Lowest Landau Level vortex structure of a Bose-Einstein condensate rotating in a harmonic plus quartic trap

We investigate the vortex patterns appearing in a two-dimensional annular Bose-Einstein condensate rotating in a quadratic plus quartic confining potential. We show that in the limit of small anharmonicity the Gross-Pitaevskii energy can be minimized amongst the Lowest Landau Level wave functions an...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2008-01
Main Authors: Blanc, X, Rougerie, N
Format: Article
Language:English
Subjects:
Anharmonicity
Condensates
Confining
Matter & antimatter
Quantum theory
Rotation
Vortices
Wave functions
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We investigate the vortex patterns appearing in a two-dimensional annular Bose-Einstein condensate rotating in a quadratic plus quartic confining potential. We show that in the limit of small anharmonicity the Gross-Pitaevskii energy can be minimized amongst the Lowest Landau Level wave functions and use this particular form to get theoretical results in the spirit of [A. Aftalion X. Blanc F. Nier, Phys. Rev. A 73, 011601(R) (2006)]. In particular, we show that the vortex pattern is infinite but not uniform. We also compute numerically the complete vortex structure: it is an Abrikosov lattice strongly distorted near the edges of the condensate with multiply quantized vortices appearing at the center of the trap.
ISSN:2331-8422
DOI:10.48550/arxiv.0801.3571