Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical Effects in Population Dynamics of Trapped Bose-Einstein
  Condensates   The population dynamics of a trapped Bose-Einstein condensate, subject to the
action of an external field, is studied. This field produces a spatio-temporal
modulation of the trapping potential with the frequency close to the transition
frequency between the ground state and a higher energy level. For the evolution
equations of fractional populations, a critical line is found. It is
demonstrated that there exists a direct analogy between dynamical instability
at this line and critical phenomena at a critical line of an averaged system.
The related critical indices are calculated. The spatio-temporal evolution of
atomic density is analyzed.

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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: math
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg