Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chiral waveguide optomechanics: first order quantum phase transitions
  with $\mathbb{Z}_3$ symmetry breaking/   We present a direct mapping between the quantum optomechanical problem of the
atoms harmonically trapped in the vicinity of a chiral waveguide and a
generalized quantum Rabi model and discuss the analogy between the
self-organization of atomic chains in photonic structures and Dicke-like
quantum phase transitions in the ultrastrong coupling regime. We extend the
class of the superradiant phase transitions for the systems possessing
$\mathbb{Z}_3$ rather than parity $\mathbb{Z}_2$ symmetry and demonstrate the
emergence of the multicomponent Schrodinger cat ground states in these systems.

26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph