Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum phase transitions between bosonic symmetry protected topological
  phases in two dimensions: emergent $QED_3$ and anyon superfluid   Inspired by Chern-Simons effective theory description of symmetry protected
topological (SPT) phases in two dimensions, we present a projective
construction for many-body wavefunctions of SPT phases. Using this projective
construction we can systematically write down trial wavefunctions of SPT phases
on a lattice. An explicit example of SPT phase with $U(1)$ symmetry is
constructed for two types of bosons with filling $\nu_{b_1}=\nu_{b_2}=\frac12$
per site on square lattice. We study continuous phase transitions between
different $U(1)$-SPT phases based on projective construction. The effective
theory around the critical point is emergent $QED_3$ with fermion number
$N_f=2$. Such a continuous phase transition however needs fine tuning, and in
general there are intermediate phases between different $U(1)$-SPT phases. We
show that such an intermediate phase has the same response as an anyon
superconductor, and hence dub it "anyon superfluid". A schematic phase diagram
of interacting bosons with $U(1)$ symmetry is depicted.

22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
9
The categories of this paper are: nlin