Vortex knots in a Bose-Einstein condensate

Davide Proment; Miguel Onorato; Carlo F. Barenghi

doi:10.1103/PhysRevE.85.036306

Vortex knots in a Bose-Einstein condensate

Davide Proment, Miguel Onorato, Carlo F. Barenghi

Research output: Contribution to journal › Article › peer-review

72 Citations (Scopus)

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.

Original language	English
Article number	036306
Journal	Physical Review E
Volume	85
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.85.036306
Publication status	Published - 2012

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10.1103/PhysRevE.85.036306

Cite this

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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.",

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AB - 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.

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