Vortex knots in a Bose-Einstein condensate

Proment, Davide ORCID: https://orcid.org/0000-0002-9472-0097, Onorato, Miguel and Barenghi, Carlo F. (2012) Vortex knots in a Bose-Einstein condensate. Physical Review E, 85 (3). ISSN 1539-3755

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Abstract

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.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Davide Proment
Date Deposited: 07 May 2013 13:31
Last Modified: 18 Nov 2022 17:30
URI: https://ueaeprints.uea.ac.uk/id/eprint/41935
DOI: 10.1103/PhysRevE.85.036306

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