Lowest Landau Level vortex structure of a Bose-Einstein condensate rotating in a harmonic plus quartic trap

Details Lowest Landau Level vortex structure of a Bose-Einstein condensate rotating in a harmonic plus quartic trap Lowest Landau Level vortex structure of a Bose-Einstein condensate rotating in a harmonic plus quartic trap

2008-01-23

arxiv.org/abs/0801.3571v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, 4 figures

Scientific paper

10.1103/PhysRevA.77.053615

We investigate the vortex patterns appearing in a two-dimensional annular Bose-Einstein condensate rotating in a quadratic plus quartic confining potential. We show that in the limit of small anharmonicity the Gross-Pitaevskii energy can be minimized amongst the Lowest Landau Level wave functions and use this particular form to get theoretical results in the spirit of [A. Aftalion X. Blanc F. Nier, Phys. Rev. A 73, 011601(R) (2006)]. In particular, we show that the vortex pattern is infinite but not uniform. We also compute numerically the complete vortex structure: it is an Abrikosov lattice strongly distorted near the edges of the condensate with multiply quantized vortices appearing at the center of the trap.

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