Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-equilibrium stationary states of quantum non-Hermitian lattice
  models   We show how generic non-Hermitian tight-binding lattice models can be
realized in an unconditional, quantum-mechanically consistent manner by
constructing an appropriate open quantum system. We focus on the quantum steady
states of such models for both fermionic and bosonic systems. Surprisingly, key
features and spatial structures in the steady state cannot be simply understood
from the non-Hermitian Hamiltonian alone. Using the 1D Hatano-Nelson model as a
paradigmatic example, we show that the steady state has a marked sensitivity to
boundary conditions. This dependence however is qualitatively and
quantitatively distinct from the non-Hermitian skin effect, and has no simple
connection to non-Hermitian topology. Further, particle statistics play an
unexpected role: the steady-state density profile is dramatically different for
fermions versus bosons. Our work highlights the key role of fluctuations in
quantum realizations of non-Hermitian dynamics, and provides a starting point
for future work on engineered steady states of open quantum systems.

28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg