Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic simulations of fermionic dynamics with phase-space
  representations   A Gaussian operator basis provides a means to formulate phase-space
simulations of the real- and imaginary-time evolution of quantum systems. Such
simulations are guaranteed to be exact while the underlying distribution
remains well-bounded, which defines a useful simulation time. We analyse the
application of the Gaussian phase-space representation to the dynamics of the
dissociation of an ultra-cold molecular gas. We show how the choice of mapping
to stochastic differential equations can be used to tailor the stochastic
behaviour, and thus the useful simulation time. In the phase-space approach, it
is only averages of stochastic trajectories that have a direct physical
meaning. Whether particular constants of the motion are satisfied by individual
trajectories depends on the choice of mapping, as we show in examples.

33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin