Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cavity-induced switching between localized and extended states in a
  non-interacting Bose-Einstein condensate   We study an ultracold atom-cavity coupling system, which had been implemented
in experiment to display weak light nonlinearity [S. Gupta \textit{et al}.,
Phys. Rev. Lett. \textbf{99}, 213601 (2007)]. The model is described by a
non-interacting Bose-Einstein condensate contained in a Fabry-P\'{e}rot optical
resonator, in which two incommensurate standing-wave modes are excited and thus
form a quasiperiodic optical lattice potential for the atoms. Special emphasis
are paid to the variation of atomic wavefunction induced by the cavity light
field. We show that bistability between the atomic localized and extended
states can be generated under appropriate conditions.

14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol