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We investigate the vortex patterns appearing in a two-dimensional annularBose-Einstein condensate rotating in a quadratic plus quartic confiningpotential. We show that in the limit of small anharmonicity theGross-Pitaevskii energy can be minimized amongst the Lowest Landau Level wavefunctions and use this particular form to get theoretical results in the spiritof [A. Aftalion X. Blanc F. Nier, Phys. Rev. A 73, 011601(R) (2006)]. Inparticular, we show that the vortex pattern is infinite but not uniform. Wealso compute numerically the complete vortex structure: it is an Abrikosovlattice strongly distorted near the edges of the condensate with multiplyquantized vortices appearing at the center of the trap.

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