Neutral vortex necklace in a trapped planar superfluid
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.
Cite
@article{arxiv.2009.03424,
title = {Neutral vortex necklace in a trapped planar superfluid},
author = {M. M. Cawte and M. T. Reeves and A. S. Bradley},
journal= {arXiv preprint arXiv:2009.03424},
year = {2021}
}
Comments
17 pages, 7 figures, JLTP format, comments welcome