expound a little on non markovianity

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Valentin Boettcher 2022-09-21 16:14:46 +02:00
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@ -1647,3 +1647,19 @@
publisher = {North-Holland},
doi = {10.1016/0370-1573(88)90023-3}
}
@article{Link2022Feb,
author = {Link, Valentin and Strunz, Walter T. and Luoma,
Kimmo},
title = {{Non-Markovian Quantum Dynamics in a Squeezed
Reservoir}},
journal = {Entropy},
volume = 24,
number = 3,
pages = 352,
year = 2022,
month = feb,
issn = {1099-4300},
publisher = {Multidisciplinary Digital Publishing Institute},
doi = {10.3390/e24030352}
}

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@ -1277,7 +1277,16 @@ dependence of the dynamics upon the shape of the whole spectral
density.
Note that the short time behaviour discussed here can usually not be
resolved by GKSL dynamics.
resolved by GKSL dynamics. This is due to the fact, that the bath
timescale \(\sim 1/ω_{c}\) must be by far the shortest
timescale. Another demonstration of this fact is given in
\cite{Link2022Feb}, where Markovian dynamics are compared with the
Redfield and exact Dynamics for the spin-boson model coupled to a
squeezed bath. As in \cite{Xu2022Mar}, the Redfield description is
found to be adequate for weak coupling. This is due to the fact, that
the Redfield master equation does not require the secular
approximation, but only weak coupling and can therefore capture
non-Markovian dynamics.
\paragraph{Initial Slip}
\begin{figure}[htp]