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finish first application

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Valentin Boettcher 2023-01-02 14:44:20 -05:00
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talk_short/figs/drawings/shovel.pdf
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talk_short/figs/drawings/shovel.pdf_tex
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@ -50,7 +50,7 @@
\global\let\svgwidth\undefined%
\global\let\svgscale\undefined%
\makeatother%
\begin{picture}(1,0.35954775)%
\begin{picture}(1,0.37945925)%
\lineheight{1}%
\setlength\tabcolsep{0pt}%
\put(0,0){\includegraphics[width=\unitlength,page=1]{shovel.pdf}}%
@ -60,9 +60,10 @@
\put(0.12164526,0.01205317){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$H_{\sys}$\end{tabular}}}}%
\put(0,0){\includegraphics[width=\unitlength,page=3]{shovel.pdf}}%
\put(0.77664512,0.00523803){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$H_{\bath}$\end{tabular}}}}%
\put(0.44471097,0.14486942){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$L(τ)$\end{tabular}}}}%
\put(0.44471097,0.14486941){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$L(τ)$\end{tabular}}}}%
\put(0,0){\includegraphics[width=\unitlength,page=4]{shovel.pdf}}%
\put(0.84038056,0.30920962){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}$J(\omega)$\end{tabular}}}}%
\put(0.96273157,0.27894832){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}\tiny{$\omega$}\end{tabular}}}}%
\put(0.80201217,0.35851968){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}\tiny{$T>0$}\end{tabular}}}}%
\end{picture}%
\endgroup%

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talk_short/figs/modcoup/omega_energies_and_powers.pdf Normal file
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talk_short/index.tex
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@ -330,6 +330,7 @@ labelformat=brace, position=top]{subcaption}
\item \(L(τ) = \sin^2(\frac{Δ}{2} τ)σ_x\)
\item initial state of total system: \(ρ_{0} = \ketbra{\downarrow}
\otimes \frac{\eu^{-β H_{\bath}}}{Z}\)
\item Shifted SD for resonance
\end{itemize}
\end{block}
\end{frame}
@ -338,12 +339,12 @@ labelformat=brace, position=top]{subcaption}
\frametitle{Extracting Energy from One Bath}
\begin{itemize}
\item how much energy can be \emph{unitarily} extracted?
\(\implies\) \(ΔE_{\mathrm{max}}=\frac{1}{β}\qrelent{ρ_{\sys}}{ρ_{\sys}^{β}}\)
\(\implies\) \(\mathcal{W}_{\mathrm{max}}=\frac{1}{β}\qrelent{ρ_{\sys}}{ρ_{\sys}^{β}}\)
\end{itemize}
\begin{figure}[h]
\centering
\only<1>{\includegraphics[height=.65\textheight]{figs/modcoup/omegas_total}}
\only<2>{\includegraphics[height=.65\textheight]{figs/modcoup/delta_dependence}}
\only<2>{\includegraphics[height=.65\textheight]{figs/modcoup/omega_energies_and_powers}}
\end{figure}
\note[item]{energy normalized to ergo}
\note[item]{vert lines bath memory time}