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Article Dans Une Revue Physical Review A : Atomic, molecular, and optical physics [1990-2015] Année : 2001

Bose-Einstein condensate: critical velocities and energy diagrams in the Thomas-Fermi regime

Amandine Aftalion
Qiang Du
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-00008645 , version 1 (13-09-2005)

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Amandine Aftalion, Qiang Du. Bose-Einstein condensate: critical velocities and energy diagrams in the Thomas-Fermi regime. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2001, 64, pp.063603. ⟨10.1103/PhysRevA.64.063603⟩. ⟨hal-00008645⟩
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