Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interaction induced dynamical $\mathcal{PT}$ symmetry breaking in
  dissipative Fermi-Hubbard models   We investigate the dynamical properties of one-dimensional dissipative
Fermi-Hubbard models, which are described by the Lindblad master equations with
site-dependent jump operators. The corresponding non-Hermitian effective
Hamiltonians with pure loss terms possess parity-time ($\mathcal{PT}$) symmetry
if we compensate the system additionally an overall gain term. By solving the
two-site Lindblad equation with fixed dissipation exactly, we find that the
dynamics of rescaled density matrix shows an instability as the interaction
increases over a threshold, which can be equivalently described in the scheme
of non-Hermitian effective Hamiltonians. This instability is also observed in
multi-site systems and closely related to the $\mathcal{PT}$ symmetry breaking
accompanied by appearance of complex eigenvalues of the effective Hamiltonian.
Moreover, we unveil that the dynamical instability of the anti-ferromagnetic
Mott phase comes from the $\mathcal{PT}$ symmetry breaking in highly excited
bands, although the low-energy effective model of the non-Hermitian Hubbard
model in the strongly interacting regime is always Hermitian. We also provide a
quantitative estimation of the time for the observation of dynamical
$\mathcal{PT}$ symmetry breaking which could be probed in experiments.

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The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an