Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Master-equation treatment of nonlinear optomechanical systems with
  optical loss   Open-system dynamics play a key role in the experimental and theoretical
study of cavity optomechanical systems. In many cases, the quantum Langevin
equations have enabled excellent models for optical decoherence, yet a
master-equation approach to the fully nonlinear optomechanical Hamiltonian has
thus far proven more elusive. To address this outstanding question and broaden
the mathematical tool set available, we derive a solution to the Lindblad
master equation that models optical decoherence for a system evolving with the
nonlinear optomechanical Hamiltonian. The method combines a Lie-algebra
solution to the unitary dynamics with a vectorization of the Lindblad equation,
and we demonstrate its applicability by considering the preparation of optical
cat states via the optomechanical nonlinearity in the presence of optical loss.
Our results provide a direct way of analytically assessing the impact of
optical decoherence on the optomechanical intracavity state.

18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
19
The categories of this paper are: eess
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph