Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonequilibrium Phase Transition of Interacting Bosons in an Intra-Cavity
  Optical Lattice   We investigate the nonlinear light-matter interaction of a Bose-Einstein
condensate trapped in an external periodic potential inside an optical cavity
which is weakly coupled to vacuum radiation modes and driven by a transverse
pump field. Based on a generalized Bose-Hubbard model which incorporates a
single cavity mode, we include the collective backaction of the atoms on the
cavity light field and determine the nonequilibrium quantum phases within the
nonperturbative bosonic dynamical mean-field theory.With the system parameters
adapted to recent experiments, we find a quantum phase transition from a normal
phase to a self-organized superfluid phase, which is related to the
Hepp-Lieb-Dicke superradiance phase transition. For even stronger pumping, a
self-organized Mott insulator phase arises.

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The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con