Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Phase Transitions and Heat Capacity in a two-atoms Bose-Hubbard
  Model   We show that a two-atoms Bose-Hubbard model exhibits three different phases
in the behavior of thermal entanglement in its parameter space. These phases
are demonstrated to be traceable back to the existence of quantum phase
transitions in the same system. Significant similarities between the behaviors
of thermal entanglement and heat capacity in the parameter space are brought to
light thus allowing to interpret the occurrence and the meaning of all these
three phases.

6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs