Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Neutral Vortex Necklace in a Trapped Planar Superfluid

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 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Low Temperature Physics Springer Journals

Neutral Vortex Necklace in a Trapped Planar Superfluid

Loading next page...
 
/lp/springer-journals/neutral-vortex-necklace-in-a-trapped-planar-superfluid-MznvgCYQGV

References (6)

Publisher
Springer Journals
Copyright
Copyright © Springer Science+Business Media, LLC, part of Springer Nature 2021
ISSN
0022-2291
eISSN
1573-7357
DOI
10.1007/s10909-020-02547-7
Publisher site
See Article on Publisher Site

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.

Journal

Journal of Low Temperature PhysicsSpringer Journals

Published: Jan 7, 2021

There are no references for this article.