Three-dimensional vortex structure of a fast rotating Bose-Einstein condensate with harmonic-plus-quartic confinement

Journal Article · Fri Jul 15 04:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.72.013605· OSTI ID:20718397

Danaila, Ionut ^[1]

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1. Laboratoire Jacques-Louis Lions, Universite Paris 6, 175 rue du Chevaleret, 75013 Paris (France)

We address the challenging proposition of using real experimental parameters in a three-dimensional (3D) numerical simulation of fast rotating Bose-Einstein condensates. We simulate recent experiments [V. Bretin, S. Stock, Y. Seurin, and J. Dalibard, Phys. Rev. Lett. 92, 050403 (2004); S. Stock, V. Bretin, S. Stock, F. Chevy, and J. Dalibard, Europhys. Lett. 65, 594 (2004)] using an anharmonic (quadratic-plus-quartic) confining potential to reach rotation frequencies ({omega}) above the trap frequency ({omega}{sub perpendicular}). Our numerical results are obtained by propagating the 3D Gross-Pitaevskii equation in imaginary time. For {omega}{<=}{omega}{sub perpendicular}, we obtain an equilibrium vortex lattice similar (as the size and number of vortices) to experimental observations. For {omega}>{omega}{sub perpendicular} we observe the evolution of the vortex lattice into an array of vortices with a central hole. Since this evolution was not visible in experiments, we investigate the 3D structure of vortex configurations and 3D effects on vortex contrast. Numerical data are also compared to recent theory [D. E. Sheehy and L. Radzihovsky, Phys. Rev. A 70, 063620 (2004)] describing vortex lattice inhomogeneities and a remarkably good agreement is found.

• OSTI ID: 20718397
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 72; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN CONDENSATION
COMPUTERIZED SIMULATION
EQUILIBRIUM
NUMERICAL DATA
POTENTIALS
ROTATION
THREE-DIMENSIONAL CALCULATIONS
TRAPS
VORTICES
WAVE EQUATIONS