Vortex knots in a Bose-Einstein condensate

Proment, Davide, 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 (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Quantum Fluids (former - to 2024) Faculty of Science > Research Groups > Centre for Photonics and Quantum Science Faculty of Science > Research Groups > Quantum Matter Faculty of Science > Research Groups > Numerical Simulation, Statistics & Data Science (former - to 2025)
Depositing User:	Davide Proment
Date Deposited:	07 May 2013 13:31
Last Modified:	28 Mar 2025 02:38
URI:	https://ueaeprints.uea.ac.uk/id/eprint/41935
DOI:	10.1103/PhysRevE.85.036306

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