Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Norm preserving stochastic field equation for an ideal Bose gas in a
  trap: numerical implementation and applications   Stochastic field equations represent a powerful tool to describe the thermal
state of a trapped Bose gas. Often, such approaches are confronted with the old
problem of an ultraviolet catastrophe, which demands a cutoff at high energies.
In [arXiv:0809.1002, Phys. B 42, 081001 (2009)] we introduce a quantum
stochastic field equation, avoiding the cutoff problem through a fully quantum
approach based on the Glauber-Sudarshan P-function. For a close link to actual
experimental setups the theory is formulated for a fixed particle number and
thus based on the canonical ensemble. In this work the derivation and the
non-trivial numerical implementation of the equation is explained in detail. We
present applications for finite Bose gases trapped in a variety of potentials
and show results for ground state occupation numbers and their equilibrium
fluctuations. Moreover, we investigate spatial coherence properties by studying
correlation functions of various orders.

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The categories of this paper are: gr-qc
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The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: math
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
17
The categories of this paper are: q-fin