Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical Study of the One-Dimensional Spin-Orbit Coupled System with
  SU(2)$\otimes$SU(2) Symmetry   We numerically study the SU(2)$\otimes$SU(2) symmetric spin-orbit coupled
model as a lower symmetric generalization of the SU(4) exchange model. On the
symmetric line with respect to the spin and orbit, our result shows the
essentially singular gap formation in consistent with the analytic approach,
which is different from the previous numerical calculation. Furthermore, we
find new critical phases around the SU(4) point, surrounding the previously
known gapless symmetric line. In these novel phases either spin or orbital
excitations around momentum $q=\pi$ form massless continua which split from the
excitations belonging to the $[2^2]$ irreducible representation at the SU(4)
point. On the critical symmetric line, the additional coupled spin-orbit
excitations around $q=\pi/2$ originating from [$2^11^2$] become critical, too.

16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex