Collective dynamics of vortices in trapped Bose-Einstein condensates

Abstract

We have calculated collective mode spectra for three-dimensional, rotating Bose-Einstein condensates in oblate harmonic traps using the microscopic Bogoliubov-deGennes field theory. For condensates with $N_v$ vortices, $N_v$ Kelvin-Tkachenko mode branches are obtained. The features of these modes are compared with those predicted by a classical point vortex model. We have created movies to visualize the motion of the vortices corresponding to the Kelvin-Tkachenko waves.

8 pages, 7 figures, 62 movies: http://pra.aps.org/supplemental/PRA/v87/i2/e023630

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• Kelvin waves in nonequilibrium universal dynamics of relativistic scalar field theories
• Excitation spectrum of vortex-lattice modes in a rotating condensate with a density-dependent gauge potential