Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics and non-equilibrium steady state in a system of coupled
  harmonic oscillators   A system of two coupled oscillators, each of them coupled to an independent
reservoir, is analysed. The analytical solution of the non-rotating wave master
equation is obtained in the high-temperature and weak coupling limits. No
thermal entanglement is found in the high-temperature limit. In the weak
coupling limit the system converges to an entangled non-equilibrium steady
state. A critical temperature for the appearance of quantum correlations is
found.

25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat