Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A continuous transition between fractional quantum Hall and superfluid
  states   We develop a theory of a direct, continuous quantum phase transition between
a bosonic Laughlin fractional quantum Hall (FQH) state and a superfluid,
generalizing the Mott insulator to superfluid phase diagram of bosons to allow
for the breaking of time-reversal symmetry. The direct transition can be
protected by a spatial symmetry, and the critical theory is a pair of Dirac
fermion fields coupled to an emergent Chern-Simons gauge field. The transition
may be achieved in optical traps of ultracold atoms by starting with a $\nu =
1/2$ bosonic Laughlin state and tuning an appropriate periodic potential to
change the topology of the composite fermion band structure.

16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics