add note about steady state fluctuations

This commit is contained in:
Valentin Boettcher 2022-09-21 19:33:54 +02:00
parent f6157304a5
commit 200e657c53
No known key found for this signature in database
GPG key ID: E034E12B7AF56ACE

View file

@ -753,8 +753,11 @@ system enters a periodic steady state after the time \(n_0τ\) for some
\(n_0\in\NN\) so that \(ρ_\sys((n + n_0)τ)= ρ_\sys(n_0τ)\) for all
\(n\in\NN\). This assumption is linked to the notion of a ``finite
memory'' of the baths which implies an infinite bath\footnote{Or, as
we have remarked earlier, a suitably large bath.}. In the same
spirit, we \emph{assume} that the energy change of each bath
we have remarked earlier, a suitably large bath.}. Note that even in
the absence of modulation, the steady state can exhibit periodic
dynamics as can be seen in \cref{fig:markov_analysis_steady} on page
\pageref{fig:markov_analysis_steady}. In the same spirit, we
\emph{assume} that the energy change of each bath
\(ΔE_{\bath^i}^\cyc =ΔE_{\bath^i}((n+1)τ)-ΔE_{\bath^i}() =
E_{\bath^i}((n+1)τ)-E_{\bath^i}(nτ)\) is constant once the system is
in the periodic steady state. This behavior, at least on the system