Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bose-Einstein condensate: critical velocities and energy diagrams in the
  Thomas-Fermi regime   For a Bose-Einstein condensate placed in a rotating trap and confined in the
z axis, we set a framework of study for the Gross-Pitaevskii energy in the
Thomas Fermi regime. We investigate an asymptotic development of the energy,
the critical velocities of nucleation of vortices with respect to a small
parameter $\ep$ and the location of vortices. The limit $\ep$ going to zero
corresponds to the Thomas Fermi regime. The non-dimensionalized energy is
similar to the Ginzburg-Landau energy for superconductors in the high-kappa
high-field limit and our estimates rely on techniques developed for this latter
problem. We also take the advantage of this similarity to develop a numerical
algorithm for computing the Bose-Einstein vortices. Numerical results and
energy diagrams are presented.

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The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat