Vortex structures in rotating Bose-Einstein condensates

Abstract

We present an analytical solution for the vortex lattice in a rapidly rotating trapped Bose-Einstein condensate (BEC) in the lowest Landau level and discuss deviations from the Thomas-Fermi density profile. This solution is exact in the limit of a large number of vortices and is obtained for the cases of circularly symmetric and narrow channel geometries. The latter is realized when the trapping frequencies in the plane perpendicular to the rotation axis are different from each other and the rotation frequency is equal to the smallest of them. This leads to the cancelation of the trapping potential in the direction of the weaker confinement and makes the system infinitely elongated in this direction. For this case we calculate the phase diagram as a function of the interaction strength and rotation frequency and identify the order of quantum phase transitions between the states with a different number of vortex rows.

17 pages, 12 figures, with additions

References in corpus (3)

• Lowest Landau-level description of a Bose-Einstein condensate in a rapidly rotating anisotropic trap
• Fast rotating condensates in an asymmetric harmonic trap
• Exact results for the Spectra of Bosons and Fermions with Contact Interaction

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