Neutral Vortex Necklace in a Trapped Planar Superfluid

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...

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Bibliographic Details
Published inJournal of low temperature physics Vol. 202; no. 3-4; pp. 310 - 328
Main Authors Cawte, M. M., Reeves, M. T., Bradley, A. S.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.02.2021
Springer Nature B.V
Subjects
Bose-Einstein condensates
Characterization and Evaluation of Materials
Computational fluid dynamics
Condensed Matter Physics
Fluid boundaries
Fluid flow
Fluids
Low temperature
Low temperature physics
Magnetic Materials
Magnetism
Metastable state
Perturbation
Physics
Physics and Astronomy
Quantum turbulence
Superfluidity
Vortices
Bose–Einstein condensate
Vortex
Superfluid
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Summary: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.
ISSN:0022-2291
1573-7357
DOI:10.1007/s10909-020-02547-7