Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Density-Matrix approach to a Strongly Coupled Two-Component
  Bose-Einstein Condensate   The time evolution equations for average values of population and relative
phase of a strongly coupled two component BEC is derived analytically. The two
components are two hyper-fine states coupled by an external laser that drives
fast Rabi oscillations between these states. Specifically, this derivation
incorporates the two-mode model proposed in [1] for the strongly coupled
hyper-fine states of Rb. The fast Rabi cycle is averaged out and rate equations
are derived that represents the slow dynamics of the system. These include the
collapse and revival of Rabi oscillations and their subsequent dependence on
detuning and trap displacement as reported in experiments of [1]. A proposal to
create stable vortices is also given.

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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex