From d6ad82e2af00e2a5a96778bad02a963b0ee0ce7e Mon Sep 17 00:00:00 2001 From: Valentin Boettcher Date: Tue, 27 Sep 2022 16:19:09 +0200 Subject: [PATCH] more typo --- hiromacros.sty | 27 ++++++++++++++++++++++++++- hirostyle.sty | 26 -------------------------- poster/poster_abstract.tex | 2 +- src/flow.tex | 4 ++-- src/intro.tex | 4 ++-- src/num_results.tex | 8 ++++---- src/thermo.tex | 12 ++++++------ talk/index.tex | 2 +- 8 files changed, 42 insertions(+), 43 deletions(-) diff --git a/hiromacros.sty b/hiromacros.sty index 8e42f03..ba067a8 100644 --- a/hiromacros.sty +++ b/hiromacros.sty @@ -93,7 +93,7 @@ \def\hilb{\ensuremath{\mathcal{H}}} % fixme -\newcommand{\fixme}[1]{\marginpar{\tiny\textcolor{red}{#1}}} +\newcommand{\fixme}[1]{} %{\marginpar{\tiny\textcolor{red}{#1}}} % HOPS/NMQSD \def\sys{\ensuremath{\mathrm{S}}} @@ -140,3 +140,28 @@ \newcommand{\plot}[1]{% \includegraphics[draft=false]{./figs/#1.pdf}} \newcommand{\tval}[1]{{\input{./values/#1.tex}}} + +%% citing "in ref" +\NewBibliographyString{refname} +\NewBibliographyString{refsname} +\DefineBibliographyStrings{english}{% + refname = {Ref\adddot}, + refsname = {Refs\adddot} +} + +\DeclareCiteCommand{\refcite} + {% + \ifnum\thecitetotal=1 + \bibstring{refname}% + \else% + \bibstring{refsname}% + \fi% + \addspace\bibopenbracket% + \usebibmacro{cite:init}% + \usebibmacro{prenote}} + {\usebibmacro{citeindex}% + \usebibmacro{cite:comp}} + {} + {\usebibmacro{cite:dump}% + \usebibmacro{postnote}% + \bibclosebracket} diff --git a/hirostyle.sty b/hirostyle.sty index 05c4a4a..92a90af 100644 --- a/hirostyle.sty +++ b/hirostyle.sty @@ -82,30 +82,4 @@ linkcolor=blue, % cursive bold in maths \unimathsetup{math-style=TeX,bold-style=ISO} -%% citing "in ref" -\NewBibliographyString{refname} -\NewBibliographyString{refsname} -\DefineBibliographyStrings{english}{% - refname = {Ref\adddot}, - refsname = {Refs\adddot} -} - -\DeclareCiteCommand{\refcite} - {% - \ifnum\thecitetotal=1 - \bibstring{refname}% - \else% - \bibstring{refsname}% - \fi% - \addspace\bibopenbracket% - \usebibmacro{cite:init}% - \usebibmacro{prenote}} - {\usebibmacro{citeindex}% - \usebibmacro{cite:comp}} - {} - {\usebibmacro{cite:dump}% - \usebibmacro{postnote}% - \bibclosebracket} - - \recalctypearea diff --git a/poster/poster_abstract.tex b/poster/poster_abstract.tex index c844777..a780230 100644 --- a/poster/poster_abstract.tex +++ b/poster/poster_abstract.tex @@ -38,7 +38,7 @@ non-Markovian strongly coupled open systems. Without modification of the core method, it is possible to calculate the interaction energy and the bath energy change. This is due to HOPS' foundation on the global dynamics of the system and the bath in contrast to -master-equation methods. We extended the result in~\cite{Kato2016Dec} +master-equation methods. We extended the result in \refcite{Kato2016Dec} for the Hierarchical Equations Of Motion method to arbitrary modulations of system and coupling inheriting all the advantages of the HOPS method. diff --git a/src/flow.tex b/src/flow.tex index ad0be14..247de04 100644 --- a/src/flow.tex +++ b/src/flow.tex @@ -136,7 +136,7 @@ Defining \label{eq:defdop} D_t = ∫_0^t\dd{s} \alpha(t-s)\fdv{η^\ast_s} \end{equation} -as in~\cite{Suess2014Oct} we find +as in \refcite{Suess2014Oct} we find \begin{equation} \label{eq:final_flow_nmqsd} J(t) = -\i \mathcal{M}_{η^\ast}\bra{\psi(η, @@ -511,7 +511,7 @@ general. We refer to \cref{sec:hops_multibath} for an review of the NMQSD theory and HOPS method for multiple baths. Because the bath energy change is being calculated directly and not -through energy conservation as in~\cite{Kato2016Dec}, we find +through energy conservation as in \refcite{Kato2016Dec}, we find \begin{equation} \label{eq:general_n_flow} J_n=-\dv{\ev{H_\bath^{(n)}}}{t} = \iu\ev{[H_\bath^{(n)}, diff --git a/src/intro.tex b/src/intro.tex index 31264e2..70329f9 100644 --- a/src/intro.tex +++ b/src/intro.tex @@ -319,7 +319,7 @@ arrive at an equation for \(\ket{ψ(t,\vb{z}^{\ast})}\) From this point on there are multiple avenues open to us. We choose the canonical one of \cite{Strunz2001Habil}, but there is also a time-discrete derivation, that avoids functional derivatives, -in~\cite{Hartmann2021Aug}. +in \refcite{Hartmann2021Aug}. We shift the perspective and define~\cite{RichardDiss,Strunz2001Habil} \begin{equation} @@ -486,7 +486,7 @@ We call \cref{eq:singlehops} the \emph{Hierarchy of Pure States} because each hierarchy state couples only to the hierarchy states one level above and one level below. This is similar to the \emph{Hierarchical Equations of Motion} (HEOM) approach used -in~\cite{Kato2016Dec}, but with the advantage of reducing the +in \refcite{Kato2016Dec}, but with the advantage of reducing the dimensionality from \(\dim{\hilb_{\sys}}^{2}\) to \(\dim{\hilb_{\sys}}\) by treating pure states instead of density matrices. diff --git a/src/num_results.tex b/src/num_results.tex index cbd2733..941b637 100644 --- a/src/num_results.tex +++ b/src/num_results.tex @@ -109,7 +109,7 @@ the ``Markovianity'' of the bath. The ohmic spectral density models an environment with a physical energy spectrum that is bounded from below and allows the application -of the finite temperature method described in~\cite{RichardDiss} and +of the finite temperature method described in \refcite{RichardDiss} and \cref{sec:lin_finite}. Also, \(J(0) = 0\) ensures that there is a unique zero temperature state of the bath. In~\cite{Kolar2012Aug} it is argued (under weak coupling assumptions), that \(J(ω)\approx ω^γ\) @@ -122,7 +122,7 @@ It may be remarked, that~\cref{eq:ohmic_bcf} does not correspond to a simple sum of exponentials. As such it exercises the HOPS method and serves as a model for a general bath correlation function. For use with HOPS, a sum of exponentials must be fitted to the BCF. This has -been done in~\cite{RichardDiss,Hartmann2021Aug}. In +been done in \refcite{RichardDiss,Hartmann2021Aug}. In \cref{sec:hopsvsanalyt} we will see, that this is indeed a valid strategy for the application of \cref{chap:flow}. @@ -753,7 +753,7 @@ the stochastic process we chose the cutoff \(\abs{\vb{k}} \leq 4\) (simplex truncation\footnote{see \cref{sec:hops_basics}}), \(N=4.5 \cdot 10^5\) trajectories and an Ohmic BCF with \(α(0)=1.6\) and \(ω_c=4\). The sampling method uses the ``Fast Fourier -Transform'' (FFT) as described in~\cite{RichardDiss}. As the system +Transform'' (FFT) as described in \refcite{RichardDiss}. As the system Hilbert space dimension is small, a BCF expansion with seven terms was employed~\cite{Hartmann2021Aug,RichardDiss}. @@ -855,7 +855,7 @@ convergence as is also demonstrated in \subsection{Hierarchy Truncation} \label{sec:trunc} As the systematics of the truncation depth have already been studied -thoroughly in~\cite{RichardDiss,Hartmann2021Aug}, we will keep the +thoroughly in \refcite{RichardDiss,Hartmann2021Aug}, we will keep the discussion short. We chose \(N=4.5 \cdot 10^5\) trajectories and an Ohmic BCF with \(α(0)=0.8\) and \(ω_c=2\). Again, a BCF expansion with seven terms has been used. The coupling strength has been chosen with diff --git a/src/thermo.tex b/src/thermo.tex index 