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

Amandine Aftalion·Qiang Du
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Abstract

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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Amandine Aftalion, Qiang Du. 2001-03-14. Bose-Einstein condensate: critical velocities and energy diagrams in the Thomas-Fermi regime. https://doi.org/10.1103/physreva.64.063603

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