Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lindblad dynamics of Gaussian states and their superpositions in the
  semiclassical limit   The time evolution of the Wigner function for Gaussian states generated by
Lindblad quantum dynamics is investigated in the semiclassical limit. A new
type of phase-space dynamics is obtained for the centre of a Gaussian Wigner
function, where the Lindblad terms generally introduce a non-Hamiltonian flow.
In addition to this, the Gaussian approximation yields dynamical equations for
the covariances. The approximation becomes exact for linear Lindblad operators
and a quadratic Hamiltonian. By viewing the Wigner function as a wave function
on a coordinate space of doubled dimension, and the phase-space Lindblad
equation as a Schr\"{o}dinger equation with a non-Hermitian Hamiltonian, a
further set of semiclassical equations are derived. These are capable of
describing the interference terms in Wigner functions arising in superpositions
of Gaussian states, as demonstrated for a cat state in an anharmonic oscillator
subject to damping.

31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat