From 6692cfa9449eed0a3f321d9897873e1d1f743e33 Mon Sep 17 00:00:00 2001 From: Valentin Boettcher Date: Tue, 27 Sep 2022 14:24:06 +0200 Subject: [PATCH] more intro smoothing --- src/intro.tex | 31 +++++++++++++++++-------------- 1 file changed, 17 insertions(+), 14 deletions(-) diff --git a/src/intro.tex b/src/intro.tex index 88f521b..62ef3ae 100644 --- a/src/intro.tex +++ b/src/intro.tex @@ -77,31 +77,34 @@ 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. 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. +explored as an example of a system for which no analytic solution is +known. 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}. 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 +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 +we have access to using 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 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}. +In summary, the aim of this work is to demonstrate the validity of the +HOPS framework and its suitability for thermodynamical +applications. 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}. + +We begin now, by setting the stage for main part of this work and +introducing some elementary notions in~\cref{sec:open_systems}. \section{Open Quantum Systems} \label{sec:open_systems}