Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bistable Mott-insulator to superfluid phase transition in cavity
  optomechanics   We study the many-body state of ultracold bosons in a bistable optical
lattice potential in an optomechanical resonator in the weak-coupling limit.
New physics arises as a result of bistability and discontinuous jumps in the
cavity field. Of particular interest is the situation where the optical cavity
is engineered so that a single input beam can result in two radically different
stable ground states for the intracavity gas: superfluid and Mott-insulator.

37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
16
The categories of this paper are: stat