Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Photonic Josephson effect, phase transitions, and chaos in
  optomechanical systems   A photonic analog of the Josephson effect is analyzed for a system formed by
a partly transparent mechanical membrane dividing an optical cavity into two
halves. Photons tunneling between the two sub-cavities constitute the coherent
Jospehson current. The force acting upon the membrane due to the light pressure
induces a nonlinearity which results in a rich dynamical structure. For
example, contrary to standard bosonic Josephson systems, we encounter chaos. By
means of a mean-field approach we identify the various regimes and
corresponding phase diagram. At the short time scale, chaos is demonstrated to
prevent regular self-trapping, while for longer times a dissipation induced
self-trapping effect is possible.

6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom