Rapid rotation of a Bose-Einstein condensate in a harmonic plus quartic trap

Journal Article · Sat Jan 01 04:00:00 EST 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.013605· OSTI ID:20650282

Fetter, Alexander L ^[1]; Jackson, B ^[2]; Stringari, S ^[2]

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1. Geballe Laboratory for Advanced Materials and Department of Physics and Department of Applied Physics, Stanford University, Stanford, California 94305-4045 (United States)
2. Dipartimento di Fisica, Universita di Trento and BEC-INFM, I-38050 Povo (Italy)

A two-dimensional rapidly rotating Bose-Einstein condensate in an anharmonic trap with quadratic and quartic radial confinement is studied analytically with the Thomas-Fermi approximation and numerically with the full time-independent Gross-Pitaevskii equation. The quartic trap potential allows the rotation speed {omega} to exceed the radial harmonic frequency {omega}{sub perpendicular}. In the regime {omega} > or approx. {omega}{sub perpendicular}, the condensate contains a dense vortex array (approximated as solid-body rotation for the analytical studies). At a critical angular velocity {omega}{sub h}, a central hole appears in the condensate. Numerical studies confirm the predicted value of {omega}{sub h}, even for interaction parameters that are not in the Thomas-Fermi limit. The behavior is also investigated at larger angular velocities, where the system is expected to undergo a transition to a giant vortex (with pure irrotational flow)

• OSTI ID: 20650282
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 71; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANGULAR VELOCITY
BOSE-EINSTEIN CONDENSATION
CONFINEMENT
HOLES
NUMERICAL ANALYSIS
POTENTIALS
ROTATION
THOMAS-FERMI MODEL
TRAPS
TWO-DIMENSIONAL CALCULATIONS
VORTICES
WAVE EQUATIONS