Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-organised Limit-Cycles, Chaos and Phase-Slippage with a Superfluid
  inside an Optical Resonator   We study dynamical phases of a driven Bose-Einstein condensate coupled to the
light field of a high-Q optical cavity. For high field seeking atoms at red
detuning the system is known to show a transition from a spatially homogeneous
steady-state to a self-organized regular lattice exhibiting super-radiant
scattering into the cavity. For blue atom pump detuning the particles are
repelled from the maxima of the light-induced optical potential suppressing
scattering. We show that this generates a new dynamical instability of the
self-ordered phase, leading to the appearance of self-ordered stable
limit-cycles characterized by large amplitude self-sustained oscillations of
both the condensate density and cavity field. The limit-cycles evolve into
chaotic behavior by period doubling. Large amplitude oscillations of the
condensate are accompanied by phase-slippage through soliton nucleation at a
rate which increases by orders of magnitude in the chaotic regime. Different
from a superfluid in a closed setup, this driven dissipative superfluid is not
destroyed by the proliferation of solitons since kinetic energy is removed
through cavity losses.

2
The categories of this paper are: math
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex