Torus quantum vortex knots in the Gross-Pitaevskii model for Bose-Einstein condensates
arXiv:1307.7250 · doi:10.1088/1742-6596/544/1/012022
Abstract
We examine on the 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 investigate the breaking mechanisms of non shape-preserving torus knots confirming an evidence of universal decaying behaviour previously observed.
9 pages, 7 figures
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Cited by in corpus (10)
- A Vortex Filament Tracking Method for the Gross-Pitaevskii Model of a Superfluid
- Irreversible dynamics of vortex reconnections in quantum fluids
- Excitation of knotted vortex lines in matter waves
- Topological transition from superuid vortex rings to isolated knots and links
- Quasi-stable quantum vortex knots and links in anisotropic harmonically trapped Bose-Einstein condensates
- Linked and knotted synthetic magnetic fields
- Knotted trajectories of neutral and charged particles in Gaussian light beams
- Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links
- Curved vortex surfaces in four-dimensional superfluids: II. Equal-frequency double rotations
- Curved vortex surfaces in four-dimensional superfluids: I. Unequal-frequency double rotations