Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetry protected topological phases beyond groups: The q-deformed
  bilinear-biquadratic spin chain   We study the phase diagram of the $SO_q(3)$ quantum group invariant spin-1
bilinear-biquadratic spin chain for real values of $q>1$. Numerical
computations suggest that the chain has at least three clearly distinguished
phases: A chiral analogue of the Haldane phase, a dimerized phase and a
ferromagnetic phase. In contrast, the counterpart of the extended critical
region that is known to exist for $q=1$ remains elusive. Our results show that
the Haldane phase fails to exhibit a two-fold degeneracy in the entanglement
spectrum but that the degeneracy is restored upon a suitable $q$-deformation of
the entanglement Hamiltonian which can be interpreted as a Zeeman field. The
structure of the phase diagram is confirmed through analytical calculations in
the extreme anisotropic limit $q\to\infty$. Our results suggest that symmetries
of the form $U_q[su(2)]$ for distinct choices of $q$ should be interpreted as
one single family instead of separate symmetries when defining SPT phases,
leading naturally to the notion of a qSPT phase.

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The categories of this paper are: hep-lat
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an