PMID: 22587179May 17, 2012Paper

Vortex knots in a Bose-Einstein condensate

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Davide PromentC F Barenghi

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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Citations

Jun 19, 2014·Nature Communications·Matthew C LevyMatthew G Baring
Nov 25, 2016·Scientific Reports·R HänninenH Salman
Mar 31, 2015·Scientific Reports·Christian E LaingDe Witt L Sumners
Apr 8, 2016·Scientific Reports·Xin Liu, Renzo L Ricca
May 10, 2017·Proceedings. Mathematical, Physical, and Engineering Sciences·Hayder Salman
Oct 30, 2012·Scientific Reports·Anton S DesyatnikovYuri S Kivshar
Mar 10, 2018·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Liang-Liang XuShi-Jie Yang
Oct 19, 2014·Proceedings of the National Academy of Sciences of the United States of America·Martin W ScheelerWilliam T M Irvine
Jun 13, 2018·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·N A VeretenovN N Rosanov
Aug 31, 2016·Physical Review. E·Hon Wai Lau, Jörn Davidsen
Apr 8, 2014·Proceedings of the National Academy of Sciences of the United States of America·Angela C WhiteVanderlei S Bagnato
Jan 13, 2018·Physical Review Letters·N A VeretenovN N Rosanov
Nov 9, 2019·Physical Review Letters·Seth MusserWilliam T M Irvine
Nov 23, 2019·Scientific Reports·Chiara Oberti, Renzo L Ricca
Oct 31, 2020·Physical Review Letters·Alberto VilloisGiorgio Krstulovic
Jul 26, 2014·Physical Review Letters·Thomas Machon, Gareth P Alexander
Sep 22, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Enzo Orlandini, Cristian Micheletti

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