Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Class of exact memory-kernel master equations   A well-known situation in which a non-Markovian dynamics of an open quantum
system $S$ arises is when this is coherently coupled to an auxiliary system $M$
in contact with a Markovian bath. In such cases, while the joint dynamics of
$S$-$M$ is Markovian and obeys a standard (bipartite) Lindblad-type master
equation (ME), this is in general not true for the reduced dynamics of $S$.
Furthermore, there are several instances (\eg the dissipative Jaynes-Cummings
model) in which a {\it closed} ME for the $S$'s state {\it cannot} even be
worked out. Here, we find a class of bipartite Lindblad-type MEs such that the
reduced ME of $S$ can be derived exactly and in a closed form for any initial
product state of $S$-$M$. We provide a detailed microscopic derivation of our
result in terms of a mapping between two collision models

18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga