Vortex structures of rotating BoseEinstein condensates in an anisotropic harmonic potential
Abstract
We found an analytical solution for the vortex structure in a rapidly rotating trapped BoseEinstein condensate in the lowest Landau level approximation. This solution is exact in the limit of a large number of vortices and is obtained for the case of a condensate in a anisotropic harmonic potential. The solution describes as limiting cases both a triangle vortex lattice in the symmetric potential trap and a quasionedimensional structure of vortex rows in an asymmetric case, when the rotation frequency is very close to the lower trapping potential frequency. The shape of the density profile is found to be close to the ThomasFermi inverted paraboloid form, except in the vicinity of edges of a condensate cloud.
 Publication:

Physical Review A
 Pub Date:
 September 2010
 DOI:
 10.1103/PhysRevA.82.033628
 arXiv:
 arXiv:1004.3896
 Bibcode:
 2010PhRvA..82c3628M
 Keywords:

 03.75.Lm;
 05.30.Jp;
 74.25.Uv;
 Tunneling Josephson effect BoseEinstein condensates in periodic potentials solitons vortices and topological excitations;
 Boson systems;
 Condensed Matter  Quantum Gases
 EPrint:
 7 pages, 3 figures