Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical dynamical properties of a first-order dissipative phase
  transition   We theoretically investigate the critical properties of a single
driven-dissipative nonlinear photon mode. In a well-defined thermodynamical
limit of large excitation numbers, the exact quantum solution describes a
first-order phase transition in the regime where semiclassical theory predicts
optical bistability. We study the behavior of the complex spectral gap
associated with the Liouvillian superoperator of the corresponding master
equation. We show that in this limit the Liouvillian gap vanishes exponentially
and that the bimodality of the photon Wigner function disappears. The
connection between the considered thermodynamical limit of large photon numbers
for the single-mode cavity and the thermodynamical limit of many cavities for a
driven-dissipative Bose-Hubbard system is discussed.

32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an