Vibrations of a columnar vortex in a trapped Bose-Einstein condensate

Koens, Lyndon; Simula, Tapio P.; Martin, Andrew M.

Abstract

We derive a governing equation for a Kelvin wave supported on a vortex line in a Bose-Einstein condensate, in a rotating cylindrically symmetric parabolic trap, where it is assumed that the shape of the vortex line is dominated by the properties of the condensate at the center of the trap. From this solution the Kelvin wave dispersion relation is determined. In the limit of an oblate trap and in the absence of longitudinal trapping our results are consistent with previous work. We show that the derived Kelvin wave dispersion in the general case is in quantitative agreement with numerical calculations of the Bogoliubov spectrum. © 2013 American Physical Society.

Citation

Koens, L., Simula, T. P., & Martin, A. M. (2013). Vibrations of a columnar vortex in a trapped Bose-Einstein condensate. Physical review. A, 87(6), Article 063614. https://doi.org/10.1103/PhysRevA.87.063614

• Journal Article Type: Article
• Publication Date: Jun 14, 2013
• Deposit Date: Jan 25, 2022
• Journal: Physical Review A - Atomic, Molecular, and Optical Physics
• Print ISSN: 1050-2947
• Electronic ISSN: 1094-1622
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 87
• Issue: 6
• Article Number: 063614
• DOI: https://doi.org/10.1103/PhysRevA.87.063614
• Public URL: https://hull-repository.worktribe.com/output/3916574