Perturbative behaviour of a vortex in a trapped Bose-Einstein condensate
Quantum Gases
2013-05-30 v1
Abstract
We derive a set of equations that describe the shape and behaviour 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 corrects a previous similar derivation by Anatoly A. Svidzinsky and Alexander L. Fetter [Phys. Rev. A \textbf{62}, 063617 (2000)], and enables a comparison with recent numerical results.
Cite
@article{arxiv.1202.6449,
title = {Perturbative behaviour of a vortex in a trapped Bose-Einstein condensate},
author = {Lyndon Koens and Andrew M. Martin},
journal= {arXiv preprint arXiv:1202.6449},
year = {2013}
}
Comments
12 pages with 3 figures