Nonlinear dynamics of vortex lattice formation in a rotating Bose-Einstein condensate

Journal Article · Sat Mar 01 00:00:00 EST 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.67.033610· OSTI ID:20633875

Kasamatsu, Kenichi; Tsubota, Makoto; Ueda, Masahito ^[1]

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1. Department of Physics, Osaka City University, Sumiyoshi-Ku, Osaka 558-8585 (Japan)

We study the response of a trapped Bose-Einstein condensate to a sudden turn on of a rotating drive by numerically solving the two-dimensional Gross-Pitaevskii equation. A weakly anisotropic rotating potential excites a quadrupole shape oscillation and its time evolution is analyzed by a quasiparticle projection method. In a quadrupolar resonant regime, which depends on the trap anisotropy, simple periodic oscillations in surface-mode populations disappear and the system exhibits stochastic dynamics. In the presence of the phenomenological dissipation, an initially irrotational condensate is found to undergo damped elliptic deformation followed by unstable surface ripple excitations, some of which develop into quantized vortices that eventually form a lattice. Recent experimental results on the vortex nucleation should be explained not only by the dynamical instability but also by the Landau instability; the latter is necessary for the vortices to penetrate into the condensate.

• OSTI ID: 20633875
• Journal Information: Physical Review. A, Vol. 67, Issue 3; Other Information: DOI: 10.1103/PhysRevA.67.033610; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANISOTROPY
BOSE-EINSTEIN CONDENSATION
EVOLUTION
EXCITATION
INSTABILITY
NONLINEAR PROBLEMS
OSCILLATIONS
PERIODICITY
POTENTIALS
QUADRUPOLES
ROTATION
SURFACES
TRAPPING
TRAPS
TWO-DIMENSIONAL CALCULATIONS
VORTICES
WAVE EQUATIONS