Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unusual wave-packet spreading and entanglement dynamics in non-Hermitian
  disordered many-body systems   Non-Hermiticity and dephasing, collaborating in an unusual wave packet
dynamics, realizes unconventional entanglement evolution in a disordered,
interacting and asymmetric (non-reciprocal) quantum medium. Taking the
Hatano-Nelson model as a concrete example, we first consider how wave packet
spreads in a non-Hermitian disordered system for demonstraing that it is very
different from the Hermitian case. Interestingly, a cascade like wave packet
spreading as in the Hermitian case is suppressed in the clean limit and at weak
disorder, while it revives in the vicinity of the localization-delocalization
transition. Based on this observation, we then analyze how the entanglement
entropy of the system evolves in the interacting non-Hermitian model, revealing
its non-monotonic evolution in time. We clarify the different roles of
dephasing in the time evolution of entanglement entropy in Hermitian and
non-Hermitian systems, and show that the many-body dynamics is governed by a
principle different from the Hermitian case. The size dependence of the results
suggests with the increase of disorder, a unusual area-volume-area law
crossover of the maximal entanglement entropy. To analyze the effects of
disorder on a firm basis, using the Hermitian limit as a benchmark, we employ a
quasi-periodic disorder (Aubry-Andr\'{e} model) in the analyses.

3
The categories of this paper are: physics
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc