# Superfluid vortex dynamics on planar sectors and cones

@article{Massignan2019SuperfluidVD, title={Superfluid vortex dynamics on planar sectors and cones}, author={Pietro Massignan and Alexander L. Fetter}, journal={Physical Review A}, year={2019} }

We study the dynamics of vortices formed in a superfluid film adsorbed on the curved two-dimensional surface of a cone. To this aim, we observe that a cone can be unrolled to a sector on a plane with periodic boundary conditions on the straight sides. The sector can then be mapped conformally to the whole plane, leading to the relevant stream function. In this way, we show that a superfluid vortex on the cone precesses uniformly at fixed distance from the apex. The stream function also yields…

## 4 Citations

Superfluid vortex dynamics on a torus and other toroidal surfaces of revolution

- PhysicsPhysical Review A
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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…

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- 2021

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…

Superfluid vortex dynamics on an ellipsoid and other surfaces of revolution

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- 2021

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…

Bose–Einstein condensation on curved manifolds

- Physics
- 2020

Here we describe a weakly interacting Bose gas on a curved manifold, which is embedded in the three-dimensional Euclidean space.~To this end we start by considering a harmonic trap in the normal…

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