Superfluid vortex dynamics on a torus and other toroidal surfaces of revolution
Quantum Gases
2020-05-11 v1
Abstract
The superfluid flow velocity is proportional to the gradient of the phase of the superfluid order parameter, leading to the quantization of circulation around a vortex core. In this work, we study the dynamics of a superfluid film on the surface of a torus. Such a compact surface allows only configurations of vortices with zero net vorticity. We derive analytic expressions for the flow field, the total energy, and the time-dependent dynamics of the vortex cores. The local curvature of the torus and the presence of non-contractable loops on this multiply connected surface alter both the superfluid flow and the vortex dynamics. Finally we consider more general surfaces of revolution, called toroids.
Keywords
Cite
@article{arxiv.1911.11794,
title = {Superfluid vortex dynamics on a torus and other toroidal surfaces of revolution},
author = {Nils-Eric Guenther and Pietro Massignan and Alexander L. Fetter},
journal= {arXiv preprint arXiv:1911.11794},
year = {2020}
}