Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interacting 1D Chiral Fermions with Pairing: Transition from Integrable
  to Chaotic   We study a generic one-dimensonal quantum model of two flavors (pseudospins)
chiral complex fermions by exact diagonalization, which can have local
interflavor interaction and superconducting pairings (with all irrelevant terms
ignored). Analytically, the model has two solvable (integrable) points in the
parameter space: it is a free fermion model when the fermion interaction is
zero, and is a free boson Luttinger liquid when there is a global
U(1)$^{(\uparrow)}\times$U(1)$^{(\downarrow)}$ symmetry (with nonzero
interaction). When the global symmetry of the interacting model is lowered by
turning on symmetry breaking parameters, the model undergoes a transition from
a quantum integrable model to a fully quantum chaotic model, as we demonstrate
by examining the level spacing statistics (LSS) of the many-body energy
spectrum. In particular, there is a possibly integrable regime with
intermediate global symmetries, where the model is neither free bosons nor free
fermions, but shows Poisson LSS in each global symmetry charge sector. This
implies the existence of hidden (quasi)local conserved quantities. When the
global symmetries are further lowered, the LSS in each charge sector becomes
Wigner-Dyson, implying quantum chaos.

22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol