Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum synchronization and correlations of two qutrits in a
  non-Markovian bath   We investigate quantum synchronization and correlations of two qutrits in one
non-Markovian environment using the hierarchy equation method. There is no
direct interaction between two qutrits and each qutrit interacts with the same
non-Markovian environment. The influence of the temperature of the bath,
correlation time, and coupling strength between qutrits and bath on the quantum
synchronzation and correlations of two qutrits are studied without the
Markovian, Born, and rotating wave approximations. We also discuss the
influence of dissipation and dephasing on the synchronization of two qutrits.
In the presence of dissipation, the phase locking between two qutrits without
any direct interaction can be achieved when each qutrit interacts with the
common bath. Two qutrits within one common bath can not be syncrhonized in the
purely dephasing case. In addition, the Arnold tongue can be significantly
broadened by decreasing the correlation time of two qutrits and bath.

22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph