Instabilities of vortex-ring-bright soliton in trapped binary 3D Bose-Einstein condensates
arXiv:2109.08592 · doi:10.1103/PhysRevA.105.013319
Abstract
Instabilities of vortex-ring-bright coherent structures in harmonically trapped two-component three-dimensional Bose-Einstein condensates are studied numerically within the coupled Gross-Pitaevskii equations and interpreted analytically. Interestingly, the filled vortex core with a sufficiently large amount of the bright component is observed to reduce the parametric interval of stability of the vortex ring. We have identified the mechanisms of several linear instabilities and one nonlinear parametric instability in this connection. Two of the linear instabilities are qualitatively different from ones reported earlier, to our knowledge, and are associated with azimuthal modes of and , i.e., deviations of the vortex from the stationary ring shape. Our nonlinear parametric resonance instability occurs between the and modes and signals the exchange of energy between them.
arXiv comment16 pages, 8 figures
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