Davide Proment, Miguel Onorato, Carlo F. Barenghi
We give an introduction on static and dynamical 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 report the breaking mechanisms of non shape-preserving torus knots confirming an evidence of universal decaying behaviour previously observed. Finally we draw the conclusions addressing open questions and listing future perspectives in this field.
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http://arxiv.org/abs/1307.7250
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