Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The quantum behavior of general time dependent quadratic systems
  linearly coupled to a bath   In this paper we solve for the quantum propagator of a general time dependent
system quadratic in both position and momentum, linearly coupled to an infinite
bath of harmonic oscillators. We work in the regime where the quantum optical
master equation is valid. We map this master equation to a Schroedinger
equation on Super-Hilbert space and utilize Lie Algebraic techniques to solve
for the dynamics in this space. We then map back to the original Hilbert space
to obtain the solution of the quantum dynamics. The Lie Algebraic techniques
used are preferable to the standard Wei-Norman methods in that only coupled
systems of first order ordinary differential equations and purely algebraic
equations need only be solved. We look at two examples.

4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio