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rework intro yet again

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Valentin Boettcher 2022-09-21 15:12:59 +02:00
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@ -70,19 +70,29 @@ benchmark for HOPS and the results of \cref{chap:flow}.
The implementation and systematic application of this benchmark is
performed in \cref{chap:numres}. Further, the spin boson model will be
explored as an example of a system that is not exactly solvable in
general.
general. This also gives us the first opportunity to discuss and
explore the intricacies of the interplay between system, interaction
and bath energy expectation values, as well as the flow of energy
between system and bath.
Finally, we will turn to some thermodynamical questions in
\cref{sec:therm_results} both from a conceptual angle in
\cref{sec:basic_thermo} and through the exploration of concrete
systems in \cref{sec:singlemod,sec:otto}.
systems in \cref{sec:singlemod,sec:otto}. Beginning with a review of
some bounds on energy extraction from systems coupled to infinite
baths the concept of ergotropy will be discussed and illustrated
through a concrete calculation. Importantly, this requires us to take
a perspective that is centered on the global unitary evolution which
we have access to with HOPS. Subsequently, we will turn to
periodically modulated systems and explore both the capabilities of
HOPS, and the role of the aforementioned bounds in actual models.
The aim of this work is to demonstrate the validity of the HOPS
framework and its suitability for thermodynamical applications. In
this spirit spin-boson like models are explored to provide an overview
of the capabilities of the method and ideas for future
studies. Although those are mentioned throughout the work, some
promising avenues are being highlighted in
this spirit quantum Brownian motion and spin-boson like models are
being explored to provide an overview of the capabilities of the
method and ideas for future studies. Although those are mentioned
throughout the work, some promising avenues are being highlighted in
\cref{cha:concl-ideas-future}.
\section{Open Quantum Systems}