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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
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 |
| Depositing User: | Davide Proment |
| Date Deposited: | 07 May 2013 13:31 |
| Last Modified: | 07 Nov 2024 12:32 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/41935 |
| DOI: | 10.1103/PhysRevE.85.036306 |
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