Vortex knots in a Bose-Einstein condensate
arXiv:1110.5757 · doi:10.1103/PhysRevE.85.036306
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.
18 pages, 15 figures, 1 table
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