Collective dynamics of vortices in trapped Bose-Einstein condensates

TL;DR

This paper investigates the collective vortex dynamics in rotating Bose-Einstein condensates using microscopic theory, revealing multiple Kelvin-Tkachenko mode branches and visualizing vortex motions.

Contribution

It provides a detailed microscopic calculation of vortex collective modes and compares them with classical models, including visualizations of vortex wave motions.

Findings

Identification of Kelvin-Tkachenko mode branches for multiple vortices

Comparison between microscopic and classical vortex models

Visualization of vortex wave motions through movies

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.