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Vortex knots in a Bose-Einstein condensate

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.

Publication metadata

Author(s): Barenghi CF; Proment D; Onorato M

Publication type: Article

Publication status: Published

Journal: Physical Review E

Year: 2012

Volume: 85

Issue: 3

Print publication date: 19/03/2012

ISSN (print): 1539-3755

ISSN (electronic): 1550-2376

Publisher: American Physical Society


DOI: 10.1103/PhysRevE.85.036306


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