Vortex patterns in a fast rotating Bose-Einstein condensate
Other Condensed Matter
2009-11-10 v1
Abstract
For a fast rotating condensate in a harmonic trap, we investigate the structure of the vortex lattice using wave functions minimizing the Gross Pitaveskii 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.
Cite
@article{arxiv.cond-mat/0410665,
title = {Vortex patterns in a fast rotating Bose-Einstein condensate},
author = {Amandine Aftalion and Xavier Blanc and Jean B. Dalibard},
journal= {arXiv preprint arXiv:cond-mat/0410665},
year = {2009}
}