2022-06-28 20:34:10 +02:00
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\documentclass[fontsize=12pt,paper=a4,
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captions=nooneline,captions=tableabove,english,final,parskip=none,titlepage=false]{scrartcl}
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\usepackage[%
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paper=a4paper,
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top=30mm,
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bottom=25mm,
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left=25mm,
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right=25mm,
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]{geometry}
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\pdfvariable suppressoptionalinfo 512\relax
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2022-07-01 18:14:55 +02:00
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\usepackage{../hirostyle}
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\usepackage{../hiromacros}
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2022-06-28 20:34:10 +02:00
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\setmainfont{Liberation Sans}
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\usepackage[list=true, font=footnotesize, labelformat=brace]{subcaption}
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\addbibresource{references.bib}
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\renewcommand*{\titlepagestyle}{empty}
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\begin{document}
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\pagenumbering{gobble}
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\begin{center}
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\Large
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Calculating Energy Flows in Strongly Coupled Open Quantum Systems with
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HOPS
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\vspace{16pt}
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% Author names and affiliations
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\small \underline{Valentin Boettcher}$^1$, Richard Hartmann$^1$,
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Konstantin Beyer$^1$, Walter Strunz$^1$
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\\
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$^1$ Institute for Theoretical Physics, Dresden, Germany\\
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E-mail: \texttt{valentin.boettcher@tu-dresden.de}\\
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\vspace{8pt}
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\end{center}
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\normalsize
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The hierarchy of pure states
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(HOPS~\cite{Hartmann2017Dec,Diosi1998Mar}) is a general purpose
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stochastic numerical framework for the exact simulation of
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non-Markovian strongly coupled open systems. Without modification of
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the core method, it is possible to calculate the interaction energy
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and the bath energy change. This is due to HOPS' foundation on the
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global dynamics of the system and the bath in contrast to
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2022-09-27 16:19:09 +02:00
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master-equation methods. We extended the result in \refcite{Kato2016Dec}
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2022-06-28 20:34:10 +02:00
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for the Hierarchical Equations Of Motion method to arbitrary
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modulations of system and coupling inheriting all the advantages of
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the HOPS method.
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We present the basic theory and its application to simple driven
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spin-boson like systems, as well as a comparison with an exact
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solution for a quantum Brownian motion like model.
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\begin{figure}[H]
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\centering
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\subcaptionbox{Comparison of the bath energy change \(J_i=-∂_t\ev{H_{B,i}}\)
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for two harmonic oscillators coupled to two
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baths and each other.}{\input{./figs/poster_abstract/flow_comp.pgf}}
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\subcaptionbox{Total energy and interaction energy for a qubit
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coupled to a bath with long correlation time under fast
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modulation.}
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{\input{./figs/poster_abstract/energy_shovel_preview.pgf}}
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\end{figure}
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\printbibliography{}
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\end{document}
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