Vortex structures of rotating Bose-Einstein condensates in an anisotropic harmonic potential

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.033628· OSTI ID:21454794

Matveenko, S I ^[1]

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1. L.D. Landau Institute for Theoretical Physics, Kosygina Str. 2, 119334, Moscow (Russian Federation) and Laboratoire de Physique Theorique et Modeles Statistiques, Universite Paris-Sud, CNRS, 91405 Orsay (France)

We found an analytical solution for the vortex structure in a rapidly rotating trapped Bose-Einstein 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 quasi-one-dimensional 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 Thomas-Fermi inverted paraboloid form, except in the vicinity of edges of a condensate cloud.

• OSTI ID: 21454794
• Journal Information: Physical Review. A, Vol. 82, Issue 3; Other Information: DOI: 10.1103/PhysRevA.82.033628; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
ANISOTROPY
APPROXIMATIONS
ASYMMETRY
ATOMS
BOSE-EINSTEIN CONDENSATION
DENSITY
ENERGY LEVELS
HARMONIC POTENTIAL
ROTATION
THOMAS-FERMI MODEL
TRAPPING
TRAPS
VORTICES
ATOMIC MODELS
CALCULATION METHODS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MOTION
NUCLEAR POTENTIAL
PHYSICAL PROPERTIES
POTENTIALS