0761e65..471c14f 100644 --- a/src/thermo.tex +++ b/src/thermo.tex @@ -73,7 +73,7 @@ change over one cycle. In \cref{sec:operational_thermo} a Gibbs like inequality for an arbitrary number of baths is derived as a slight generalization of the -derivation in~\cite{Kato2016Dec}. The left hand side of this +derivation in \refcite{Kato2016Dec}. The left hand side of this inequality can be associated with a thermodynamic cost that should be minimized for optimal efficiency. @@ -112,7 +112,7 @@ where \(n<∞\) is the Hilbert space dimension. This condition is both necessary and sufficient. Examples of passive states are the state of the micro-canonical ensemble or Gibbs states. Gibbs states are further distinguished by additional features described -in~\cite{Lenard1978Dec}, which can be connected to formulations of the +in \refcite{Lenard1978Dec}, which can be connected to formulations of the zeroth and second laws of thermodynamics. One of these properties is complete passivity. Completely passive @@ -289,7 +289,7 @@ bath properties except the temperature. It is therefore reasonable to expected that it is also valid for an infinite bath. Interestingly, a saturation of \cref{eq:thermo_ergo_bound} is achieved -in~\cite{Skrzypczyk2014Jun} with a continuous qubit +in \refcite{Skrzypczyk2014Jun} with a continuous qubit bath. In~\cite{Lobejko2021Feb} a more generic argument is made in a similar setting. Both propose concrete protocols within the bounds of thermal operations and by considering explicit work reservoirs. In @@ -672,7 +672,7 @@ energy that can be extracted out of the system in relation to the energy that is simply transferred between the baths. An argument based on entropy may be made for the periodic steady state -as was shown in~\cite{Kato2016Dec} and is reproduced here with the +as was shown in \refcite{Kato2016Dec} and is reproduced here with the slight generalization of multiple baths and modulated coupling. We will find a Clausius like form of the second law. The left hand side of this inequality can then be interpreted as thermodynamic cost of @@ -789,7 +789,7 @@ If one defines heat in this way~\cite{Kato2016Dec,Riechers2021Apr,Strasberg2021Aug}, \cref{eq:secondlaw_cyclic} amounts to the Clausius inequality. The definition of heat as bath energy change is corroborated -in~\cite{Esposito2015Dec} where it is shown, ableit for fermionic +in \refcite{Esposito2015Dec} where it is shown, ableit for fermionic baths, that a definition of heat involving any nonzero fraction of the interaction energy will lead to the internal energy (as defined by the first law) not being an exact differential. @@ -1391,7 +1391,7 @@ however, we find that also the modulation of the interaction, i.e. the coupling and decoupling, figures into the total power and reduces the energy output. In a weak coupling scheme, this contribution can be neglected. Not so however in the generic case presented here. A -similar result was found in~\cite{Wiedmann2021Jun}. +similar result was found in \refcite{Wiedmann2021Jun}. The mean power output of this cycle is \(\bar{P}=0.002468\pm 0.000021\) with an efficiency, as defined in diff --git a/talk/index.tex b/talk/index.tex index 95c826b..a52f954 100644 --- a/talk/index.tex +++ b/talk/index.tex @@ -817,7 +817,7 @@ labelformat=brace, position=top]{subcaption} \(J(ω) = π ∑_λ\abs{g_λ}^2δ(ω-ω_λ)\)). \end{frame} \begin{frame}{Fock-Space Embedding} - As in~\cite{Gao2021Sep} we can define + As in \refcite{Gao2021Sep} we can define \begin{equation} \label{eq:fockpsi} \ket{Ψ} = \sum_\kmat\ket{\psi^\kmat}\otimes \ket{\kmat}