2017-10-16},
  journaltitle = {Physical Review X},
  shortjournal = {Phys. Rev. X},
  volume = {7},
  number = {4},
  pages = {041008},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevX.7.041008},
  url = {https://link.aps.org/doi/10.1103/PhysRevX.7.041008},
  urldate = {2023-01-11},
  abstract = {When a physical system is subjected to a strong external multifrequency drive, its dynamics can be conveniently represented in the multidimensional Floquet lattice. The number of Floquet lattice dimensions equals the number of irrationally-related drive frequencies, and the evolution occurs in response to a built-in effective “electric” field, whose components are proportional to the corresponding drive frequencies. The mapping allows us to engineer and study temporal analogs of many real-space phenomena. Here, we focus on the specific example of a two-level system under a two-frequency drive that induces topologically nontrivial band structure in the 2D Floquet space. The observable consequence of such a construction is the quantized pumping of energy between the sources with frequencies ω1 and ω2. When the system is initialized into a Floquet band with the Chern number C, the pumping occurs at a rate P12=−P21=(C/2π)ℏω1ω2, an exact counterpart of the transverse current in a conventional topological insulator.},
  file = {/home/hiro/Zotero/storage/FWVW3CZZ/Martin et al. - 2017 - Topological Frequency Conversion in Strongly Drive.pdf;/home/hiro/Zotero/storage/H9837E8P/martin2017.pdf.pdf;/home/hiro/Zotero/storage/KT7XNXIM/martin2017.pdf.pdf;/home/hiro/Zotero/storage/AB9DBJZJ/PhysRevX.7.html}
}

@article{Mezzacapo2014,
  title = {Many-{{Body Interactions}} with {{Tunable-Coupling Transmon Qubits}}},
  author = {Mezzacapo, A. and Lamata, L. and Filipp, S. and Solano, E.},
  date = {2014-07},
  journaltitle = {Phys. Rev. Lett.},
  volume = {113},
  number = {5},
  pages = {050501},
  publisher = {{American Physical Society}},
  issn = {1079-7114},
  doi = {10.1103/PhysRevLett.113.050501},
  file = {/home/hiro/Zotero/storage/U37VESL3/Mezzacapo et al. - 2014 - Many-Body Interactions with Tunable-Coupling Trans.pdf}
}

@article{Micadei2019,
  title = {Reversing the Direction of Heat Flow Using Quantum Correlations - {{Nature Communications}}},
  author = {Micadei, Kaonan and Peterson, John P. S. and Souza, Alexandre M. and Sarthour, Roberto S. and Oliveira, Ivan S. and Landi, Gabriel T. and Batalhıfmmode\textbackslash tildea\textbackslash elseã\textbackslash fio, Tiago B. and Serra, Roberto M. and Lutz, Eric},
  date = {2019-06},
  journaltitle = {Nat. Commun.},
  volume = {10},
  number = {2456},
  pages = {1--6},
  publisher = {{Nature Publishing Group}},
  issn = {2041-1723},
  doi = {10.1038/s41467-019-10333-7},
  file = {/home/hiro/Zotero/storage/52WNYMAH/Micadei et al. - 2019 - Reversing the direction of heat flow using quantum.pdf}
}

@article{Motz2017,
  title = {Currents and Fluctuations of Quantum Heat Transport in Harmonic Chains},
  author = {Motz, T. and Ankerhold, J. and Stockburger, J. T.},
  date = {2017-05},
  journaltitle = {New J. Phys.},
  volume = {19},
  number = {5},
  pages = {053013},
  publisher = {{IOP Publishing}},
  issn = {1367-2630},
  doi = {10.1088/1367-2630/aa68bd},
  file = {/home/hiro/Zotero/storage/TVGJ326H/Motz et al. - 2017 - Currents and fluctuations of quantum heat transpor.pdf}
}

@article{Motz2018,
  title = {Rectification of Heat Currents across Nonlinear Quantum Chains: A Versatile Approach beyond Weak Thermal Contact},
  author = {Motz, T. and Wiedmann, M. and Stockburger, J. T. and Ankerhold, J.},
  date = {2018-11},
  journaltitle = {New J. Phys.},
  volume = {20},
  number = {11},
  pages = {113020},
  publisher = {{IOP Publishing}},
  issn = {1367-2630},
  doi = {10.1088/1367-2630/aaea90},
  file = {/home/hiro/Zotero/storage/RK6U3L4N/Motz et al. - 2018 - Rectification of heat currents across nonlinear qu.pdf}
}

@article{Mu2017,
  title = {Qubit Absorption Refrigerator at Strong Coupling},
  author = {Mu, Anqi and Agarwalla, Bijay Kumar and Schaller, Gernot and Segal, Dvira},
  date = {2017-12},
  journaltitle = {New J. Phys.},
  volume = {19},
  number = {12},
  pages = {123034},
  publisher = {{IOP Publishing}},
  issn = {1367-2630},
  doi = {10.1088/1367-2630/aa9b75},
  file = {/home/hiro/Zotero/storage/3NKBH22F/Mu et al. - 2017 - Qubit absorption refrigerator at strong coupling.pdf;/home/hiro/Zotero/storage/XNF5Q5LT/mu2017.pdf.pdf}
}

@article{Mukherjee2020,
  title = {Anti-{{Zeno}} Quantum Advantage in Fast-Driven Heat Machines},
  author = {Mukherjee, Victor and Kofman, Abraham G. and Kurizki, Gershon},
  date = {2020-01},
  journaltitle = {Commun. Phys.},
  volume = {3},
  number = {8},
  pages = {1--12},
  publisher = {{Nature Publishing Group}},
  issn = {2399-3650},
  doi = {10.1038/s42005-019-0272-z},
  file = {/home/hiro/Zotero/storage/G7FBBINK/mukherjee2020.pdf.pdf;/home/hiro/Zotero/storage/WSRZGW4A/Mukherjee et al. - 2020 - Anti-Zeno quantum advantage in fast-driven heat ma.pdf}
}

@book{Nolting2013,
  title = {Grundkurs Theoretische Physik 5/1: Quantenmechanik - Grundlagen},
  shorttitle = {Grundkurs Theoretische Physik 5/1},
  author = {Nolting, Wolfgang},
  date = {2013},
  series = {Springer-Lehrbuch},
  publisher = {{Springer Berlin Heidelberg}},
  location = {{Berlin, Heidelberg}},
  doi = {10.1007/978-3-642-25403-1},
  url = {https://link.springer.com/10.1007/978-3-642-25403-1},
  urldate = {2023-02-15},
  isbn = {978-3-642-25402-4 978-3-642-25403-1},
  langid = {ngerman},
  file = {/home/hiro/Zotero/storage/IMPVT6SW/Nolting - 2013 - Grundkurs Theoretische Physik 51 Quantenmechanik.pdf}
}

@book{Nolting2015,
  title = {Grundkurs Theoretische Physik 5/2: Quantenmechanik - Methoden und Anwendungen},
  shorttitle = {Grundkurs Theoretische Physik 5/2},
  author = {Nolting, Wolfgang},
  date = {2015},
  series = {Springer-Lehrbuch},
  publisher = {{Springer Berlin Heidelberg}},
  location = {{Berlin, Heidelberg}},
  doi = {10.1007/978-3-662-44230-2},
  url = {https://link.springer.com/10.1007/978-3-662-44230-2},
  urldate = {2023-02-15},
  isbn = {978-3-662-44229-6 978-3-662-44230-2},
  langid = {ngerman},
  file = {/home/hiro/Zotero/storage/H2DWXRPH/Nolting - 2015 - Grundkurs Theoretische Physik 52 Quantenmechanik.pdf}
}

@book{Olver2010,
  title = {The {{NIST}} Handbook of Mathematical Functions},
  author = {Olver, Frank and Lozier, Daniel and Boisvert, Ronald and Clark, Charles},
  year = {00:05:00 2010},
  publisher = {{Cambridge University Press, New York, NY}},
  langid = {english},
  file = {/home/hiro/Zotero/storage/7CER4GYZ/Olver et al. - 2010 - The NIST handbook of mathematical functions.pdf}
}

@article{Orus2019,
  title = {Tensor Networks for Complex Quantum Systems},
  author = {Orús, Román},
  date = {2019-09},
  journaltitle = {Nature Reviews Physics},
  shortjournal = {Nat Rev Phys},
  volume = {1},
  number = {9},
  pages = {538--550},
  publisher = {{Nature Publishing Group}},
  issn = {2522-5820},
  doi = {10.1038/s42254-019-0086-7},
  url = {https://www.nature.com/articles/s42254-019-0086-7},
  urldate = {2023-03-14},
  abstract = {Originally developed in the context of condensed-matter physics and based on renormalization group ideas, tensor networks have been revived thanks to quantum information theory and the progress in understanding the role of entanglement in quantum many-body systems. Moreover, tensor network states have turned out to play a key role in other scientific disciplines. In this context, here I provide an overview of the basic concepts and key developments in the field. I briefly discuss the most important tensor network structures and algorithms, together with an outline of advances related to global and gauge symmetries, fermions, topological order, classification of phases, entanglement Hamiltonians, holografic duality, artificial intelligence, the 2D Hubbard model, 2D quantum antiferromagnets, conformal field theory, quantum chemistry, disordered systems and many-body localization.},
  issue = {9},
  langid = {english},
  keywords = {Condensed-matter physics,Quantum information,Theoretical physics},
  file = {/home/hiro/Zotero/storage/NYG9W5IH/Orús - 2019 - Tensor networks for complex quantum systems.pdf}
}

@article{Ozawa2018,
  title = {Extracting the Quantum Metric Tensor through Periodic Driving},
  author = {Ozawa, Tomoki and Goldman, Nathan},
  date = {2018-05-31},
  journaltitle = {Physical Review B},
  shortjournal = {Phys. Rev. B},
  volume = {97},
  number = {20},
  pages = {201117},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevB.97.201117},
  url = {https://link.aps.org/doi/10.1103/PhysRevB.97.201117},
  urldate = {2023-03-07},
  abstract = {We propose a generic protocol to experimentally measure the quantum metric tensor, a fundamental geometric property of quantum states. Our method is based on the observation that the excitation rate of a quantum state directly relates to components of the quantum metric upon applying a proper time-periodic modulation. We discuss the applicability of this scheme to generic two-level systems, where the Hamiltonian's parameters can be externally tuned, and also to the context of Bloch bands associated with lattice systems. As an illustration, we extract the quantum metric of the multiband Hofstadter model. Moreover, we demonstrate how this method can be used to directly probe the spread functional, a quantity which sets the lower bound on the spread of Wannier functions and signals phase transitions. Our proposal offers a universal probe for quantum geometry, which could be readily applied in a wide range of physical settings, ranging from superconducting quantum circuits to ultracold atomic gases.},
  file = {/home/hiro/Zotero/storage/WJPTJF5R/Ozawa and Goldman - 2018 - Extracting the quantum metric tensor through perio.pdf;/home/hiro/Zotero/storage/UWA6FU3A/PhysRevB.97.html}
}

@article{Ozawa2019,
  title = {Topological Quantum Matter in Synthetic Dimensions},
  author = {Ozawa, Tomoki and Price, Hannah M.},
  date = {2019-05},
  journaltitle = {Nature Reviews Physics},
  shortjournal = {Nat Rev Phys},
  volume = {1},
  number = {5},
  pages = {349--357},
  publisher = {{Nature Publishing Group}},
  issn = {2522-5820},
  doi = {10.1038/s42254-019-0045-3},
  url = {https://www.nature.com/articles/s42254-019-0045-3},
  urldate = {2023-03-09},
  abstract = {In the field of quantum simulation of condensed matter phenomena by artificially engineering the Hamiltonian of an atomic, molecular or optical system, the concept of synthetic dimensions has recently emerged as a powerful way to emulate phenomena such as topological phases of matter, which are now of great interest across many areas of physics. The main idea of a synthetic dimension is to couple together suitable degrees of freedom, such as a set of internal atomic states, in order to mimic the motion of a particle along an extra spatial dimension. This approach provides a way to engineer lattice Hamiltonians and enables the realization of higher-dimensional topological models in platforms with lower dimensionality. We give an overview of the recent progress in studying topological matter in synthetic dimensions. After reviewing proposals and realizations in various set-ups, we discuss future prospects in many-body physics, applications and topological effects in three or more spatial dimensions.},
  issue = {5},
  langid = {english},
  keywords = {Quantum optics,Topological matter,Ultracold gases},
  file = {/home/hiro/Zotero/storage/J48A2DSY/10.1038@s42254-019-0045-3.pdf.pdf;/home/hiro/Zotero/storage/X3L2HQGK/Ozawa and Price - 2019 - Topological quantum matter in synthetic dimensions.pdf}
}

@incollection{Pan1999,
  title = {The Complexity of the Matrix Eigenproblem},
  booktitle = {{{STOC}} '99: {{Proceedings}} of the Thirty-First Annual {{ACM}} Symposium on {{Theory}} of {{Computing}}},
  author = {Pan, Victor Y. and Chen, Zhao Q.},
  date = {1999-05},
  pages = {507--516},
  publisher = {{Association for Computing Machinery}},
  location = {{New York, NY, USA}},
  doi = {10.1145/301250.301389},
  isbn = {978-158113067}
}

@article{Pikovski2015,
  title = {Universal Decoherence Due to Gravitational Time Dilation},
  author = {Pikovski, Igor and Zych, Magdalena and Costa, Fabio and Brukner, Časlav},
  date = {2015-08},
  journaltitle = {Nature Physics},
  shortjournal = {Nature Phys},
  volume = {11},
  number = {8},
  pages = {668--672},
  publisher = {{Nature Publishing Group}},
  issn = {1745-2481},
  doi = {10.1038/nphys3366},
  url = {https://www.nature.com/articles/nphys3366},
  urldate = {2023-05-17},
  abstract = {The physics of low-energy quantum systems is usually studied without explicit consideration of the background spacetime. Phenomena inherent to quantum theory in curved spacetime, such as Hawking radiation, are typically assumed to be relevant only for extreme physical conditions: at high energies and in strong gravitational fields. Here we consider low-energy quantum mechanics in the presence of gravitational time dilation and show that the latter leads to the decoherence of quantum superpositions. Time dilation induces a universal coupling between the internal degrees of freedom and the centre of mass of a composite particle. The resulting correlations lead to decoherence in the particle position, even without any external environment. We also show that the weak time dilation on Earth is already sufficient to affect micrometre-scale objects. Gravity can therefore account for the emergence of classicality and this effect could in principle be tested in future matter-wave experiments.},
  issue = {8},
  langid = {english},
  keywords = {Macromolecules and clusters,Quantum mechanics,Theoretical physics},
  file = {/home/hiro/Zotero/storage/NL9EM5ZJ/Pikovski et al. - 2015 - Universal decoherence due to gravitational time di.pdf;/home/hiro/Zotero/storage/TE2S9UYN/pikovski2015.pdf.pdf}
}

@book{Press2007,
  title = {Numerical {{Recipes}}},
  author = {Press, William H. and Teukolsky, Saul A. and Vetterling, William T. and Flannery, Brian P.},
  date = {2007-09},
  journaltitle = {Cambridge University Press},
  publisher = {{Cambridge University Press}},
  location = {{Cambridge, England, UK}},
  url = {https://www.cambridge.org/us/academic/subjects/mathematics/numerical-recipes/numerical-recipes-art-scientific-computing-3rd-edition?format=HB},
  isbn = {978-0-521-88068-8}
}

@article{Pusz1978,
  title = {Passive States and {{KMS}} States for General Quantum Systems},
  author = {Pusz, W. and Woronowicz, S. L.},
  date = {1978-10},
  journaltitle = {Commun. Math. Phys.},
  volume = {58},
  number = {3},
  pages = {273--290},
  publisher = {{Springer-Verlag}},
  issn = {1432-0916},
  doi = {10.1007/BF01614224},
  file = {/home/hiro/Zotero/storage/IM7J4VXT/Pusz and Woronowicz - 1978 - Passive states and KMS states for general quantum .pdf}
}

@book{Quigg2013,
  title = {Gauge Theories of the Strong, Weak, and Electromagnetic Interactions},
  author = {Quigg, Chris},
  date = {2013},
  edition = {Second edition},
  publisher = {{Princeton University Press}},
  location = {{Princeton, New Jersey}},
  abstract = {"This completely revised and updated graduate-level textbook is an ideal introduction to gauge theories and their applications to high-energy particle physics, and takes an in-depth look at two new laws of nature--quantum chromodynamics and the electroweak theory. From quantum electrodynamics through unified theories of the interactions among leptons and quarks, Chris Quigg examines the logic and structure behind gauge theories and the experimental underpinnings of today's theories. Quigg emphasizes how we know what we know, and in the era of the Large Hadron Collider, his insightful survey of the standard model and the next great questions for particle physics makes for compelling reading.The brand-new edition shows how the electroweak theory developed in conversation with experiment. Featuring a wide-ranging treatment of electroweak symmetry breaking, the physics of the Higgs boson, and the importance of the 1-TeV scale, the book moves beyond established knowledge and investigates the path toward unified theories of strong, weak, and electromagnetic interactions. Explicit calculations and diverse exercises allow readers to derive the consequences of these theories. Extensive annotated bibliographies accompany each chapter, amplify points of conceptual or technical interest, introduce further applications, and lead readers to the research literature. Students and seasoned practitioners will profit from the text's current insights, and specialists wishing to understand gauge theories will find the book an ideal reference for self-study. Brand-new edition of a landmark text introducing gauge theories Consistent attention to how we know what we know Explicit calculations develop concepts and engage with experiment Interesting and diverse problems sharpen skills and ideas Extensive annotated bibliographies "--},
  isbn = {978-0-691-13548-9},
  langid = {english},
  pagetotal = {482},
  keywords = {Gauge fields (Physics),Nuclear reactions,SCIENCE / Electromagnetism,SCIENCE / Quantum Theory,Strong interactions (Nuclear physics)},
  file = {/home/hiro/Zotero/storage/Y93DCTHK/Quigg - 2013 - Gauge theories of the strong, weak, and electromag.pdf}
}

@article{Raja2021,
  title = {Finite-Time Quantum {{Stirling}} Heat Engine},
  author = {Raja, S. Hamedani and Maniscalco, S. and Paraoanu, G. S. and Pekola, J. P. and Gullo, N. Lo},
  date = {2021-03},
  journaltitle = {New J. Phys.},
  volume = {23},
  number = {3},
  pages = {033034},
  publisher = {{IOP Publishing}},
  issn = {1367-2630},
  doi = {10.1088/1367-2630/abe9d7},
  file = {/home/hiro/Zotero/storage/AMXVY269/Raja et al. - 2021 - Finite-time quantum Stirling heat engine.pdf}
}

@article{Reyes-Lega2016,
  title = {Some {{Aspects}} of {{Operator Algebras}} in {{Quantum Physics}}},
  author = {Reyes-Lega, A. F.},
  date = {2016-12},
  journaltitle = {arXiv},
  doi = {10.1142/9789814730884_0001},
  file = {/home/hiro/Zotero/storage/KVFWJ5SI/Reyes-Lega - 2016 - Some Aspects of Operator Algebras in Quantum Physi.pdf}
}

@article{Ricottone2020,
  title = {Topological Transition of a Non-{{Markovian}} Dissipative Quantum Walk},
  author = {Ricottone, A. and Rudner, M. S. and Coish, W. A.},
  date = {2020-07-14},
  journaltitle = {Physical Review A},
  shortjournal = {Phys. Rev. A},
  volume = {102},
  number = {1},
  pages = {012215},
  issn = {2469-9926, 2469-9934},
  doi = {10.1103/PhysRevA.102.012215},
  url = {https://link.aps.org/doi/10.1103/PhysRevA.102.012215},
  urldate = {2022-11-07},
  langid = {english},
  file = {/home/hiro/Zotero/storage/8D4JMJWF/10.1103@PhysRevA.102.012215.pdf.pdf;/home/hiro/Zotero/storage/XB3LB62C/Ricottone et al. - 2020 - Topological transition of a non-Markovian dissipat.pdf}
}

@article{Riechers2021,
  title = {Initial-State Dependence of Thermodynamic Dissipation for Any Quantum Process},
  author = {Riechers, Paul M. and Gu, Mile},
  date = {2021-04},
  journaltitle = {Phys. Rev. E},
  volume = {103},
  number = {4},
  pages = {042145},
  publisher = {{American Physical Society}},
  issn = {2470-0053},
  doi = {10.1103/PhysRevE.103.042145},
  file = {/home/hiro/Zotero/storage/B4BCYS5U/Riechers and Gu - 2021 - Initial-state dependence of thermodynamic dissipat.pdf}
}

@book{Rivas2012,
  title = {Open {{Quantum Systems}}},
  author = {Rivas, ´Angel and Huelga, Susana F.},
  date = {2012},
  series = {{{SpringerBriefs}} in {{Physics}}},
  publisher = {{Springer}},
  location = {{Berlin, Heidelberg}},
  doi = {10.1007/978-3-642-23354-8},
  url = {http://link.springer.com/10.1007/978-3-642-23354-8},
  urldate = {2023-01-02},
  isbn = {978-3-642-23353-1 978-3-642-23354-8},
  keywords = {Decoherence,Irreversibility,Quantum Dissipation,Quantum Information and Computation,Quantum Noise,Quantum Optics},
  file = {/home/hiro/Zotero/storage/5NIEJMAG/Rivas and Huelga - 2012 - Open Quantum Systems.pdf}
}

