Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact Bethe ansatz spectrum of a tight-binding chain with dephasing
  noise   We construct an exact map between a tight-binding model on any bipartite
lattice in presence of dephasing noise and a Hubbard model with imaginary
interaction strength. In one dimension, the exact many-body Liouvillian
spectrum can be obtained by application of the Bethe ansatz method. We find
that both the non-equilibrium steady state and the leading decay modes
describing the relaxation at late times are related to the eta-pairing symmetry
of the Hubbard model. We show that there is a remarkable relation between the
time-evolution of an arbitrary k-point correlation function in the dissipative
system and k-particle states of the corresponding Hubbard model.

16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess