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Lookup NU author(s): Professor Carlo Barenghi
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We present a method for numerically building a vortex knot state in the superfluid wave function of a Bose-Einstein condensate. We integrate in time the governing Gross-Pitaevskii equation to determine evolution and shape preservation of the two (topologically) simplest vortex knots which can be wrapped over a torus. We find that the velocity of a vortex knot depends on the ratio of poloidal and toroidal radius: for smaller ratio, the knot travels faster. Finally, we show how vortex knots break up into vortex rings.
Author(s): Barenghi CF; Proment D; Onorato M
Publication type: Article
Publication status: Published
Journal: Physical Review E
Print publication date: 19/03/2012
ISSN (print): 1539-3755
ISSN (electronic): 1550-2376
Publisher: American Physical Society
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