Superfluid vortex dynamics on an ellipsoid and other surfaces of revolution
arXiv:2110.13560 · doi:10.1103/PhysRevA.105.023307
Abstract
We study the dynamics of quantized superfluid vortices on axisymmetric compact surfaces with no holes, where the total vortex charge must vanish and the condition of irrotational flow forbids distributed vorticity. A conformal transformation from the surface to the complex plane allows us to use familiar formalism to describe the motion of the quantized vortices and to find the total energy. The simplest case is a vortex dipole with unit vortex charges on an axisymmetric ellipsoid. We study two special symmetric vortex-dipole configurations along with a general asymmetric one.
11 pages, 6 figures
References in corpus (7)
- Ultracold atoms confined in rf-induced two-dimensional trapping potentials
- Observation of ultracold atomic bubbles in orbital microgravity
- A two-dimensional quantum gas in a magnetic trap
- Topological superfluid transition in bubble-trapped condensates
- Quantized superfluid vortex dynamics on cylindrical surfaces and planar annuli
- Superfluid Vortex Dynamics on Planar Sectors and Cones
- The N-Vortex Problem on a Symmetric Ellipsoid: A Perturbation Approach
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