Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fermionic Stochastic Schr\"{o}dinger Equation and Master Equation: An
  Open System Model   This paper considers the extension of the non-Markovian stochastic approach
for quantum open systems strongly coupled to a fermionic bath, to the models in
which the system operators commute with the fermion bath. This technique can
also be a useful tool for studying open quantum systems coupled to a spin-chain
environment, which can be further transformed into an effective fermionic bath.
We derive an exact stochastic Schr\"{o}dinger equation (SSE), called fermionic
quantum state diffusion (QSD) equation, from the first principle by using the
fermionic coherent state representation. The reduced density operator for the
open system can be recovered from the average of the solutions to the QSD
equation over the Grassmann-type noise. By employing the exact fermionic QSD
equation, we can derive the corresponding exact master equation. The power of
our approach is illustrated by the applications of our stochastic approach to
several models of interest including the one-qubit dissipative model, the
coupled two-qubit dissipative model, the quantum Brownian motion model and the
N-fermion model coupled to a fermionic bath. Different effects caused by the
fermionic and bosonic baths on the dynamics of open systems are also discussed.

20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg