Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Going beyond Local and Global approaches for localized thermal
  dissipation   Identifying which master equation is preferable for the description of a
multipartite open quantum system is not trivial and has led in the recent years
to the local vs. global debate in the context of Markovian dissipation. We
treat here a paradigmatic scenario in which the system is composed of two
interacting harmonic oscillators A and B, with only A interacting with a
thermal bath - collection of other harmonic oscillators - and we study the
equilibration process of the system initially in the ground state with the bath
finite temperature. We show that the completely positive version of the
Redfield equation obtained using coarse-grain and an appropriate time-dependent
convex mixture of the local and global solutions give rise to the most accurate
semigroup approximations of the whole exact system dynamics, i.e. both at short
and at long time scales, outperforming the local and global approaches.

23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th