Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dissipation-induced instabilities of a spinor Bose-Einstein condensate
  inside an optical cavity   We investigate the dynamics of a spinor Bose-Einstein condensate inside an
optical cavity, driven transversely by a laser with a controllable polarization
angle. We focus on a two-component Dicke model with complex light-matter
couplings, in the presence of photon losses. We calculate the steady-state
phase diagram and find dynamical instabilities in the form of limit cycles,
heralded by the presence of exceptional points and level attraction. We show
that the instabilities are induced by dissipative processes which generate
non-reciprocal couplings between the two collective spins. Our predictions can
be readily tested in state-of-the-art experiments and open up the study of
non-reciprocal many-body dynamics out of equilibrium.

14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math