outro for thermo section

src/thermo.tex

@@ -1516,3 +1516,31 @@ remarks in \cref{cha:concl-ideas-future} about \cite{Uzdin2015Sep}.
 % \item filter mode: \cref{sec:shift_sp}
 % \item otto cycle: sensitivity to timing stronger with stronger coupling?
 % \end{itemize}
+
+\section{Conclusion}
+\label{sec:conclusion-2}
+
+We have reviewed the notion of unitarily extractable energy
+``ergotropy'' and found that this quantity is indeed bounded by
+\cref{eq:thermo_ergo_bound} for the models we study in this work,
+namely finite dimensional systems coupled to a heat bath. It was
+further demonstrated with an analytical calculation that this bound
+can apply to baths with infinite degrees of freedom. In the
+case of multiple baths, a Gibbs like inequality
+\cref{eq:secondlaw_cyclic} was presented which can be interpreted as
+thermodynamic cost of a cyclical process.
+
+Subsequently, we studied a modulated version of the spin-boson model
+with the goal of extracting energy from a thermal bath. We found that
+a not insubstantial fraction of the theoretical maximum can be
+extracted when only the coupling to the bath is modulated and the bath
+memory is long. Also, the quantum speed limit and a resonance
+phenomenon were demonstrated. The latter elucidated in which way the
+strong coupling case differs from the weak coupling regime.
+
+Finally, we demonstrated the fitness of HOPS to treat arbitrarily
+driven systems with multiple baths through the simulation of a quantum
+Otto cycle. We achieved finite power and found the Gibbs like
+inequality to be valid. An equivalent continuously coupled cycle
+without modulation of the coupling performed significantly worse in
+terms of power and efficiency.