Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximating Steady States in Equilibrium and Nonequilibrium
  Condensates   We obtain approximations for the time-independent Gross-Pitaevskii (GP) and
complex GP equation in two and three spatial dimensions by generalizing the
divergence-free WKB method. The results include an explicit expression of a
uniformly valid approximation for the condensate density of an ultracold Bose
gas confined in a harmonic trap that extends into the classically forbidden
region. This provides an accurate approximation of the condensate density that
includes healing effects at leading order that are missing in the widely
adopted Thomas-Fermi approximation. The results presented herein allow us to
formulate useful approximations to a range of experimental systems including
the equilibrium properties of a finite temperature Bose gas and the
steady-state properties of a 2D nonequilibrium condensate. Comparisons between
our asymptotic and numerical results for the conservative and
forced-dissipative forms of the GP equations as applied to these systems show
excellent agreement between the two sets of solutions thereby illustrating the
accuracy of these approximations.

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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin