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

Full text not available from this repository. (Request a copy)


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
UEA Research Groups: Faculty of Science > Research Groups > Quantum Fluids
Faculty of Science > Research Groups > Centre for Photonics and Quantum Science
Depositing User: Davide Proment
Date Deposited: 07 May 2013 13:31
Last Modified: 09 Feb 2023 13:33
URI: https://ueaeprints.uea.ac.uk/id/eprint/41935
DOI: 10.1103/PhysRevE.85.036306

Actions (login required)

View Item View Item