Phys. Rev. A 71, 023611 (2005) [11 pages]Vortex patterns in a fast rotating Bose-Einstein condensateReceived 25 October 2004; published 25 February 2005 For a fast rotating condensate in a harmonic trap, we investigate the structure of the vortex lattice using wave functions minimizing the Gross-Pitaevskii energy in the lowest Landau level. We find that the minimizer of the energy in the rotating frame has a distorted vortex lattice for which we plot the typical distribution. We compute analytically the energy of an infinite regular lattice and of a class of distorted lattices. We find the optimal distortion and relate it to the decay of the wave function. Finally, we generalize our method to other trapping potentials. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.71.023611
DOI:
10.1103/PhysRevA.71.023611
PACS:
03.75.Lm, 05.30.Jp
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