Vortex knots in a Bose-Einstein condensate
Fluid Dynamics
2012-03-22 v1 Quantum Gases
Pattern Formation and Solitons
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 stability 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 unstable vortex knots break up into vortex rings.
Cite
@article{arxiv.1110.5757,
title = {Vortex knots in a Bose-Einstein condensate},
author = {Davide Proment and Miguel Onorato and Carlo F. Barenghi},
journal= {arXiv preprint arXiv:1110.5757},
year = {2012}
}
Comments
18 pages, 15 figures, 1 table