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make the wrapfigures normal figures (for now)

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Valentin Boettcher 2022-09-25 17:08:00 +02:00
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@ -328,7 +328,7 @@ qualitatively different steady state than the one with the same cutoff
but weaker coupling strength (green line). This also manifests in a but weaker coupling strength (green line). This also manifests in a
higher expected system energy in the steady state. higher expected system energy in the steady state.
\begin{wrapfigure}[-4]{O}{0.4\textwidth}* \begin{figure}[htp]
\centering \centering
\includegraphics{figs/analytic_comp/timescale_comparison} \includegraphics{figs/analytic_comp/timescale_comparison}
\caption{\label{fig:timescale_comp} A comparison of bath vs \caption{\label{fig:timescale_comp} A comparison of bath vs
@ -336,7 +336,7 @@ higher expected system energy in the steady state.
\(\sqrt{α(0)}/ω_{c}\sim τ_{\bath}/τ_{\inter}\) for the simulations \(\sqrt{α(0)}/ω_{c}\sim τ_{\bath}/τ_{\inter}\) for the simulations
in \cref{fig:ho_zero_entropy}. The orange line is set far apart in \cref{fig:ho_zero_entropy}. The orange line is set far apart
from the other simulations.} from the other simulations.}
\end{wrapfigure} \end{figure}
The time dependence of the system entropy and the system energy The time dependence of the system entropy and the system energy
expectation value is markedly different for the cutoff \(ω_c=3\) expectation value is markedly different for the cutoff \(ω_c=3\)
(orange line). Although the coupling strength is similar to the (orange line). Although the coupling strength is similar to the
@ -1053,12 +1053,12 @@ by
\end{equation} \end{equation}
where \(ω_{s} > 0\). where \(ω_{s} > 0\).
\begin{wrapfigure}[-1]{O}{0.3\textwidth}* \begin{figure}[htp]
\centering \centering
\includegraphics{figs/one_bath_syst/L_mod} \includegraphics{figs/one_bath_syst/L_mod}
\caption{\label{fig:L_mod} The smooth modulation of the coupling \caption{\label{fig:L_mod} The smooth modulation of the coupling
operator \(L(τ)\).} operator \(L(τ)\).}
\end{wrapfigure} \end{figure}
Also, we turn off the interaction smoothly\footnote{A smoothstep Also, we turn off the interaction smoothly\footnote{A smoothstep
function of order two with a transition period of two. See function of order two with a transition period of two. See
\cref{sec:smoothstep}.} over two time units (see \cref{fig:L_mod}) \cref{sec:smoothstep}.} over two time units (see \cref{fig:L_mod})
@ -1180,7 +1180,7 @@ to future work.
% some part of the negative interaction energy. In this way, the removal % some part of the negative interaction energy. In this way, the removal
% of the bath would % of the bath would
\begin{wrapfigure}[-1]{O}{0.4\textwidth}* \begin{figure}[htp]
\centering \centering
\includegraphics{figs/one_bath_syst/initial_slip_resonance} \includegraphics{figs/one_bath_syst/initial_slip_resonance}
\caption{\label{fig:initial_slip_resonance} The interaction energies \caption{\label{fig:initial_slip_resonance} The interaction energies
@ -1189,7 +1189,7 @@ to future work.
dynamics \cref{eq:pureinterexp_timeidp} (dashed lines). Larger dynamics \cref{eq:pureinterexp_timeidp} (dashed lines). Larger
frequency shifts of the spectral density lead to a higher frequency shifts of the spectral density lead to a higher
magnitude of the interaction energy and faster dynamics.} magnitude of the interaction energy and faster dynamics.}
\end{wrapfigure} \end{figure}
As a heuristic observation, the maximal absolute interaction energy As a heuristic observation, the maximal absolute interaction energy
is roughly proportional to the shift \(ω_{s}\) of the spectral is roughly proportional to the shift \(ω_{s}\) of the spectral
density, so that the short term interaction strength as measured by density, so that the short term interaction strength as measured by
@ -1488,7 +1488,7 @@ coupling strengths in \cref{sec:one_bathcoup_strength}.
\subsection{Varying the Coupling Strength}% \subsection{Varying the Coupling Strength}%
\label{sec:one_bathcoup_strength} \label{sec:one_bathcoup_strength}
\begin{wrapfigure}[-2]{o}{0.3\textwidth}* \begin{figure}[htp]
\centering \centering
\includegraphics{figs/one_bath_syst/final_states_flows} \includegraphics{figs/one_bath_syst/final_states_flows}
\caption{\label{fig:delta_fs_flow} The absolute value difference of \caption{\label{fig:delta_fs_flow} The absolute value difference of
@ -1496,7 +1496,7 @@ coupling strengths in \cref{sec:one_bathcoup_strength}.
\cref{fig:delta_energy_overview} from their value at coupling \cref{fig:delta_energy_overview} from their value at coupling
strength \(α(0)=0.40\) normalized by their value at strength \(α(0)=0.40\) normalized by their value at
\(α(0)=1.12\).} \(α(0)=1.12\).}
\end{wrapfigure} \end{figure}
After having studied the dependence of the bath energy flow for After having studied the dependence of the bath energy flow for
various cutoff frequencies of the BCF in \cref{sec:one_bath_cutoff}, various cutoff frequencies of the BCF in \cref{sec:one_bath_cutoff},
we now consider the case with fixed cutoff \(ω_c=2\) but varying we now consider the case with fixed cutoff \(ω_c=2\) but varying
@ -1666,14 +1666,14 @@ upon the bath energy change due to the initial slip, is the subject of
\subsection{Moderating the Inital Slip with Modulated Coupling}% \subsection{Moderating the Inital Slip with Modulated Coupling}%
\label{sec:moder-init-slip} \label{sec:moder-init-slip}
\begin{wrapfigure}[-2]{o}{0.4\textwidth}* \begin{figure}[htp]
\centering \centering
\includegraphics{figs/one_bath_mod/modulation_protocols_init.pdf} \includegraphics{figs/one_bath_mod/modulation_protocols_init.pdf}
\caption{\label{fig:L_mod_init} The interaction is being switched on \caption{\label{fig:L_mod_init} The interaction is being switched on
smoothly over a period of \(8\) time units by the use of smoothly over a period of \(8\) time units by the use of
smoothstep functions (\cref{sec:smoothstep}) of different smoothstep functions (\cref{sec:smoothstep}) of different
orders. A sudden protocol is being included for reference.} orders. A sudden protocol is being included for reference.}
\end{wrapfigure} \end{figure}
In \cref{sec:pure_deph} we derived the short term behavior of the In \cref{sec:pure_deph} we derived the short term behavior of the
interaction dynamics by neglecting the system Hamiltonian. Up to now interaction dynamics by neglecting the system Hamiltonian. Up to now
we only have looked at the scenario in which the interaction is we only have looked at the scenario in which the interaction is