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113
references.bib
113
references.bib
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@ -209,7 +209,6 @@
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title={Stochastic Schrödinger equation approach to the dynamics of
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non-Markovian open quantum systems},
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author={Walter T. Strunz},
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type=Habilitation,
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institution={Fachbereich Physik der Universität Essen},
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year=2001
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}
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@ -292,7 +291,6 @@
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title={Stochastic Schrödinger equation approach to the dynamics of
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non-Markovian open quantum systems},
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author={Richard Hartmann},
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type=Dissertation,
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institution={Institut für Theoretische Physik, Technische Universität Dresden},
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year=2021
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}
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@ -1400,33 +1398,98 @@
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isbn = {978-981-437492-7},
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publisher = {World Scientific},
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address = {Singapore},
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url = {https://books.google.de/books/about/Quantum_Dissipative_Systems.html?id=S2K6CgAAQBAJ&redir_esc=y}
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url =
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{https://books.google.de/books/about/Quantum_Dissipative_Systems.html?id=S2K6CgAAQBAJ&redir_esc=y}
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}
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@article{Xu2022Mar,
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author = {Xu, Meng and Stockburger, J. T. and Kurizki, G. and Ankerhold, J.},
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title = {{Minimal quantum thermal machine in a bandgap environment: non-Markovian features and anti-Zeno advantage}},
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journal = {New J. Phys.},
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volume = {24},
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number = {3},
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pages = {035003},
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year = {2022},
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month = mar,
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issn = {1367-2630},
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publisher = {IOP Publishing},
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doi = {10.1088/1367-2630/ac575b}
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author = {Xu, Meng and Stockburger, J. T. and Kurizki, G. and
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Ankerhold, J.},
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title = {{Minimal quantum thermal machine in a bandgap
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environment: non-Markovian features and anti-Zeno
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advantage}},
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journal = {New J. Phys.},
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volume = 24,
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number = 3,
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pages = 035003,
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year = 2022,
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month = mar,
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issn = {1367-2630},
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publisher = {IOP Publishing},
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doi = {10.1088/1367-2630/ac575b}
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}
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@article{Shi2009Feb,
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author = {Shi, Qiang and Chen, Liping and Nan, Guangjun and Xu, Rui-Xue and Yan, YiJing},
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title = {{Efficient hierarchical Liouville space propagator to quantum dissipative dynamics}},
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journal = {J. Chem. Phys.},
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volume = {130},
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number = {8},
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pages = {084105},
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year = {2009},
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month = feb,
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issn = {0021-9606},
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publisher = {American Institute of Physics},
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doi = {10.1063/1.3077918}
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author = {Shi, Qiang and Chen, Liping and Nan, Guangjun and
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Xu, Rui-Xue and Yan, YiJing},
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title = {{Efficient hierarchical Liouville space propagator
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to quantum dissipative dynamics}},
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journal = {J. Chem. Phys.},
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volume = 130,
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number = 8,
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pages = 084105,
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year = 2009,
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month = feb,
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issn = {0021-9606},
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publisher = {American Institute of Physics},
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doi = {10.1063/1.3077918}
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}
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@ARTICLE{2020SciPy-NMeth,
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author = {Virtanen, Pauli and Gommers, Ralf and Oliphant,
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Travis E. and Haberland, Matt and Reddy, Tyler and
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Cournapeau, David and Burovski, Evgeni and Peterson,
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Pearu and Weckesser, Warren and Bright, Jonathan and
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{van der Walt}, St{\'e}fan J. and Brett, Matthew and
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Wilson, Joshua and Millman, K. Jarrod and Mayorov,
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Nikolay and Nelson, Andrew R. J. and Jones, Eric and
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Kern, Robert and Larson, Eric and Carey, C J and
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Polat, {\.I}lhan and Feng, Yu and Moore, Eric W. and
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{VanderPlas}, Jake and Laxalde, Denis and Perktold,
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Josef and Cimrman, Robert and Henriksen, Ian and
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Quintero, E. A. and Harris, Charles R. and
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Archibald, Anne M. and Ribeiro, Ant{\^o}nio H. and
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Pedregosa, Fabian and {van Mulbregt}, Paul and
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{SciPy 1.0 Contributors}},
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title = {{{SciPy} 1.0: Fundamental Algorithms for Scientific
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Computing in Python}},
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journal = {Nature Methods},
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year = 2020,
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volume = 17,
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pages = {261--272},
