Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Steady-state phases of dissipative spin-1/2 XYZ model with frustrated
  interaction   We investigate the steady-state phases of the dissipative spin-1/2
$J_1$-$J_2$ XYZ model on a two-dimensional square lattice. We show the
next-nearest-neighboring interaction plays a crucial role in determining the
steady-state properties. By means of the Gutzwiller mean-field factorization,
we find the emergence of antiferromag-netic steady-state phases. The existence
of such antiferromagnetic steady-state phases in thermodynamic limit is
confirmed by the cluster mean-field analysis. Moreover, we find the evidence of
the limit cycle phase through the largest quantum Lyapunov exponent in small
cluster, and check the stability of the oscillation by calculating the averaged
oscillation amplitude up to $4\times4$ cluster mean-field approximation.

15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics