Torus quantum vortex knots in the Gross-Pitaevskii model for Bose-Einstein condensates

Davide Proment, Miguel Onorato, Carlo F. Barenghi

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We examine the static and dynamic properties of quantum knots in a Bose-Einstein condensate. In particular, we consider the Gross-Pitaevskii model and revise a technique to construct ab initio the condensate wave-function of a generic torus knot. After analysing its excitation energy, we study its dynamics, relating the topological parameter to its translational velocity and characteristic size. We also investigate the breaking mechanisms of non shape-preserving torus knots, confirming an evidence of universal decaying behaviour previously observed.
Original languageEnglish
Article number012022
Pages (from-to)012022
Number of pages9
JournalJournal of Physics: Conference Series
Issue number1
Publication statusPublished - 2014


  • cond-mat.quant-gas
  • math.GT
  • nlin.PS
  • physics.flu-dyn

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