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adsurl = {https://rdcu.be/b08Wh},
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doi = {10.1038/s41592-019-0686-2},
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}
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@Article{ harris2020array,
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title = {Array programming with {NumPy}},
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author = {Charles R. Harris and K. Jarrod Millman and
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St{\'{e}}fan J. van der Walt and Ralf Gommers and
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Pauli Virtanen and David Cournapeau and Eric Wieser
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and Julian Taylor and Sebastian Berg and Nathaniel
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J. Smith and Robert Kern and Matti Picus and Stephan
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Hoyer and Marten H. van Kerkwijk and Matthew Brett
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and Allan Haldane and Jaime Fern{\'{a}}ndez del
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R{\'{i}}o and Mark Wiebe and Pearu Peterson and
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Pierre G{\'{e}}rard-Marchant and Kevin Sheppard and
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Tyler Reddy and Warren Weckesser and Hameer Abbasi
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and Christoph Gohlke and Travis E. Oliphant},
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year = 2020,
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month = sep,
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journal = {Nature},
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volume = 585,
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number = 7825,
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pages = {357--362},
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doi = {10.1038/s41586-020-2649-2},
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publisher = {Springer Science and Business Media {LLC}},
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url = {https://doi.org/10.1038/s41586-020-2649-2}
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}
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@misc{EricSchulte2022Sep,
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author = {Eric Schulte, Dan Davison},
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title = {{Introducing Babel}},
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year = 2022,
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month = sep,
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note = {[Online; accessed 15. Sep. 2022]},
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url = {https://orgmode.org/worg/org-contrib/babel/intro.html}
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}
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@ -425,3 +425,64 @@ in much the same way, except for the replacements
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\(η\rightarrow \tilde{η}\) in \cref{eq:singlehops}. Throughout this
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work, the nonlinear method is being used, as it offers much superior
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convergence.
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\section{A Note on Tooling}
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\label{sec:note-tooling}
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The source codes for the simulations presented in this work span
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multiple repositories. They all make heavy use of
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\texttt{Numpy}~\cite{harris2020array} and
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\texttt{Scipy}~\cite{2020SciPy-NMeth}. Further the
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\texttt{Arb}~\cite{Johansson2017arb} is employed for its excellent
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implementation of special functions. A small contribution was made to
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the \texttt{python} bindings in the course of this work.
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The main code repository for this work can be found under
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\url{https://github.com/vale981/master-thesis}.
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The directory \path{python/energy_flow_proper} contains several
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project subdirectory with literate programming notebooks in the
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\texttt{org} format~\cite{EricSchulte2022Sep}. A detailed listing
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linking subprojects to chapters can be found in
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\cref{tab:code_structure}.
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\begin{table}[htp]
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\centering
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\begin{tabular}{cc}
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Directory & Application \\
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\midrule
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\path{07_one_bath_systematics} & \cref{sec:prec_sim} \\
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\path{08_dynamic_one_bath} & \cref{sec:singlemod} \\
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\path{09_dynamic_two_bath_one_qubit} & \cref{sec:otto} \\
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\path{10_antizeno_engine} & Reproduction of~\cite{Mukherjee2020Jan}, not in this work. \\
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\path{11_new_ho_comparison} & \cref{sec:hopsvsanalyt}
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\end{tabular}
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\caption{\label{tab:code_structure} The subprojects in the main
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repository and their application.}
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\end{table}
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Code implementing the results of \cref{chap:flow,chap:analytsol} can
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be found under \url{https://github.com/vale981/hopsflow}. The models
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discussed in \cref{chap:numres,sec:therm_results} are implement in
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\url{https://github.com/vale981/two_qubit_model}.
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Some modifications were made to the code that generates the stochastic
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processes for HOPS. These modifications can be found under
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\url{https://github.com/vale981/stocproc}, although they are mostly
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merged into the original repository
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\url{https://github.com/cimatosa/stocproc}.
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Significant improvements have been made to the HOPS implementation of
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the Theoretical Quantum Optics group\footnote{Available upon
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reasonable request.}. Documentation, type hints and unit tests have
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been introduced. The parallelization mechanism was overhauled and now
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uses the \texttt{Ray}\footnote{\url{https://www.ray.io}} library. The
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structure of the code was further modularized, allowing for a simple
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implementation of new integration methods. Time dependent couplings
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and multiple baths were added to the implementation.
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The source code of this document is available under
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\url{https://github.com/vale981/master-thesis-tex}.
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