Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in
  open systems   We investigate the roles of non-Hermitian topology in spectral properties and
entanglement structures of open systems. In terms of spectral theory, we give a
unified understanding of two interpretations of non-Hermitian topology: quantum
anomaly and non-Hermitian skin effects, in which the bulk spectra extremely
depend on the boundary conditions. In this context, the fact that the intrinsic
higher-dimensional skin effects under the full open boundary condition need the
presence of the topological defects is understood in terms of the anomalous
fermion production such as the Rubakov-Callan effect in the presence of the
magnetic monopole. In terms of the entanglement structure, we investigate
steady states of fermionic open systems whose Liouvillian (rapidity) spectra
host non-Hermitian topology. We analyze dissipation-driven Majorana steady
states in zero-dimensional open systems and relate them to the Majorana edge
modes of topological superconductors by using the entanglement entropy. We also
analyze a steady state of a one-dimensional open Fermi system with a
non-Hermitian topological spectrum and relate it to the chiral edge states of
the Chern insulator on the basis of the trace index defined from the
entanglement spectrum. These correspondences indicate that the entanglement
generates circular nonreciprocal currents under the periodic boundary condition
and the skin-effect voltage with fermion accumulation under the open boundary
condition. Finally, we discuss several related topics such as pseudospectral
behaviors of Liouvillian dynamics and skin effects in interacting systems.

9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg