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

Details Perturbative behaviour of a vortex in a trapped Bose-Einstein condensate Perturbative behaviour of a vortex in a trapped Bose-Einstein condensate

2012-02-29

arxiv.org/abs/1202.6449v1

Physics

Condensed Matter

Quantum Gases

12 pages with 3 figures

Scientific paper

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.

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