Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational truncated Wigner approximation for weakly interacting Bose
  fields: Dynamics of coupled condensates   The truncated Wigner approximation is an established approach that describes
the dynamics of weakly interacting Bose gases beyond the mean-field level.
Although it allows a quantum field to be expressed by a stochastic c-number
field, the simulation of the time evolution is still very demanding for most
applications. Here, we develop a numerically inexpensive approximation by
decomposing the c-number field into a variational ansatz function and a
residual field. The dynamics of the ansatz function is described by a tractable
set of coupled ordinary stochastic differential equations for the respective
variational parameters. We investigate the non-equilibrium dynamics of a
three-dimensional Bose gas in a one-dimensional optical lattice with a
transverse isotropic harmonic confinement and neglect the influence of the
residual field. The accuracy and computational inexpensiveness of our method
are demonstrated by comparing its predictions to experimental data.

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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: math