@article{Rivas2019,
  title = {Strong {{Coupling Thermodynamics}} of {{Open Quantum Systems}}},
  author = {Rivas, ıfmmode\textbackslash acuteA\textbackslash elseÁ\textbackslash fingel},
  date = {2019-10},
  journaltitle = {arXiv},
  doi = {10.1103/PhysRevLett.124.160601},
  file = {/home/hiro/Zotero/storage/S3HV5SWN/Rivas - 2019 - Strong Coupling Thermodynamics of Open Quantum Sys.pdf}
}

@book{Roberts2022,
  title = {The {{Principles}} of {{Deep Learning Theory}}: {{An Effective Theory Approach}} to {{Understanding Neural Networks}}},
  shorttitle = {The {{Principles}} of {{Deep Learning Theory}}},
  author = {Roberts, Daniel A. and Yaida, Sho and Hanin, Boris},
  date = {2022-05-26},
  edition = {1},
  publisher = {{Cambridge University Press}},
  doi = {10.1017/9781009023405},
  url = {https://www.cambridge.org/core/product/identifier/9781009023405/type/book},
  urldate = {2023-02-27},
  abstract = {This textbook establishes a theoretical framework for understanding deep learning models of practical relevance. With an approach that borrows from theoretical physics, Roberts and Yaida provide clear and pedagogical explanations of how realistic deep neural networks actually work. To make results from the theoretical forefront accessible, the authors eschew the subject's traditional emphasis on intimidating formality without sacrificing accuracy. Straightforward and approachable, this volume balances detailed first-principle derivations of novel results with insight and intuition for theorists and practitioners alike. This self-contained textbook is ideal for students and researchers interested in artificial intelligence with minimal prerequisites of linear algebra, calculus, and informal probability theory, and it can easily fill a semester-long course on deep learning theory. For the first time, the exciting practical advances in modern artificial intelligence capabilities can be matched with a set of effective principles, providing a timeless blueprint for theoretical research in deep learning.},
  isbn = {978-1-00-902340-5 978-1-316-51933-2},
  langid = {english},
  file = {/home/hiro/Zotero/storage/PPIKNWJL/Roberts et al. - 2022 - The Principles of Deep Learning Theory An Effecti.pdf}
}

@article{Roushan2014,
  title = {Observation of Topological Transitions in Interacting Quantum Circuits},
  author = {Roushan, P. and Neill, C. and Chen, Yu and Kolodrubetz, M. and Quintana, C. and Leung, N. and Fang, M. and Barends, R. and Campbell, B. and Chen, Z. and Chiaro, B. and Dunsworth, A. and Jeffrey, E. and Kelly, J. and Megrant, A. and Mutus, J. and O’Malley, P. J. J. and Sank, D. and Vainsencher, A. and Wenner, J. and White, T. and Polkovnikov, A. and Cleland, A. N. and Martinis, J. M.},
  date = {2014-11},
  journaltitle = {Nature},
  volume = {515},
  number = {7526},
  pages = {241--244},
  publisher = {{Nature Publishing Group}},
  issn = {1476-4687},
  doi = {10.1038/nature13891},
  url = {https://www.nature.com/articles/nature13891},
  urldate = {2023-03-10},
  abstract = {Superconducting quantum circuits are used to directly observe and characterize topological phase transitions; this approach promises to be a powerful and general platform for characterizing topological phenomena in quantum systems.},
  issue = {7526},
  langid = {english},
  keywords = {Quantum mechanics,Qubits,Topological matter},
  file = {/home/hiro/Zotero/storage/B5PT3MTB/Roushan et al. - 2014 - Observation of topological transitions in interact.pdf}
}

@article{Rudner2009,
  title = {Topological {{Transition}} in a {{Non-Hermitian Quantum Walk}}},
  author = {Rudner, M. S. and Levitov, L. S.},
  date = {2009-02-12},
  journaltitle = {Physical Review Letters},
  shortjournal = {Phys. Rev. Lett.},
  volume = {102},
  number = {6},
  pages = {065703},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevLett.102.065703},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.102.065703},
  urldate = {2023-05-17},
  abstract = {We analyze a quantum walk on a bipartite one-dimensional lattice, in which the particle can decay whenever it visits one of the two sublattices. The corresponding non-Hermitian tight-binding problem with a complex potential for the decaying sites exhibits two different phases, distinguished by a winding number defined in terms of the Bloch eigenstates in the Brillouin zone. We find that the mean displacement of a particle initially localized on one of the nondecaying sites can be expressed in terms of the winding number, and is therefore quantized as an integer, changing from zero to one at the critical point. We show that the topological transition is relevant for a variety of experimental settings. The quantized behavior can be used to distinguish coherent from incoherent dynamics.},
  file = {/home/hiro/Zotero/storage/RJIHJUNW/Rudner and Levitov - 2009 - Topological Transition in a Non-Hermitian Quantum .pdf;/home/hiro/Zotero/storage/VF7HBQ9S/rudner2009.pdf.pdf;/home/hiro/Zotero/storage/ZV5HHHXQ/PhysRevLett.102.html}
}

@book{Sachdev2023,
  title = {Quantum Phases of Matter},
  author = {Sachdev, Subir},
  date = {2023},
  publisher = {{Cambridge University Press}},
  location = {{Cambridge, United Kingdom ; New York, NY}},
  abstract = {"This modern text describes the remarkable developments in quantum condensed matter physics following the experimental discoveries of quantum Hall effects and high temperature superconductivity in the 1980s. After a review of the phases of matter amenable to an independent particle description, entangled phases of matter are described in an accessible and unified manner. The concepts of fractionalization and emergent gauge fields are introduced using the simplest resonating valence bond insulator with an energy gap, the Z2 spin liquid. Concepts in band topology and the parton method are then combined to obtain a large variety of experimentally relevant gapped states. Correlated metallic states are described, beginning with a discussion of the Kondo effect on magnetic impurities in metals. Metals without quasiparticle excitations are introduced using the Sachdev-Ye-Kitaev model, followed by a discussion of critical Fermi surfaces and strange metals. Numerous end-of-chapter problems expand readers' comprehension and reinforce key concepts"--},
  isbn = {978-1-00-921269-4},
  keywords = {Condensed matter,Textbooks}
}

@article{Salerno2019,
  title = {Quantized {{Hall Conductance}} of a {{Single Atomic Wire}}: {{A Proposal Based}} on {{Synthetic Dimensions}}},
  shorttitle = {Quantized {{Hall Conductance}} of a {{Single Atomic Wire}}},
  author = {Salerno, G. and Price, H. M. and Lebrat, M. and Häusler, S. and Esslinger, T. and Corman, L. and Brantut, J.-P. and Goldman, N.},
  date = {2019-10-01},
  journaltitle = {Physical Review X},
  shortjournal = {Phys. Rev. X},
  volume = {9},
  number = {4},
  pages = {041001},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevX.9.041001},
  url = {https://link.aps.org/doi/10.1103/PhysRevX.9.041001},
  urldate = {2023-03-14},
  abstract = {We propose a method by which the quantization of the Hall conductance can be directly measured in the transport of a one-dimensional atomic gas. Our approach builds on two main ingredients: (1) a constriction optical potential, which generates a mesoscopic channel connected to two reservoirs, and (2) a time-periodic modulation of the channel specifically designed to generate motion along an additional synthetic dimension. This fictitious dimension is spanned by the harmonic oscillator modes associated with the tightly confined channel, and hence, the corresponding “lattice sites” are intimately related to the energy of the system. We analyze the quantum-transport properties of this hybrid two-dimensional system, highlighting the appealing features offered by the synthetic dimension. In particular, we demonstrate how the energetic nature of the synthetic dimension combined with the quasienergy spectrum of the periodically driven channel allows for the direct and unambiguous observation of the quantized Hall effect in a two-reservoir geometry. Our work illustrates how topological properties of matter can be accessed in a minimal one-dimensional setup, with direct and practical experimental consequences.},
  file = {/home/hiro/Zotero/storage/BFAIIUPB/Salerno et al. - 2019 - Quantized Hall Conductance of a Single Atomic Wire.pdf;/home/hiro/Zotero/storage/97YTTFRM/PhysRevX.9.html}
}

@misc{Santoro2022,
  title = {Introduction to {{Floquet}}},
  author = {Santoro, Giuseppe E.},
  date = {2022},
  file = {/home/hiro/Zotero/storage/LPGDGCF6/Santoro.pdf}
}

@article{Santos2021,
  title = {Maximally Efficient Quantum Thermal Machines Fueled by Nonequilibrium Steady States},
  author = {Santos, Tiago F. F. and Tacchino, Francesco and Gerace, Dario and Campisi, Michele and Santos, Marcelo F.},
  date = {2021-06},
  journaltitle = {Phys. Rev. A},
  volume = {103},
  number = {6},
  pages = {062225},
  publisher = {{American Physical Society}},
  issn = {2469-9934},
  doi = {10.1103/PhysRevA.103.062225},
  file = {/home/hiro/Zotero/storage/2WRMP3BL/Santos et al. - 2021 - Maximally efficient quantum thermal machines fuele.pdf}
}

@book{Schlosshauer-Selbach2007,
  title = {Decoherence and the Quantum-to-Classical Transition},
  author = {Schlosshauer-Selbach, Maximilian},
  date = {2007},
  series = {Frontiers Collection},
  publisher = {{Springer}},
  location = {{Berlin London}},
  isbn = {978-3-540-35775-9},
  langid = {english},
  file = {/home/hiro/Zotero/storage/H2FSA9VZ/Schlosshauer-Selbach - 2007 - Decoherence and the quantum-to-classical transitio.pdf}
}

@book{Schlosshauer2007,
  title = {Decoherence and the {{Quantum-To-Classical Transition}}},
  author = {Schlosshauer, Maximilian},
  date = {2007},
  publisher = {{Springer}},
  location = {{Berlin, Germany}},
  issn = {1612-3018},
  doi = {10.1007/978-3-540-35775-9},
  file = {/home/hiro/Zotero/storage/WN7KMXKI/Schlosshauer - 2007 - Decoherence and the Quantum-To-Classical Transitio.pdf}
}

