Vortex lattices in fast rotating Bose-Einstein condensates between the Thomas-Fermi and the lowest-Landau-level regimes

Journal Article · Wed Nov 15 04:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.74.055602· OSTI ID:20979357

Zhongzhou, Chen; Ma, C R; Yongli, Ma ^[1]

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1. Department of Physics, Fudan University, Shanghai 200433 (China)

We present an explicit analytical analysis of the ground state of vortex lattice structures, based on a minimization of the Gross-Pitaevskii energy functional in a fast rotating Bose-Einstein condensate between the Thomas-Fermi and the lowest-Landau-level regimes. By a Bogoliubov-like transformation we find that the coarse-grained average of the atomic density varies as [1-(x{sup 2}+y{sup 2})/R{sub perpendicular}{sup 2}]{sup 3/2} in the xy plane, and that the vortices form an almost regular triangular lattice. Our variational calculation is quantitatively and qualitatively consistent with recent analytical, numerical, and experimental data.

• OSTI ID: 20979357
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 74; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOGOLYUBOV TRANSFORMATION
BOSE-EINSTEIN CONDENSATION
DENSITY
GROUND STATES
MINIMIZATION
THOMAS-FERMI MODEL
VARIATIONAL METHODS
VORTICES