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Perturbative behaviour of a vortex in a trapped Bose-Einstein condensate | | Lyndon Koens
; Andrew M. Martin
; | | Date: |
29 Feb 2012 | | 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 extbf{62}, 063617
(2000)], and enables a comparison with recent numerical results. | | Source: | arXiv, 1202.6449 | | Services: | Forum | Review | PDF | Favorites | |
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