Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetry breaking bifurcation in Nonlinear Schrodinger /Gross-Pitaevskii
  Equations   We consider a class of nonlinear Schrodinger / Gross-Pitaveskii (NLS-GP)
equations, i.e. NLS with a linear potential. We obtain conditions for a
symmetry breaking bifurcation in a symmetric family of states as N, the squared
L^2 norm
  (particle number, optical power), is increased. In the special case where the
linear potential is a double-well with well separation L, we estimate N_{cr},
the symmetry breaking threshold.
  Along the ``lowest energy'' symmetric branch, there is an exchange of
stability from the symmetric to asymmetric branch as N is increased beyond
N_{cr}.

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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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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: chao-dyn