Symmetry Breaking of Vortex Patterns in a Rotating Harmonic Potential

Abstract

We numerically study the symmetry breaking instabilities of vortex patterns in a rotating harmonic potential using a type of Ginzburg-Landau equation. The configurations of vortex lattices change markedly by the symmetry-breaking instabilities, and then, some vortices move away from the confinement potential, which leads to the annihilation of vortices. The symmetry-breaking instabilities and the instabilities of vortex nucleation determine the parameter region of stable vortex patterns. We verify that the symmetry-breaking instabilities also occur in a type of complex Ginzburg-Landau equation.

10 pages, 9 figures

References in corpus (8)

• Vortices in a Bose-Einstein Condensate
• Collective excitations of a trapped Bose-condensed gas
• Vortex lattice formation in a rotating Bose-Einstein condensate
• Preparing Topological States of a Bose-Einstein Condensate
• Bose-Einstein Condensates with Large Number of Vortices
• Tkachenko modes of vortex lattices in rapidly rotating Bose-Einstein condensates
• Landau levels and the Thomas-Fermi structure of rapidly rotating Bose-Einstein condensates
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Cited by in corpus (6)

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• Localized matter-waves patterns with attractive interaction in rotating potentials
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• Melting Transition of Vortex Lattice in Point Vortex Systems
• Soliton lattices in the Gross-Pitaevskii equation with nonlocal and repulsive coupling