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… 
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References

SHOWING 1-10 OF 20 REFERENCES
Quantized superfluid vortex dynamics on cylindrical surfaces and planar annuli
Superfluid vortex dynamics on an infinite cylinder differs significantly from that on a plane. The requirement that a condensate wave function be single valued upon once encircling the cylinder means
Vortices on curved surfaces
We present a systematic study of how vortices in superfluid films interact with the spatially varying Gaussian curvature of the underlying substrate. The Gaussian curvature acts as a source for a
Superfluid films on a cylindrical surface
Superfluid films adsorbed on a cylindrical surface are studied. The superfluid density is calculated using a modification of the Kosterlitz-Thouless theory. There is no vortex unbinding transition
Spinor Condensates on a Cylindrical Surface in Synthetic Gauge Fields.
We show that by modifying the setup of the recent experiment that creates a "Dirac string" one can engineer a quasi-2D spinor Bose-Einstein condensate on a cylindrical surface, with a synthetic
Anomalous coupling between topological defects and curvature.
TLDR
A counterintuitive geometric interaction in thin layers of superfluids, superconductors, and liquid crystals deposited on curved surfaces that causes all defects to be repelled by regions of positive (negative) Gaussian curvature.
Layering Transition in Superfluid Helium Adsorbed on a Carbon Nanotube Mechanical Resonator.
TLDR
The results show that helium multilayers adsorbed on a nanotube are of unprecedented quality compared to previous works, paving the way to new studies of quantized superfluid vortex dynamics on cylindrical surfaces and to supersolidity in crystalline single layers as predicted in quantum Monte Carlo calculations.
Synthetic Landau levels for photons
TLDR
This work realizes the Fock–Darwin Hamiltonian for photons in a magnetic field and harmonic trap, and opens the door to exploration of the interplay of geometry and topology, and in conjunction with Rydberg electromagnetically induced transparency, enables studies of photonic fractional quantum Hall fluids and direct detection of anyons.
Quantized Vortices in Helium II
Preface 1. Background on classical vortices 2. Background on liquid helium II 3. Vortex dynamics and mutual friction 4. The structure of quantized vortices 5. Vortex arrays 6. Vortex waves 7. Quantum
Superfluid onset and compressibility of He4 films adsorbed on carbon nanotubes
Author(s): Menachekanian, Emin; Iaia, Vito; Fan, Mingyu; Chen, Jingjing; Hu, Chaowei; Mittal, Ved; Liu, Gengming; Reyes, Raul; Wen, Fufang; Williams, Gary A
Hydrodynamics
LAMB'S text-book has long been the chief storehouse of information of all workers in hydrodynamics. One may note that the interval between the first and second editions was 16 years, and that
...
1
2
...