Vortex lattice of a Bose-Einstein condensate in a rotating anisotropic trap

Journal Article · Sun Feb 01 04:00:00 EST 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.023618· OSTI ID:20640773

Oktel, M Oe ^[1]

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1. Department of Physics, Bilkent University, 06800 Ankara (Turkey)

We study the vortex lattices in a Bose-Einstein condensate in a rotating anisotropic harmonic trap. We first investigate the single-particle wave functions obtained by the exact solution of the problem and give simple expressions for these wave functions in the small anisotropy limit. Depending on the strength of the interactions, a few or a large number of vortices can be formed. In the limit of many vortices, we calculate the density profile of the cloud and show that the vortex lattice stays triangular. We also find that the vortex lattice planes align themselves with the weak axis of the external potential. For a small number of vortices, we numerically solve the Gross-Pitaevskii equation and find vortex configurations that are very different from the vortex configurations in an axisymmetric rotating trap.

• OSTI ID: 20640773
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 69; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ANISOTROPY
AXIAL SYMMETRY
BOSE-EINSTEIN CONDENSATION
DENSITY
EXACT SOLUTIONS
POTENTIALS
TRAPS
VORTICES
WAVE EQUATIONS
WAVE FUNCTIONS