Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Treatment for Bose-Einstein Condensation in Non-Equilibrium
  Systems   We develop an approach based on stochastic quantum trajectories for an
incoherently pumped system of interacting bosons relaxing their energy in a
thermal reservoir. Our approach enables the study of the versatile coherence
properties of the system. We apply the model to exciton polaritons in a
semiconductor microcavity. Our results demonstrate the onset of macroscopic
occupation in the lowest-energy mode accompanied by the establishment of both
temporal and spatial coherence. We show that temporal coherence exhibits a
transition from a thermal to coherent statistics and the spatial coherence
reveals off-diagonal long-range order.

25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc