Superfluid vortex dynamics on a spherical film
arXiv:2101.06672 · doi:10.1103/PhysRevA.105.023307
Abstract
Motivated by ongoing experimental efforts to make closed Bose-Einstein condensate (BEC) shells in microgravity environments, this work studies the energy and dynamics of singly quantized vortices on a thin spherical superfluid shell, where the overall vortex charge must vanish (as on any compact surface). For each vortex, stereographic projection yields the corresponding complex potential on the tangent plane. The resulting stream function then provides both the total energy and the dynamics of a system of overall neutral vortices on a spherical film. Although a single vortex dipole follows a simple dynamical orbit, four vortices can present a variety of situations. We study a few symmetric initial configurations and then focus on the special case of two small vortex dipoles.
9 pages, 4 figures
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- Triangular vortex lattices and giant vortices in rotating bubble Bose-Einstein condensates
- Colloquium: Synthetic quantum matter in non-standard geometries
- Rossby-Haurwitz wave in a rotating bubble-shaped Bose-Einstein condensate
- Massive-vortex realization of a Bosonic Josephson Junction
- Hydrodynamics of Quantum Vortices on a Closed Surface
- Quantum Vortices in Curved Geometries
- Faraday waves on a bubble Bose-Einstein condensed binary mixture
- Bose-Einstein condensates and the thin-shell limit in anisotropic bubble traps
- Non-relativistic transport from frame-indifferent kinetic theory
- Expansion dynamics of a cylindrical-shell-shaped strongly dipolar condensate
- All-optical bubble trap for ultracold atoms in microgravity
- Onsager vortex clusters on a sphere
- Synthetic half-integer magnetic monopole and single-vortex dynamics in spherical Bose-Einstein condensates
- Distributed vorticity model for vortex molecule dynamics
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- Conformal maps and superfluid vortex dynamics on curved and bounded surfaces: the case of an elliptical boundary
- Stability of dark solitons in a bubble Bose-Einstein condensate