Giant vortices in combined harmonic and quartic traps

Journal Article · Mon Mar 01 04:00:00 EST 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.033608· OSTI ID:20640885

Aftalion, Amandine; Danaila, Ionut ^[1]

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

We consider a rotating Bose-Einstein condensate confined in combined harmonic and quartic traps, following recent experiments [V. Bretin, S. Stock, Y. Seurin, and J. Dalibard, Phys. Rev. Lett. 92, 050403 (2004)]. We investigate numerically the behavior of the wave function which solves the three-dimensional Gross Pitaevskii equation and analyze in detail the structure of vortices. For a quartic-plus-harmonic potential, as the angular velocity increases, the vortex lattice evolves into a vortex array with hole. The merging of vortices into the hole is highly three dimensional, starting from the top and bottom of the condensate to reach the center. We also investigate the case of a quartic-minus-harmonic potential, not covered by experiments or previous numerical works. For intermediate repulsive potentials, we show that the transition to a vortex array with hole takes place for lower angular velocities, when the lattice is made up of a small number of vortices. For the strong repulsive case, a transition from a giant vortex to a hole with a circle of vortices around is observed.

• OSTI ID: 20640885
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 69; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ANGULAR VELOCITY
BOSE-EINSTEIN CONDENSATION
HARMONIC POTENTIAL
HOLES
NUMERICAL ANALYSIS
THREE-DIMENSIONAL CALCULATIONS
TRAPS
VORTICES
WAVE EQUATIONS
WAVE FUNCTIONS