Vortex structures in rotating Bose-Einstein condensates

Journal Article · Tue Dec 15 04:00:00 EST 2009 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.80.063621· OSTI ID:21352413

Matveenko, S I ^[1]; Kovrizhin, D ^[2]; Ouvry, S ^[3]; Shlyapnikov, G V ^[3]

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1. L.D. Landau Institute for Theoretical Physics, Kosygina Str. 2, 119334 Moscow (Russian Federation)
2. Theoretical Physics, Oxford University, 1 Keble Road, OX1 3NP Oxford (United Kingdom)
3. Laboratoire de Physique Theorique et Modeles Statistiques, Universite Paris Sud-CNRS, 91405 Orsay (France)

We present an analytical solution for the vortex lattice in a rapidly rotating trapped Bose-Einstein condensate in the lowest Landau level and discuss deviations from the Thomas-Fermi density profile. This solution is exact in the limit of a large number of vortices and is obtained for the cases of circularly symmetric and narrow channel geometries. The latter is realized when the trapping frequencies in the plane perpendicular to the rotation axis are different from each other and the rotation frequency is equal to the smallest of them. This leads to the cancellation of the trapping potential in the direction of the weaker confinement and makes the system infinitely elongated in this direction. For this case we calculate the phase diagram as a function of the interaction strength and rotation frequency and identify the order of quantum phase transitions between the states with a different number of vortex rows.

• OSTI ID: 21352413
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 80; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
ATOMIC MODELS
BOSE-EINSTEIN CONDENSATION
CONFINEMENT
DENSITY
DIAGRAMS
FUNCTIONS
GEOMETRY
INFORMATION
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MATHEMATICS
MOTION
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
ROTATION
THOMAS-FERMI MODEL
TRAPPING
VORTICES