Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The effect of $SU(2)$ symmetry on many-body localization and
  thermalization   The many-body localized (MBL) phase is characterized by a complete set of
quasi-local integrals of motion and area-law entanglement of excited
eigenstates. We study the effect of non-Abelian continuous symmetries on MBL,
considering the case of $SU(2)$ symmetric disordered spin chains. The $SU(2)$
symmetry imposes strong constraints on the entanglement structure of the
eigenstates, precluding conventional MBL. We construct a fixed-point
Hamiltonian, which realizes a non-ergodic (but non-MBL) phase characterized by
eigenstates having logarithmic scaling of entanglement with the system size, as
well as an incomplete set of quasi-local integrals of motion. We study the
response of such a phase to local symmetric perturbations, finding that even
weak perturbations induce multi-spin resonances. We conclude that the
non-ergodic phase is generally unstable and that $SU(2)$ symmetry implies
thermalization. The approach introduced in this work can be used to study
dynamics in disordered systems with non-Abelian symmetries, and provides a
starting point for searching non-ergodic phases beyond conventional MBL.

30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph