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

Proment, Davide, Onorato, Miguel and Barenghi, Carlo F. (2014) Torus quantum vortex knots in the Gross-Pitaevskii model for Bose-Einstein condensates. Journal of Physics: Conference Series, 544 (1). 012022. ISSN 1742-6588

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Abstract

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.

Item Type: Article
Additional Information: 9 pages, 7 figures
Uncontrolled Keywords: cond-mat.quant-gas,math.gt,nlin.ps,physics.flu-dyn
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Pure Connector
Date Deposited: 09 Jun 2014 13:36
Last Modified: 19 Mar 2020 02:27
URI: https://ueaeprints.uea.ac.uk/id/eprint/48629
DOI: 10.1088/1742-6596/544/1/012022

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