Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monte Carlo simulation of quantum Potts model   Using Monte Carlo simulations in the frame of stochastic series expansion
(SSE), we study the three-state quantum Potts model. The cluster algorithm we
used is a direct generalization of that for the quantum Ising model. The
simulations include the one dimensional and two dimensional ferromagnetic
three-state quantum Potts model and the two dimensional antiferromagnetic
three-state quantum Potts model. Our results show that the phase transition of
the one dimensional ferromagnetic quantum Potts model belongs to the same
universality class of the two dimensional classical Potts model, the two
dimensional ferromagnetic quantum Potts model undergoes a first order
transition, which is also in analogy to its classical correspondence. The phase
transition of the antiferromagnetic quantum Potts model is continuous, whose
universality class belongs to the three-dimensional classical XY model, owing
to an `emergent' O(2) symmetry at the critical point, although its ordered
phase breaks the Z_6 symmetry.

27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
9
The categories of this paper are: nlin