paper

Giant vortices in combined harmonic and quartic traps

arXiv:cond-mat/0309668 · doi:10.1103/PhysRevA.69.033608

Abstract

We consider a rotating Bose-Einstein condensate confined in combined harmonic and quartic traps, following recent experiments [V. Bretin, S. Stock, Y. Seurin and J. Dalibard, cond-mat/0307464]. We investigate numerically the behavior of the wave function which solves the three-dimensional Gross Pitaevskii equation. When the harmonic part of the potential is dominant, as the angular velocities increases, the vortex lattice evolves into a giant vortex. We also investigate a case not covered by the experiments or the previous numerical works: for strong quartic potentials, the giant vortex is obtained for lower , before the lattice is formed. We analyze in detail the three dimensional structure of vortices.

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