Quasi-stable quantum vortex knots and links in anisotropic harmonically trapped Bose-Einstein condensates
arXiv:1903.02042 · doi:10.1103/PhysRevA.99.063604
Abstract
Long-time existence of topologically nontrivial configurations of quantum vortices in the form of torus knots and links in trapped Bose-Einstein condensates is demonstrated numerically within the three-dimensional Gross-Pitaevskii equation with external anisotropic parabolic potential. We find out parametric domains near the trap anisotropy -- axial over planar frequency trapping ratio where the lifetime of such quasi-stationary rotating vortex structures is many hundreds of typical rotation times. This suggests the potential experimental observability of the structures. We quantify the relevant lifetimes as a function of the model parameters (e.g. ) and initial condition parameters of the knot profile.
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