Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Super-radiant phase transition in superconducting circuit in thermal
  equilibrium   We propose a superconducting circuit that shows a super-radiant phase
transition (SRPT) in the thermal equilibrium. The existence of the SRPT is
confirmed analytically in the limit of an infinite number of artificial atoms.
We also perform numerical diagonalization of the Hamiltonian with a finite
number of atoms and observe an asymptotic behavior approaching the infinite
limit as the number of atoms increases. The SRPT can also be interpreted
intuitively in a classical analysis.

11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph