Perturbative behavior of a vortex in a trapped Bose-Einstein condensate

Martin, Andrew M.; Koens, Lyndon; Martin, Andrew M

Abstract

We derive a set of equations that describes the shape and behavior of a single perturbed vortex line in a Bose-Einstein condensate. Through the use of a matched asymptotic expansion and a unique coordinate transform, a relation for a vortex's velocity, anywhere along the line, is found in terms of the trapping, rotation, and distortion of the line at that location. This relation is then used to find a set of differential equations that give the line's specific shape and motion. This work extends a previous similar derivation by Svidzinsky and Fetter, and enables a comparison with recent numerical results. © 2012 American Physical Society.

Citation

Martin, A. M., Koens, L., & Martin, A. M. (2012). Perturbative behavior of a vortex in a trapped Bose-Einstein condensate. Physical review. A, 86(1), Article 013605. https://doi.org/10.1103/PhysRevA.86.013605

• Journal Article Type: Article
• Online Publication Date: Jul 5, 2012
• Publication Date: 2012-07
• 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: 86
• Issue: 1
• Article Number: 013605
• DOI: https://doi.org/10.1103/PhysRevA.86.013605
• Public URL: https://hull-repository.worktribe.com/output/3916567