Neutral vortex necklace in a trapped planar superfluid
arXiv:2009.03424 · doi:10.1007/s10909-020-02547-7
Abstract
We study quantum vortex states consisting of a ring of vortices with alternating sign, in a homogeneous superfluid confined to a circular domain. We find an exact stationary solution of the point vortex model for the neutral vortex necklace. We investigate the stability of the necklace state within both the point-vortex model and the Gross-Pitaevskii equation describing a trapped atomic Bose-Einstein condensate at low temperature. The point-vortex stationary states are found to also be stationary states of the Gross-Pitaevskii equation provided the finite thickness of the outer fluid boundary is accounted for. Under significant perturbation, the Gross-Pitaevskii evolution and point-vortex model exhibit instability as expected for metastable states. The perturbed vortex necklace exhibits sensitivity to the perturbation, suggesting a route to seeding vortex chaos or quantum turbulence.
arXiv comment17 pages, 7 figures, JLTP format, comments welcome
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Cited by in corpus (4)
- Making ghost vortices visible in two-component Bose-Einstein condensates
- Massive superfluid vortices and vortex necklaces on a planar annulus
- Generation of high winding-number superfluid circulation in Bose-Einstein condensates
- Observation of self-patterned defect formation in atomic superfluids -- from ring dark solitons to vortex dipole necklaces