Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical study of the chiral $\mathbb{Z}_3$ quantum phase transition in
  one spatial dimension   Recent experiments on a one-dimensional chain of trapped alkali atoms
[arXiv:1707.04344] have observed a quantum transition associated with the onset
of period-3 ordering of pumped Rydberg states. This spontaneous $\mathbb{Z}_3$
symmetry breaking is described by a constrained model of hard-core bosons
proposed by Fendley $et\, \,al.$ [arXiv:cond-mat/0309438]. By symmetry
arguments, the transition is expected to be in the universality class of the
$\mathbb{Z}_3$ chiral clock model with parameters preserving both time-reversal
and spatial-inversion symmetries. We study the nature of the order-disorder
transition in these models, and numerically calculate its critical exponents
with exact diagonalization and density-matrix renormalization group techniques.
We use finite-size scaling to determine the dynamical critical exponent $z$ and
the correlation length exponent $\nu$. Our analysis presents the only known
instance of a strongly-coupled transition between gapped states with $z \ne 1$,
implying an underlying nonconformal critical field theory.

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The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th