@book{Schlosshauer2007a,
  title = {Decoherence and the {{Quantum-To-Classical Transition}}},
  author = {Schlosshauer, Maximilian A.},
  date = {2007-07-30},
  edition = {1st ed. 2007. Corr. 2nd printing 2008 edition},
  publisher = {{Springer}},
  location = {{Berlin ; London}},
  abstract = {This detailed, accessible introduction to the field of quantum decoherence reviews the basics and then explains the essential consequences of the phenomenon for our understanding of the world. The discussion includes, among other things: How the classical world of our experience can emerge from quantum mechanics; the implications of decoherence for various interpretations of quantum mechanics; recent experiments confirming the puzzling consequences of the quantum superposition principle and making decoherence processes directly observable.},
  isbn = {978-3-540-35773-5},
  langid = {english},
  pagetotal = {433},
  file = {/home/hiro/Zotero/storage/8XF46A3F/Schlosshauer - 2007 - Decoherence and the Quantum-To-Classical Transitio.pdf}
}

@book{Schlosshauer2011,
  title = {Elegance and {{Enigma}}: {{The Quantum Interviews}}},
  shorttitle = {Elegance and {{Enigma}}},
  author = {Schlosshauer, Maximilian},
  date = {2011-08-02},
  eprint = {YV1CIauzQ6YC},
  eprinttype = {googlebooks},
  publisher = {{Springer Science \& Business Media}},
  abstract = {Quantum mechanics is one of mankind's most remarkable intellectual achievements. Stunningly successful and elegant, it challenges our deepest intuitions about the world. In this book, seventeen physicists and philosophers, all deeply concerned with understanding quantum mechanics, reply to Schlosshauer's penetrating questions about the central issues. They grant us an intimate look at their radically different ways of making sense of the theory's strangeness. What is quantum mechanics about? What is it telling us about nature? Can quantum information or new experiments help lift the fog? And where are we headed next? Everyone interested in the contemporary but often longstanding conundrums of quantum theory, whether lay reader or expert, will find much food for thought in these pages. A wealth of personal reflections and anecdotes guarantee an engaging read. Participants: Guido Bacciagaluppi, Caslav Brukner, Jeffrey Bub, Arthur Fine, Christopher Fuchs, GianCarlo Ghirardi, Shelly Goldstein, Daniel Greenberger, Lucien Hardy, Anthony Leggett, Tim Maudlin, David Mermin, Lee Smolin, Antony Valentini, David Wallace, Anton Zeilinger, and Wojciech Zurek.},
  isbn = {978-3-642-20880-5},
  langid = {english},
  pagetotal = {315},
  keywords = {Science / General,Science / History,Science / Life Sciences / General,Science / Philosophy \& Social Aspects,Science / Physics / General,Science / Physics / Optics \& Light,Science / Physics / Quantum Theory},
  file = {/home/hiro/Zotero/storage/EC6BTMBV/Schlosshauer - 2011 - Elegance and Enigma The Quantum Interviews.pdf}
}

@article{Scopa2018,
  title = {Lindblad-{{Floquet}} Description of Finite-Time Quantum Heat Engines},
  author = {Scopa, Stefano and Landi, Gabriel T. and Karevski, Dragi},
  date = {2018-06},
  journaltitle = {Phys. Rev. A},
  volume = {97},
  number = {6},
  pages = {062121},
  publisher = {{American Physical Society}},
  issn = {2469-9934},
  doi = {10.1103/PhysRevA.97.062121},
  file = {/home/hiro/Zotero/storage/M4VQMHHB/Scopa et al. - 2018 - Lindblad-Floquet description of finite-time quantu.pdf}
}

@article{Seifert2016,
  title = {First and {{Second Law}} of {{Thermodynamics}} at {{Strong Coupling}}},
  author = {Seifert, Udo},
  date = {2016-01},
  journaltitle = {Phys. Rev. Lett.},
  volume = {116},
  number = {2},
  pages = {020601},
  publisher = {{American Physical Society}},
  issn = {1079-7114},
  doi = {10.1103/PhysRevLett.116.020601},
  file = {/home/hiro/Zotero/storage/HNTGIV2T/Seifert - 2016 - First and Second Law of Thermodynamics at Strong C.pdf}
}

@article{Semenoff1983,
  title = {Functional Methods in Thermofield Dynamics: {{A}} Real-Time Perturbation Theory for Quantum Statistical Mechanics},
  author = {Semenoff, G. W. and Umezawa, H.},
  date = {1983-06},
  journaltitle = {Nucl. Phys. B},
  volume = {220},
  number = {2},
  pages = {196--212},
  publisher = {{North-Holland}},
  issn = {0550-3213},
  doi = {10.1016/0550-3213(83)90223-7},
  file = {/home/hiro/Zotero/storage/QZ9A39N6/Semenoff and Umezawa - 1983 - Functional methods in thermofield dynamics A real.pdf}
}

@article{Senior2020,
  title = {Heat Rectification via a Superconducting Artificial Atom - {{Communications Physics}}},
  author = {Senior, Jorden and Gubaydullin, Azat and Karimi, Bayan and Peltonen, Joonas T. and Ankerhold, Joachim and Pekola, Jukka P.},
  date = {2020-02},
  journaltitle = {Commun. Phys.},
  volume = {3},
  number = {40},
  pages = {1--5},
  publisher = {{Nature Publishing Group}},
  issn = {2399-3650},
  doi = {10.1038/s42005-020-0307-5},
  file = {/home/hiro/Zotero/storage/M2WANTS8/Senior et al. - 2020 - Heat rectification via a superconducting artificia.pdf}
}

@article{Shi2009,
  title = {Efficient Hierarchical {{Liouville}} Space Propagator to Quantum Dissipative Dynamics},
  author = {Shi, Qiang and Chen, Liping and Nan, Guangjun and Xu, Rui-Xue and Yan, YiJing},
  date = {2009-02},
  journaltitle = {J. Chem. Phys.},
  volume = {130},
  number = {8},
  pages = {084105},
  publisher = {{American Institute of Physics}},
  issn = {0021-9606},
  doi = {10.1063/1.3077918},
  file = {/home/hiro/Zotero/storage/PKND9XCE/Shi et al. - 2009 - Efficient hierarchical Liouville space propagator .pdf}
}

@article{Shillito2021,
  title = {Fast and Differentiable Simulation of Driven Quantum Systems},
  author = {Shillito, Ross and Gross, Jonathan A. and Di Paolo, Agustin and Genois, Élie and Blais, Alexandre},
  date = {2021-09-20},
  journaltitle = {Physical Review Research},
  shortjournal = {Phys. Rev. Research},
  volume = {3},
  number = {3},
  pages = {033266},
  issn = {2643-1564},
  doi = {10.1103/PhysRevResearch.3.033266},
  url = {https://link.aps.org/doi/10.1103/PhysRevResearch.3.033266},
  urldate = {2023-01-18},
  langid = {english},
  file = {/home/hiro/Zotero/storage/MQ88WW46/Shillito et al. - 2021 - Fast and differentiable simulation of driven quant.pdf}
}

@article{Skrzypczyk2014,
  title = {Work Extraction and Thermodynamics for Individual Quantum Systems},
  author = {Skrzypczyk, Paul and Short, Anthony J. and Popescu, Sandu},
  date = {2014-06},
  journaltitle = {Nat. Commun.},
  volume = {5},
  number = {4185},
  pages = {1--8},
  publisher = {{Nature Publishing Group}},
  issn = {2041-1723},
  doi = {10.1038/ncomms5185},
  file = {/home/hiro/Zotero/storage/PPBWIRNC/Skrzypczyk et al. - 2014 - Work extraction and thermodynamics for individual .pdf}
}

@article{Snyder1972,
  title = {Coupled-{{Mode Theory}} for {{Optical Fibers}}},
  author = {Snyder, Allan W.},
  date = {1972-11-01},
  journaltitle = {JOSA},
  shortjournal = {J. Opt. Soc. Am., JOSA},
  volume = {62},
  number = {11},
  pages = {1267--1277},
  publisher = {{Optica Publishing Group}},
  doi = {10.1364/JOSA.62.001267},
  url = {https://opg.optica.org/josa/abstract.cfm?uri=josa-62-11-1267},
  urldate = {2023-03-03},
  abstract = {A set of coupled-mode equations is derived to describe mode propagation in uniform and slightly nonuniform cylindrical optical-fiber systems. The coupling between fibers of an array made up of n identical fibers each at the vertex of a polygon and one at the center, which is not necessarily the same as its n neighbors, is determined. Examples of this array are two fibers, three fibers in a row, and a hexagonal array with a fiber in the center. Very simple expressions for the coupling coefficients are presented. Mode coupling on a lossy fiber is investigated and a simple expression for the loss of a HE11 mode is given.},
  langid = {english},
  keywords = {Coupled mode theory,Fourier transforms,Optical devices,Optical fibers,Refractive index,Tapered fibers},
  file = {/home/hiro/Zotero/storage/VHXP4BI8/Snyder - 1972 - Coupled-Mode Theory for Optical Fibers.pdf}
}

@article{Sorokin2016,
  title = {Semiclassical Bifurcations and Topological Phase Transitions in a One-Dimensional Lattice of Coupled {{Lipkin-Meshkov-Glick}} Models},
  author = {Sorokin, A. V. and Aparicio Alcalde, M. and Bastidas, V. M. and Engelhardt, G. and Angelakis, D. G. and Brandes, T.},
  date = {2016-09-21},
  journaltitle = {Physical Review E},
  shortjournal = {Phys. Rev. E},
  volume = {94},
  number = {3},
  pages = {032123},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevE.94.032123},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.94.032123},
  urldate = {2023-03-07},
  abstract = {In this work we study a one-dimensional lattice of Lipkin-Meshkov-Glick models with alternating couplings between nearest-neighbors sites, which resembles the Su-Schrieffer-Heeger model. Typical properties of the underlying models are present in our semiclassical-topological hybrid system, allowing us to investigate an interplay between semiclassical bifurcations at mean-field level and topological phases. Our results show that bifurcations of the energy landscape lead to diverse ordered quantum phases. Furthermore, the study of the quantum fluctuations around the mean-field solution reveals the existence of nontrivial topological phases. These are characterized by the emergence of localized states at the edges of a chain with free open-boundary conditions.},
  file = {/home/hiro/Zotero/storage/KKR9DB68/Sorokin et al. - 2016 - Semiclassical bifurcations and topological phase t.pdf;/home/hiro/Zotero/storage/GPVP9HE3/PhysRevE.94.html}
}

@article{Stevens2021,
  title = {Energetics of a {{Single Qubit Gate}}},
  author = {Stevens, Jeremy and Szombati, Daniel and Maffei, Maria and Elouard, Cyril and Assouly, Rıfmmode\textbackslash acutee\textbackslash elseé\textbackslash fiouven and Cottet, Nathanaıfmmode\textbackslash ddote\textbackslash elseë\textbackslash fil and Dassonneville, Rıfmmode\textbackslash acutee\textbackslash elseé\textbackslash fimy and Ficheux, Quentin and Zeppetzauer, Stefan and Bienfait, Audrey and Jordan, Andrew N. and Auffıfmmode\textbackslash gravee\textbackslash elseè\textbackslash fives, Alexia and Huard, Benjamin},
  date = {2021-09},
  journaltitle = {arXiv},
  url = {https://arxiv.org/abs/2109.09648v1},
  file = {/home/hiro/Zotero/storage/LEUZWFJN/Stevens et al. - 2021 - Energetics of a Single Qubit Gate.pdf}
}

@article{Strasberg2016,
  title = {Nonequilibrium Thermodynamics in the Strong Coupling and Non-{{Markovian}} Regime Based on a Reaction Coordinate Mapping},
  author = {Strasberg, Philipp and Schaller, Gernot and Lambert, Neill and Brandes, Tobias},
  date = {2016-07},
  journaltitle = {New J. Phys.},
  volume = {18},
  number = {7},
  pages = {073007},
  publisher = {{IOP Publishing}},
  issn = {1367-2630},
  doi = {10.1088/1367-2630/18/7/073007},
  file = {/home/hiro/Zotero/storage/N5E95FFN/Strasberg et al. - 2016 - Nonequilibrium thermodynamics in the strong coupli.pdf}
}

@article{Strasberg2021,
  title = {First and {{Second Law}} of {{Quantum Thermodynamics}}: {{A Consistent Derivation Based}} on a {{Microscopic Definition}} of {{Entropy}}},
  author = {Strasberg, Philipp and Winter, Andreas},
  date = {2021-08},
  journaltitle = {PRX Quantum},
  volume = {2},
  number = {3},
  pages = {030202},
  publisher = {{American Physical Society}},
  issn = {2691-3399},
  doi = {10.1103/PRXQuantum.2.030202},
  file = {/home/hiro/Zotero/storage/SHLYMML9/Strasberg and Winter - 2021 - First and Second Law of Quantum Thermodynamics A .pdf}
}

@article{Strathearn2018,
  title = {Efficient Non-{{Markovian}} Quantum Dynamics Using Time-Evolving Matrix Product Operators},
  author = {Strathearn, A. and Kirton, P. and Kilda, D. and Keeling, J. and Lovett, B. W.},
  date = {2018-08},
  journaltitle = {Nat. Commun.},
  volume = {9},
  number = {1},
  pages = {3322.},
  publisher = {{See full text options at Nature Publishing Group}},
  issn = {2041-1723},
  doi = {10.1038/s41467-018-05617-3},
  file = {/home/hiro/Zotero/storage/DFEMSY8D/Strathearn et al. - 2018 - Efficient non-Markovian quantum dynamics using tim.pdf}
}

@article{Strunz1996,
  title = {Linear Quantum State Diffusion for Non-{{Markovian}} Open Quantum Systems},
  author = {Strunz, Walter T.},
  date = {1996},
  journaltitle = {Physics Letters A},
  volume = {224},
  pages = {25--30}
}

@article{Strunz1999,
  title = {Open {{System Dynamics}} with {{Non-Markovian Quantum Trajectories}}},
  author = {Strunz, Walter T. and Diıfmmode\textbackslash acuteo\textbackslash elseó\textbackslash fisi, Lajos and Gisin, Nicolas},
  date = {1999-03},
  journaltitle = {Phys. Rev. Lett.},
  volume = {82},
  number = {9},
  pages = {1801--1805},
  publisher = {{American Physical Society}},
  issn = {1079-7114},
  doi = {10.1103/PhysRevLett.82.1801},
  file = {/home/hiro/Zotero/storage/GHJXDRA9/Strunz et al. - 1999 - Open System Dynamics with Non-Markovian Quantum Tr.pdf}
}

@thesis{Strunz2001,
  type = {Habilitation Thesis},
  title = {Stochastic {{Schrödinger}} Equation Approach to the Dynamics of Non-{{Markovian}} Open Quantum Systems},
  author = {Strunz, Walter T.},
  date = {2001},
  institution = {{Fachbereich Physik der Universität Essen}}
}

@article{Su1979,
  title = {Solitons in {{Polyacetylene}}},
  author = {Su, W. P. and Schrieffer, J. R. and Heeger, A. J.},
  date = {1979-06-18},
  journaltitle = {Physical Review Letters},
  shortjournal = {Phys. Rev. Lett.},
  volume = {42},
  number = {25},
  pages = {1698--1701},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevLett.42.1698},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.42.1698},
  urldate = {2023-04-15},
  abstract = {We present a theoretical study of soliton formation in long-chain polyenes, including the energy of formation, length, mass, and activation energy for motion. The results provide an explanation of the mobile neutral defect observed in undoped (CH)x. Since the soliton formation energy is less than that needed to create band excitation, solitons play a fundamental role in the charge-transfer doping mechanism.},
  file = {/home/hiro/Zotero/storage/5YVFP4PK/Su et al. - 1979 - Solitons in Polyacetylene.pdf;/home/hiro/Zotero/storage/ANNZW5F4/su1979.pdf.pdf;/home/hiro/Zotero/storage/6TZ6G6YH/PhysRevLett.42.html}
}

@article{Suarez1992,
  title = {Memory {{Effects}} in the {{Relaxation}} of {{Quantum Open Systems}}},
  author = {Suárez, Alberto and Silbey, Robert and Oppenheim, Irwin},
  date = {1992-10},
  journaltitle = {The Journal of Chemical Physics},
  volume = {97},
  number = {7},
  pages = {5101--5107},
  issn = {0021-9606},
  doi = {10.1063/1.463831}
}

@article{Suess2014,
  title = {Hierarchy of Stochastic Pure States for Open Quantum System Dynamics},
  author = {Suess, D. and Eisfeld, A. and Strunz, W. T.},
  date = {2014-10},
  journaltitle = {Phys. Rev. Lett.},
  volume = {113},
  number = {15},
  pages = {150403.},
  publisher = {{See full text options at American Physical Society}},
  issn = {1079-7114},
  doi = {10.1103/PhysRevLett.113.150403},
  file = {/home/hiro/Zotero/storage/K4HTTUA3/Suess et al. - 2014 - Hierarchy of stochastic pure states for open quant.pdf}
}

@article{Takahashi1996,
  title = {{{THERMO FIELD DYNAMICS}}},
  author = {Takahashi, Yasushi and Umezawa, Hiroomi},
  date = {1996-06},
  journaltitle = {Int. J. Mod. Phys B},
  volume = {10},
  pages = {1755--1805},
  publisher = {{World Scientific Publishing Co.}},
  issn = {0217-9792},
  doi = {10.1142/S0217979296000817},
  issue = {13n14}
}

@article{Talkner2007,
  title = {Fluctuation Theorems: {{Work}} Is Not an Observable},
  author = {Talkner, Peter and Lutz, Eric and Hıfmmode\textbackslash ddota\textbackslash elseä\textbackslash finggi, Peter},
  date = {2007-05},
  journaltitle = {Phys. Rev. E},
  volume = {75},
  number = {5},
  pages = {050102},
  publisher = {{American Physical Society}},
  issn = {2470-0053},
  doi = {10.1103/PhysRevE.75.050102},
  file = {/home/hiro/Zotero/storage/95U79V8R/Talkner et al. - 2007 - Fluctuation theorems Work is not an observable.pdf}
}

@article{Talkner2016,
  title = {Open System Trajectories Specify Fluctuating Work but Not Heat},
  author = {Talkner, Peter and Hıfmmode\textbackslash ddota\textbackslash elseä\textbackslash finggi, Peter},
  date = {2016-08},
  journaltitle = {Phys. Rev. E},
  volume = {94},
  number = {2},
  pages = {022143},
  publisher = {{American Physical Society}},
  issn = {2470-0053},
  doi = {10.1103/PhysRevE.94.022143},
  file = {/home/hiro/Zotero/storage/FX2923Y8/Talkner and Hıfmmodeddotaelseäfinggi - 2016 - Open system trajectories specify fluctuating work .pdf}
}

@article{Talkner2020,
  title = {Colloquium: {{Statistical}} Mechanics and Thermodynamics at Strong Coupling: {{Quantum}} and Classical},
  author = {Talkner, Peter and Hıfmmode\textbackslash ddota\textbackslash elseä\textbackslash finggi, Peter},
  date = {2020-10},
  journaltitle = {Rev. Mod. Phys.},
  volume = {92},
  number = {4},
  pages = {041002},
  publisher = {{American Physical Society}},
  issn = {1539-0756},
  doi = {10.1103/RevModPhys.92.041002},
  file = {/home/hiro/Zotero/storage/P64B89A3/Talkner and Hıfmmodeddotaelseäfinggi - 2020 - Colloquium Statistical mechanics and thermodynami.pdf;/home/hiro/Zotero/storage/WAEUTWJ6/10.1103@RevModPhys.92.041002.pdf.pdf}
}

@article{Tan2019,
  title = {Experimental {{Measurement}} of the {{Quantum Metric Tensor}} and {{Related Topological Phase Transition}} with a {{Superconducting Qubit}}},
  author = {Tan, Xinsheng and Zhang, Dan-Wei and Yang, Zhen and Chu, Ji and Zhu, Yan-Qing and Li, Danyu and Yang, Xiaopei and Song, Shuqing and Han, Zhikun and Li, Zhiyuan and Dong, Yuqian and Yu, Hai-Feng and Yan, Hui and Zhu, Shi-Liang and Yu, Yang},
  date = {2019-05-29},
  journaltitle = {Physical Review Letters},
  shortjournal = {Phys. Rev. Lett.},
  volume = {122},
  number = {21},
  pages = {210401},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevLett.122.210401},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.122.210401},
  urldate = {2023-03-09},
  abstract = {A Berry curvature is an imaginary component of the quantum geometric tensor (QGT) and is well studied in many branches of modern physics; however, the quantum metric as a real component of the QGT is less explored. Here, by using tunable superconducting circuits, we experimentally demonstrate two methods to directly measure the quantum metric tensor for characterizing the geometry and topology of underlying quantum states in parameter space. The first method is to probe the transition probability after a sudden quench, and the second one is to detect the excitation rate under weak periodic driving. Furthermore, based on quantum metric and Berry-curvature measurements, we explore a topological phase transition in a simulated time-reversal-symmetric system. The work opens up a unique approach to explore the topology of quantum states with the QGT.},
  file = {/home/hiro/Zotero/storage/5G2ZADTR/Tan et al. - 2019 - Experimental Measurement of the Quantum Metric Ten.pdf;/home/hiro/Zotero/storage/W3FWHP54/PhysRevLett.122.html}
}

@article{Tang2015,
  title = {Extended Hierarchy Equation of Motion for the Spin-Boson Model},
  author = {Tang, Zhoufei and Ouyang, Xiaolong and Gong, Zhihao and Wang, Haobin and Wu, Jianlan},
  date = {2015-12},
  journaltitle = {J. Chem. Phys.},
  volume = {143},
  number = {22},
  pages = {224112},
  publisher = {{American Institute of Physics}},
  issn = {0021-9606},
  doi = {10.1063/1.4936924},
  file = {/home/hiro/Zotero/storage/5ZIEC6TD/Tang et al. - 2015 - Extended hierarchy equation of motion for the spin.pdf}
}

@article{Tanimura1990,
  title = {Nonperturbative Expansion Method for a Quantum System Coupled to a Harmonic-Oscillator Bath},
  author = {Tanimura, Yoshitaka},
  date = {1990-06},
  journaltitle = {Phys. Rev. A},
  volume = {41},
  number = {12},
  pages = {6676--6687},
  publisher = {{American Physical Society}},
  issn = {2469-9934},
  doi = {10.1103/PhysRevA.41.6676},
  file = {/home/hiro/Zotero/storage/2FLNWVVD/tanimura1990.pdf.pdf;/home/hiro/Zotero/storage/8QAMYSPF/Tanimura - 1990 - Nonperturbative expansion method for a quantum sys.pdf}
}

@article{Thouless1982,
  title = {Quantized Hall Conductance in a Two-{{Dimensional}} Periodic Potential},
  author = {Thouless, D.J. and Kohmoto, M. and Nightingale, M.P. and Den Nijs, M.},
  date = {1982},
  journaltitle = {Physical Review Letters},
  volume = {49},
  number = {6},
  pages = {405--408},
  issn = {0031-9007},
  doi = {10.1103/PhysRevLett.49.405},
  abstract = {The Hall conductance of a two-dimensional electron gas has been studied in a uniform magnetic field and a periodic substrate potential U. The Kubo formula is written in a form that makes apparent the quantization when the Fermi energy lies in a gap. Explicit expressions have been obtained for the Hall conductance for both large and small Uc. © 1982 The American Physical Society.},
  langid = {english},
  note = {Cited By :4356},
  file = {/home/hiro/Zotero/storage/A8CRH9G8/Thouless et al. - 1982 - Quantized hall conductance in a two-Dimensional pe.pdf;/home/hiro/Zotero/storage/IR9Z7D6Y/thouless1982.pdf.pdf;/home/hiro/Zotero/storage/F4BEVG5Q/display.html}
}

@article{Thouless1983,
  title = {Quantization of Particle Transport},
  author = {Thouless, D.J.},
  date = {1983},
  journaltitle = {Physical Review B},
  volume = {27},
  number = {10},
  pages = {6083--6087},
  issn = {0163-1829},
  doi = {10.1103/PhysRevB.27.6083},
  abstract = {The integrated particle current produced by a slow periodic variation of the potential of a Schrödinger equation is evaluated. It is shown that in a finite torus the integral of the current over a period can vary continuously, but in an infinite periodic system with full bands it must have an integer value. This quantization of particle transport is used to classify the energy gaps in a one-dimensional system with competing or incommensurate periods. It is also used to rederive Prange's results for the fractional charge of a soliton. © 1983 The American Physical Society.},
  langid = {english},
  note = {Cited By :1146},
  file = {/home/hiro/Zotero/storage/UW8FSNL6/Thouless - 1983 - Quantization of particle transport.pdf;/home/hiro/Zotero/storage/CSL38FQ6/display.html}
}

@book{Timm2022,
  title = {Vielteilchentheorie},
  author = {Timm, Carsten},
  date = {2022-03},
  url = {https://tu-dresden.de/mn/physik/itp/cmt/ressourcen/dateien/skripte/Skript_VTT.pdf?lang=en},
  file = {/home/hiro/Zotero/storage/Z834T2MF/Skript_VTT(1).pdf}
}

@article{Uzdin2015,
  title = {Equivalence of {{Quantum Heat Machines}}, and {{Quantum-Thermodynamic Signatures}}},
  author = {Uzdin, Raam and Levy, Amikam and Kosloff, Ronnie},
  date = {2015-09},
  journaltitle = {Phys. Rev. X},
  volume = {5},
  number = {3},
  pages = {031044},
  publisher = {{American Physical Society}},
  issn = {2160-3308},
  doi = {10.1103/PhysRevX.5.031044},
  file = {/home/hiro/Zotero/storage/W2ZQA2CA/Uzdin et al. - 2015 - Equivalence of Quantum Heat Machines, and Quantum-.pdf}
}

@article{Vaccaro2011,
  title = {Information Erasure without an Energy Cost},
  author = {Vaccaro, Joan A. and Barnett, Stephen M.},
  date = {2011-06},
  journaltitle = {Proc. R. Soc. A.},
  volume = {467},
  number = {2130},
  pages = {1770--1778},
  publisher = {{The Royal Society Publishing}},
  issn = {1471-2946},
  doi = {10.1098/rspa.2010.0577},
  file = {/home/hiro/Zotero/storage/Y7ZPKMS5/Vaccaro and Barnett - 2011 - Information erasure without an energy cost.pdf}
}

@article{Verdeny2016,
  title = {Quasi-{{Periodically Driven Quantum Systems}}},
  author = {Verdeny, Albert and Puig, Joaquim and Mintert, Florian},
  date = {2016-10-01},
  journaltitle = {Zeitschrift für Naturforschung A},
  volume = {71},
  number = {10},
  pages = {897--907},
  publisher = {{De Gruyter}},
  issn = {1865-7109},
  doi = {10.1515/zna-2016-0079},
  url = {https://www.degruyter.com/document/doi/10.1515/zna-2016-0079/html},
  urldate = {2023-03-16},
  abstract = {Floquet theory provides rigorous foundations for the theory of periodically driven quantum systems. In the case of non-periodic driving, however, the situation is not so well understood. Here, we provide a critical review of the theoretical framework developed for quasi-periodically driven quantum systems. Although the theoretical footing is still under development, we argue that quasi-periodically driven quantum systems can be treated with generalisations of Floquet theory in suitable parameter regimes. Moreover, we provide a generalisation of the Floquet-Magnus expansion and argue that quasi-periodic driving offers a promising route for quantum simulations.},
  langid = {english},
  keywords = {Driven Quantum Systems,Floquet Theory,Quasi-Periodicity,Reducibility},
  file = {/home/hiro/Zotero/storage/UUU9JYRC/Verdeny et al. - 2016 - Quasi-Periodically Driven Quantum Systems.pdf}
}

@article{Viebahn,
  title = {Introduction to {{Floquet}} Theory},
  author = {Viebahn, Konrad},
  langid = {english},
  file = {/home/hiro/Zotero/storage/F5U7JMX2/Viebahn - Introduction to Floquet theory.pdf}
}

@article{Vinjanampathy2016,
  title = {Quantum Thermodynamics},
  author = {Vinjanampathy, Sai and Anders, Janet},
  date = {2016-10},
  journaltitle = {Contemp. Phys.},
  volume = {57},
  number = {4},
  pages = {545--579},
  publisher = {{Taylor \& Francis}},
  issn = {0010-7514},
  doi = {10.1080/00107514.2016.1201896},
  file = {/home/hiro/Zotero/storage/AETVNT4D/Vinjanampathy and Anders - 2016 - Quantum thermodynamics.pdf}
}

@article{Virtanen2020,
  title = {{{SciPy}} 1.0: {{Fundamental Algorithms}} for {{Scientific Computing}} in {{Python}}},
  author = {Virtanen, Pauli and Gommers, Ralf and Oliphant, Travis E. and Haberland, Matt and Reddy, Tyler and Cournapeau, David and Burovski, Evgeni and Peterson, Pearu and Weckesser, Warren and Bright, Jonathan and van der Walt, Stéfan J. and Brett, Matthew and Wilson, Joshua and Millman, K. Jarrod and Mayorov, Nikolay and Nelson, Andrew R. J. and Jones, Eric and Kern, Robert and Larson, Eric and Carey, C J and Polat, İlhan and Feng, Yu and Moore, Eric W. and VanderPlas, Jake and Laxalde, Denis and Perktold, Josef and Cimrman, Robert and Henriksen, Ian and Quintero, E. A. and Harris, Charles R. and Archibald, Anne M. and Ribeiro, Antônio H. and Pedregosa, Fabian and van Mulbregt, Paul and {SciPy 1.0 Contributors}},
  options = {useprefix=true},
  date = {2020},
  journaltitle = {Nature Methods},
  volume = {17},
  pages = {261--272},
  doi = {10.1038/s41592-019-0686-2},
  file = {/home/hiro/Zotero/storage/74LUQ73M/Virtanen et al. - 2020 - SciPy 1.0 Fundamental Algorithms for Scientific C.pdf}
}

@article{vonKeyserlingk2018,
  title = {Operator {{Hydrodynamics}}, {{OTOCs}}, and {{Entanglement Growth}} in {{Systems}} without {{Conservation Laws}}},
  author = {von Keyserlingk, C. W. and Rakovszky, Tibor and Pollmann, Frank and Sondhi, S. L.},
  options = {useprefix=true},
  date = {2018-04-11},
  journaltitle = {Physical Review X},
  shortjournal = {Phys. Rev. X},
  volume = {8},
  number = {2},
  pages = {021013},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevX.8.021013},
  url = {https://link.aps.org/doi/10.1103/PhysRevX.8.021013},
  urldate = {2023-05-17},
  abstract = {Thermalization and scrambling are the subject of much recent study from the perspective of many-body quantum systems with locally bounded Hilbert spaces (“spin chains”), quantum field theory, and holography. We tackle this problem in 1D spin chains evolving under random local unitary circuits and prove a number of exact results on the behavior of out-of-time-ordered commutators (OTOCs) and entanglement growth in this setting. These results follow from the observation that the spreading of operators in random circuits is described by a “hydrodynamical” equation of motion, despite the fact that random unitary circuits do not have locally conserved quantities (e.g., no conserved energy). In this hydrodynamic picture, quantum information travels in a front with a “butterfly velocity” vB that is smaller than the light-cone velocity of the system, while the front itself broadens diffusively in time. The OTOC increases sharply after the arrival of the light cone, but we do not observe a prolonged exponential regime of the form ∼eλL(t−x/v) for a fixed Lyapunov exponent λL. We find that the diffusive broadening of the front has important consequences for entanglement growth, leading to an entanglement velocity that can be significantly smaller than the butterfly velocity. We conjecture that the hydrodynamical description applies to more generic Floquet ergodic systems, and we support this idea by verifying numerically that the diffusive broadening of the operator wavefront also holds in a more traditional nonrandom Floquet spin chain. We also compare our results to Clifford circuits, which have less rich hydrodynamics and consequently trivial OTOC behavior, but which can nevertheless exhibit linear entanglement growth and thermalization.},
  file = {/home/hiro/Zotero/storage/UZ8KPPQP/von Keyserlingk et al. - 2018 - Operator Hydrodynamics, OTOCs, and Entanglement Gr.pdf;/home/hiro/Zotero/storage/YJJS29WE/PhysRevX.8.html}
}

@article{vonKlitzing1986,
  title = {The Quantized {{Hall}} Effect},
  author = {von Klitzing, Klaus},
  options = {useprefix=true},
  date = {1986-07-01},
  journaltitle = {Reviews of Modern Physics},
  shortjournal = {Rev. Mod. Phys.},
  volume = {58},
  number = {3},
  pages = {519--531},
  publisher = {{American Physical Society}},
  doi = {10.1103/RevModPhys.58.519},
  url = {https://link.aps.org/doi/10.1103/RevModPhys.58.519},
  urldate = {2023-04-15},
  abstract = {DOI:https://doi.org/10.1103/RevModPhys.58.519},
  file = {/home/hiro/Zotero/storage/GDVZNE6R/von Klitzing - 1986 - The quantized Hall effect.pdf;/home/hiro/Zotero/storage/X27UUGJX/RevModPhys.58.html}
}

@article{Wan2021,
  title = {Fault-Tolerant Qubit from a Constant Number of Components},
  author = {Wan, Kianna and Choi, Soonwon and Kim, Isaac H. and Shutty, Noah and Hayden, Patrick},
  date = {2021},
  journaltitle = {PRX Quantum},
  volume = {2},
  number = {4},
  pages = {040345},
  publisher = {{APS}},
  file = {/home/hiro/Zotero/storage/E5GC7DKF/Wan et al. - 2021 - Fault-tolerant qubit from a constant number of com.pdf}
}

@article{Wang2010,
  title = {From Coherent Motion to Localization: {{II}}. {{Dynamics}} of the Spin-Boson Model with Sub-{{Ohmic}} Spectral Density at Zero Temperature},
  author = {Wang, Haobin and Thoss, Michael},
  date = {2010-05},
  journaltitle = {Chem. Phys.},
  volume = {370},
  number = {1},
  pages = {78--86},
  publisher = {{North-Holland}},
  issn = {0301-0104},
  doi = {10.1016/j.chemphys.2010.02.027},
  file = {/home/hiro/Zotero/storage/LLJZW9V3/Wang and Thoss - 2010 - From coherent motion to localization II. Dynamics.pdf}
}

@article{Wang2021,
  title = {Managing {{Quantum Heat Transfer}} in a {{Nonequilibrium Qubit-Phonon Hybrid System}} with {{Coherent Phonon States}}},
  author = {Wang, Chen and Wang, Lu-Qin and Ren, Jie},
  date = {2021-01},
  journaltitle = {Chin. Phys. Lett.},
  volume = {38},
  number = {1},
  pages = {010501},
  publisher = {{IOP Publishing}},
  issn = {0256-307X},
  doi = {10.1088/0256-307x/38/1/010501},
  file = {/home/hiro/Zotero/storage/2HYLTLHF/Wang et al. - 2021 - Managing Quantum Heat Transfer in a Nonequilibrium.pdf}
}

@book{Weber2006,
  title = {Laser {{Fundamentals}}. {{Part}} 2},
  editor = {Weber, H. and Herziger, G. and Poprawe, R.},
  date = {2006},
  series = {Landolt-{{Börnstein}} - {{Group VIII Advanced Materials}} and {{Technologies}}},
  volume = {1A2},
  publisher = {{Springer Berlin Heidelberg}},
  doi = {10.1007/978-3-540-47008-3},
  url = {http://materials.springer.com/bp/docs/978-3-540-47008-3},
  urldate = {2023-01-10},
  abstract = {Semantic Scholar extracted view of "Laser Fundamentals. Part 2" by H. Weber et al.},
  isbn = {978-3-540-28824-4},
  langid = {english},
  file = {/home/hiro/Zotero/storage/CCAIV5IJ/Laser Fundamentals 2.pdf}
}

@book{Weiss2008,
  title = {Quantum {{Dissipative Systems}} \$\textbackslash vert\$ {{Series}} in {{Modern Condensed Matter Physics}}},
  author = {Weiss, Ulrich},
  date = {2008-03},
  volume = {13},
  publisher = {{World Scientific Publishing Company}},
  location = {{Singapore}},
  doi = {10.1142/6738},
  isbn = {978-981-279-162-7}
}

@book{Weiss2012,
  title = {Quantum {{Dissipative Systems}}},
  author = {Weiss, Ulrich},
  date = {2012},
  publisher = {{World Scientific}},
  location = {{Singapore}},
  url = {https://books.google.de/books/about/Quantum_Dissipative_Systems.html?id=S2K6CgAAQBAJ&redir_esc=y},
  isbn = {978-981-4374-92-7}
}

@article{Welford1962,
  title = {Note on a {{Method}} for {{Calculating Corrected Sums}} of {{Squares}} and {{Products}}},
  author = {Welford, B. P.},
  date = {1962-08},
  journaltitle = {Technometrics},
  volume = {4},
  number = {3},
  pages = {419--420},
  publisher = {{Taylor \& Francis}},
  issn = {0040-1706},
  doi = {10.1080/00401706.1962.10490022},
  file = {/home/hiro/Zotero/storage/2TERNA52/welford1962.pdf.pdf}
}

@article{Wiedmann2020,
  title = {Non-{{Markovian}} Dynamics of a Quantum Heat Engine: Out-of-Equilibrium Operation and Thermal Coupling Control},
  author = {Wiedmann, M. and Stockburger, J. T. and Ankerhold, J.},
  date = {2020-03},
  journaltitle = {New J. Phys.},
  volume = {22},
  number = {3},
  pages = {033007},
  publisher = {{IOP Publishing}},
  issn = {1367-2630},
  doi = {10.1088/1367-2630/ab725a},
  file = {/home/hiro/Zotero/storage/CJA94KEG/Wiedmann et al. - 2020 - Non-Markovian dynamics of a quantum heat engine o.pdf}
}

@article{Wiedmann2021,
  title = {Non-{{Markovian}} Quantum {{Otto}} Refrigerator},
  author = {Wiedmann, Michael and Stockburger, Jıfmmode\textbackslash ddotu\textbackslash elseü\textbackslash firgen T. and Ankerhold, Joachim},
  date = {2021-06},
  journaltitle = {Eur. Phys. J. Spec. Top.},
  volume = {230},
  number = {4},
  pages = {851--857},
  publisher = {{Springer Berlin Heidelberg}},
  issn = {1951-6401},
  doi = {10.1140/epjs/s11734-021-00094-0},
  file = {/home/hiro/Zotero/storage/DA2VRE7W/Wiedmann et al. - 2021 - Non-Markovian quantum Otto refrigerator.pdf}
}

@book{Wilde2017,
  title = {Quantum {{Information Theory}}},
  author = {Wilde, Mark M.},
  date = {2017-02},
  journaltitle = {Cambridge Core},
  publisher = {{Cambridge University Press}},
  location = {{Cambridge, England, UK}},
  doi = {10.1017/9781316809976},
  isbn = {978-1-107-17616-4}
}

@article{Wyss2017,
  title = {Two {{Non-Commutative Binomial Theorems}}},
  author = {Wyss, Walter},
  date = {2017-07},
  journaltitle = {arXiv},
  doi = {10.48550/arXiv.1707.03861},
  file = {/home/hiro/Zotero/storage/AXMYP5WN/Wyss - 2017 - Two Non-Commutative Binomial Theorems.pdf}
}

@article{Xu2020,
  title = {{{ZZ}} Freedom in Two Qubit Gates},
  author = {Xu, Xuexin and Ansari, M. H.},
  date = {2020-09},
  journaltitle = {arXiv},
  doi = {10.1103/PhysRevApplied.15.064074},
  file = {/home/hiro/Zotero/storage/MNXYZSPA/Xu and Ansari - 2020 - ZZ freedom in two qubit gates.pdf}
}

@article{Xu2022,
  title = {Minimal Quantum Thermal Machine in a Bandgap Environment: Non-{{Markovian}} Features and Anti-{{Zeno}} Advantage},
  author = {Xu, Meng and Stockburger, J. T. and Kurizki, G. and Ankerhold, J.},
  date = {2022-03},
  journaltitle = {New J. Phys.},
  volume = {24},
  number = {3},
  pages = {035003},
  publisher = {{IOP Publishing}},
  issn = {1367-2630},
  doi = {10.1088/1367-2630/ac575b}
}

@book{Yeh2008,
  title = {The {{Essence}} of {{Dielectric Waveguides}}},
  author = {Yeh, C. and Shimabukuro, F. I.},
  date = {2008},
  publisher = {{Springer US}},
  location = {{Boston, MA}},
  doi = {10.1007/978-0-387-49799-0},
  url = {http://link.springer.com/10.1007/978-0-387-49799-0},
  urldate = {2023-01-05},
  isbn = {978-0-387-30929-3 978-0-387-49799-0},
  langid = {english},
  keywords = {basics,dielectric waveguide,electromagnetic wave,electromagnetic wave course,fiber,integrated optics,magnetic field,Metamaterial,microwave,millimeter/submillimeter,Planar,terahertz,waveguide course},
  file = {/home/hiro/Zotero/storage/TVKBGC9Z/Yeh and Shimabukuro - 2008 - The Essence of Dielectric Waveguides.pdf}
}

@article{Yu2000,
  title = {Post-{{Markov Master Equation}} for the {{Dynamics}} of {{Open Quantum Systems}}},
  author = {Yu, Ting and Diósi, Lajos and Gisin, Nicolas and Strunz, Walter T.},
  date = {2000-02},
  journaltitle = {Physics Letters A},
  volume = {265},
  number = {5-6},
  pages = {331--336},
  issn = {03759601},
  doi = {10.1016/S0375-9601(00)00014-1}
}

@article{Yuan2018,
  title = {Synthetic Dimension in Photonics},
  author = {Yuan, Luqi and Lin, Qian and Xiao, Meng and Fan, Shanhui},
  date = {2018-11-20},
  journaltitle = {Optica},
  shortjournal = {Optica, OPTICA},
  volume = {5},
  number = {11},
  pages = {1396--1405},
  publisher = {{Optica Publishing Group}},
  issn = {2334-2536},
  doi = {10.1364/OPTICA.5.001396},
  url = {https://opg.optica.org/optica/abstract.cfm?uri=optica-5-11-1396},
  urldate = {2023-03-09},
  abstract = {The physics of a photonic structure is commonly described in terms of its apparent geometric dimensionality. On the other hand, with the concept of synthetic dimension, it is in fact possible to explore physics in a space with a dimensionality that is higher as compared to the apparent geometrical dimensionality of the structures. In this review, we discuss the basic concepts of synthetic dimension in photonics, and highlight the various approaches toward demonstrating such synthetic dimensions for fundamental physics and potential applications.},
  langid = {english},
  keywords = {Cold atoms,Coupled mode theory,Optical angular momentum,Optical lattices,Ring resonators,Spatial light modulators},
  file = {/home/hiro/Zotero/storage/7ZHBZAHP/Yuan et al. - 2018 - Synthetic dimension in photonics.pdf}
}

@article{Yuan2018a,
  title = {Synthetic Space with Arbitrary Dimensions in a Few Rings Undergoing Dynamic Modulation},
  author = {Yuan, Luqi and Xiao, Meng and Lin, Qian and Fan, Shanhui},
  date = {2018-03-19},
  journaltitle = {Physical Review B},
  shortjournal = {Phys. Rev. B},
  volume = {97},
  number = {10},
  pages = {104105},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevB.97.104105},
  url = {https://link.aps.org/doi/10.1103/PhysRevB.97.104105},
  urldate = {2023-03-09},
  abstract = {We show that a single ring resonator undergoing dynamic modulation can be used to create a synthetic space with an arbitrary dimension. In such a system, the phases of the modulation can be used to create a photonic gauge potential in high dimensions. As an illustration of the implication of this concept, we show that the Haldane model, which exhibits nontrivial topology in two dimensions, can be implemented in the synthetic space using three rings. Our results point to a route toward exploring higher-dimensional topological physics in low-dimensional physical structures. The dynamics of photons in such synthetic spaces also provides a mechanism to control the spectrum of light.},
  file = {/home/hiro/Zotero/storage/9895UJB8/Yuan et al. - 2018 - Synthetic space with arbitrary dimensions in a few.pdf;/home/hiro/Zotero/storage/5AN8LFNP/PhysRevB.97.html}
}

@article{Yuan2019b,
  title = {Photonic {{Gauge Potential}} in {{One Cavity}} with {{Synthetic Frequency}} and {{Orbital Angular Momentum Dimensions}}},
  author = {Yuan, Luqi and Lin, Qian and Zhang, Anwei and Xiao, Meng and Chen, Xianfeng and Fan, Shanhui},
  date = {2019-03-01},
  journaltitle = {Physical Review Letters},
  shortjournal = {Phys. Rev. Lett.},
  volume = {122},
  number = {8},
  pages = {083903},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevLett.122.083903},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.122.083903},
  urldate = {2023-02-15},
  abstract = {We explore a single degenerate optical cavity supporting a synthetic two-dimensional space, which includes the frequency and the orbital angular momentum (OAM) axes of light. We create the effective gauge potential inside this synthetic space and show that the system exhibits topologically protected one-way edge states along the OAM axis at the boundaries of the frequency dimension. In this synthetic space, we present a robust generation and manipulation of entanglement between the frequency and OAM of photons. Our Letter shows that a higher-dimensional synthetic space involving multiple degrees of freedom of light can be achieved in a “zero-dimensional” spatial structure, pointing towards a unique platform to explore topological photonics and to realize potential applications in optical communications and quantum information processing.},
  file = {/home/hiro/Zotero/storage/XHGETQ2F/Yuan et al. - 2019 - Photonic Gauge Potential in One Cavity with Synthe.pdf;/home/hiro/Zotero/storage/SHLF87TQ/PhysRevLett.122.html}
}

@article{Zak1964,
  title = {Magnetic {{Translation Group}}},
  author = {Zak, J.},
  date = {1964-06-15},
  journaltitle = {Physical Review},
  shortjournal = {Phys. Rev.},
  volume = {134},
  pages = {A1602-A1606},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRev.134.A1602},
  url = {https://link.aps.org/doi/10.1103/PhysRev.134.A1602},
  urldate = {2023-04-13},
  abstract = {In this paper a group-theoretical approach to the problem of a Bloch electron in a magnetic field is given. A magnetic translation group is defined and its properties, in particular its connection with the usual translation group, are established.},
  issue = {6A},
  file = {/home/hiro/Zotero/storage/7F6HYC9E/Zak - 1964 - Magnetic Translation Group.pdf;/home/hiro/Zotero/storage/GPXSKECL/PhysRev.134.html}
}

@article{Zhang2010,
  title = {Quantum Phase Transition in the Sub-{{Ohmic}} Spin-Boson Model: {{An}} Extended Coherent-State Approach},
  shorttitle = {Quantum Phase Transition in the Sub-{{Ohmic}} Spin-Boson Model},
  author = {Zhang, Yu-Yu and Chen, Qing-Hu and Wang, Ke-Lin},
  date = {2010-03-26},
  journaltitle = {Physical Review B},
  shortjournal = {Phys. Rev. B},
  volume = {81},
  number = {12},
  pages = {121105},
  publisher = {{American Physical Society}},
  doi = {10.1103/PhysRevB.81.121105},
  url = {https://link.aps.org/doi/10.1103/PhysRevB.81.121105},
  urldate = {2023-04-19},
  abstract = {We propose a general extended coherent state approach to the qubit (or fermion) and multimode boson coupling systems. The application to the spin-boson model with the discretization of a bosonic bath with arbitrary continuous spectral density is described in detail, and very accurate solutions can be obtained. The quantum phase transition in the nontrivial sub-Ohmic case can be located by the fidelity and the order-parameter critical exponents for the bath exponents s{$<$}1/2 can be correctly given by the fidelity susceptibility, demonstrating the strength of the approach.},
  file = {/home/hiro/Zotero/storage/GE99JLTP/zhang2010.pdf.pdf;/home/hiro/Zotero/storage/Y5C6DPHN/Zhang et al. - 2010 - Quantum phase transition in the sub-Ohmic spin-bos.pdf;/home/hiro/Zotero/storage/RCXPS7SF/PhysRevB.81.html}
}

@article{Zhang2018,
  title = {Flexible Scheme to Truncate the Hierarchy of Pure States},
  author = {Zhang, P.-P. and Bentley, C. D. B. and Eisfeld, A.},
  date = {2018-04},
  journaltitle = {J. Chem. Phys.},
  volume = {148},
  number = {13},
  pages = {134103},
  publisher = {{American Institute of Physics}},
  issn = {0021-9606},
  doi = {10.1063/1.5022225},
  file = {/home/hiro/Zotero/storage/C3DDUQ3K/Zhang et al. - 2018 - Flexible scheme to truncate the hierarchy of pure .pdf}
}

@misc{Zitkovic2010,
  title = {Introduction to Stochastic Processes-Lecture Notes},
  author = {Žitković, Gordan},
  date = {2010},
  publisher = {{Austin, University of Texas-Department of Mathematics}},
  url = {https://web.ma.utexas.edu/users/gordanz/notes/introduction_to_stochastic_processes.pdf},
  file = {/home/hiro/Zotero/storage/7A9TNNIU/Žitković - 2010 - Introduction to stochastic processes-lecture notes.pdf}
}

@book{zotero-244,
  title = {Elektrodynamik},
  url = {https://link.springer.com/book/10.1007/978-3-8274-3036-6},
  urldate = {2023-01-06},
  langid = {english},
  file = {/home/hiro/Zotero/storage/JVE2RNXE/978-3-8274-3036-6.html}
}

@book{zotero-251,
  title = {Laser {{Fundamentals}}},
  url = {https://link.springer.com/book/9783540443797},
  urldate = {2023-01-10},
  langid = {english},
  file = {/home/hiro/Zotero/storage/JXMIU2BD/9783540443797.html}
}

@book{zotero-253,
  title = {Laser {{Fundamentals}} 2},
  url = {https://link.springer.com/book/9783540288244},
  urldate = {2023-01-10},
  langid = {english},
  file = {/home/hiro/Zotero/storage/P3GRKGR2/9783540288244.html}
}

@article{zotero-273,
  type = {article}
}

@online{zotero-280,
  title = {Maximilian {{Schlosshauer}}},
  url = {http://faculty.up.edu/schlosshauer/index.php?page=books#dec},
  urldate = {2023-01-19},
  file = {/home/hiro/Zotero/storage/TM97TJVC/index.html}
}

@online{zotero-288,
  title = {{{CS}}:{{APP3e}}, {{Bryant}} and {{O}}'{{Hallaron}}},
  url = {https://csapp.cs.cmu.edu/},
  urldate = {2023-01-19},
  file = {/home/hiro/Zotero/storage/8DY47ZLA/csapp.cs.cmu.edu.html}
}

@online{zotero-290,
  title = {Computer {{Systems}}: {{A Programmer}}'s {{Perspective}} (3rd {{Edition}}): {{Bryant}}, {{Randal E}}., {{O}}'{{Hallaron}}, {{David R}}.: 9780134092669: {{Books}} - {{Amazon}}.Ca},
  url = {https://www.amazon.ca/Computer-Systems-Programmers-Perspective-3rd/dp/013409266X},
  urldate = {2023-01-19}
}

@online{zotero-337,
  title = {Online Course on Topology in Condensed Matter},
  url = {https://topocondmat.org/index.html},
  urldate = {2023-02-13},
  abstract = {This is a open online course on topology in condensed matter. Initially developed for the edX platform in 2015, its development continues here. After following this course you will: Discover how to...},
  file = {/home/hiro/Zotero/storage/A5M7L8J2/index.html}
}

@online{zotero-350,
  title = {{{PGSS Payment Page}} - {{Provided}} by {{Chase Paymentech}}: {{Payment}}},
  url = {https://checkout.e-xact.com/collect_payment_data?ant=a73a19b6772eaca7661ef11d8acc2945&merchant=WSP-PGSS-OhKgAAANfw&order=a939db25c80bc9d63959e47949b1d79ca986c2e31b4dd12abbd2f99eb7846502&purch=705100356&t=1},
  urldate = {2023-02-15},
  file = {/home/hiro/Zotero/storage/DUB3BE69/collect_payment_data.html}
}

@online{zotero-415,
  title = {Phys. {{Rev}}. {{Lett}}. 121, 100502 (2018) - {{Observation}} of {{Topologically Protected Edge States}} in a {{Photonic Two-Dimensional Quantum Walk}}},
  url = {https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.100502},
  urldate = {2023-03-15},
  file = {/home/hiro/Zotero/storage/4VPFH74L/PhysRevLett.121.html}
}