Oscillations of a rapidly rotating annular Bose-Einstein condensate

TL;DR

This paper uses a variational approach to analyze the oscillations of a giant vortex in a rapidly rotating Bose-Einstein condensate, aligning theoretical predictions with experimental observations.

Contribution

It introduces a time-dependent variational Lagrangian method based on the Gross-Pitaevskii functional to study vortex dynamics in rotating condensates.

Findings

Oscillation frequencies match experimental trends

Theoretical values are smaller than experimental by 0.6-0.8

Provides insight into vortex core dynamics

Abstract

A time-dependent variational Lagrangian analysis based on the Gross-Pitaevskii energy functional serves to study the dynamics of a metastable giant vortex in a rapidly rotating Bose-Einstein condensate. The resulting oscillation frequencies of the core radius reproduce the trends seen in recent experiments [Engels et al., Phys. Rev. Lett. 90, 170405 (2003)], but the theoretical values are smaller by a factor approximately 0.6-0.8.