Vortex knots in a Bose-Einstein condensate

Davide Proment, Miguel Onorato, Carlo F. Barenghi

Research output: Contribution to journalArticlepeer-review

73 Citations (Scopus)


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 languageEnglish
Article number036306
JournalPhysical Review E
Issue number3
Publication statusPublished - 2012

Cite this