Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Decoherence and Thermalization at Finite Temperature within the
  Canonical Thermal State Ensemble   We study measures of decoherence and thermalization of a quantum system $S$
in the presence of a quantum environment (bath) $E$. The entirety $S$$+$$E$ is
prepared in a canonical thermal state at a finite temperature, that is the
entirety is in a steady state. Both our numerical results and theoretical
predictions show that measures of the decoherence and the thermalization of $S$
are generally finite, even in the thermodynamic limit, when the entirety
$S$$+$$E$ is at finite temperature. Notably, applying perturbation theory with
respect to the system-environment coupling strength, we find that under common
Hamiltonian symmetries, up to first order in the coupling strength it is
sufficient to consider $S$ uncoupled from $E$, but entangled with $E$, to
predict decoherence and thermalization measures of $S$. This decoupling allows
closed form expressions for perturbative expansions for the measures of
decoherence and thermalization in terms of the free energies of $S$ and of $E$.
Large-scale numerical results for both coupled and uncoupled entireties with up
to 40 quantum spins support these findings.

9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin