Vortex arrays in a rotating superfluid He-4 nanocylinder

Abstract

Within Density Functional theory, we investigate stationary many-vortex structures in a rotating ${}^4$He nanocylinder at zero temperature. We compute the stability diagram and compare our results with the classical model of vortical lines in an inviscid and incompressible fluid. Scaling the results to millimeter-size buckets, they can be compared with experiments on vortex arrays conducted in the past. Motivated by recent experiments that have used atomic impurities as a means of visualizing vortices in superfluid ${}^4$He droplets, we have also considered the formation of chains of xenon atoms along a vortex line and the interaction between xenon atoms inside the same vortex and on different neighboring vortex lines.

References in corpus (12)

• Vortex lattice formation in a rotating Bose-Einstein condensate
• Structural and dynamical properties of superfluid helium: a density functional approach
• Freezing of He-4 and its liquid-solid interface from Density Functional Theory
• Microscopic molecular superfluid response: theory and simulations
• The structure and energetics of ${}^3$He and ${}^4$He nanodroplets doped with alkaline earth atoms
• Pinning of quantized vortices in helium drop by dopant atoms and molecules
• Excimers He2* as Tracers of Quantum Turbulence in 4He in the T=0 Limit
• Probing vortices in 4He nanodroplets
• Energetics and Possible Formation and Decay Mechanisms of Vortices in Helium Nanodroplets
• Vortex excitation in superfluid 4He: A Diffusion Monte Carlo study
• Quantum Monte Carlo study of a vortex in superfluid ${}^4$He and search for a vortex state in the solid
• Quantized vortices in ${}^4$He droplets: a quantum Monte Carlo study

Cited by in corpus (9)

• Density Functional Theory of doped superfluid liquid helium and nanodroplets
• Angular momentum in rotating superfluid droplets
• Vortex arrays in nanoscopic superfluid helium droplets
• Inelastic scattering of xenon atoms by quantized vortices in superfluids
• Static and dynamic properties of heavily doped quantum vortices
• Coexistence of vortex arrays and surface capillary waves in spinning prolate superfluid He-4 nanodroplets
• Theoretical framework bridging classical and quantum mechanics for the dynamics of cryogenic liquid helium-4 using smoothed-particle hydrodynamics
• Pair interactions of heavy vortices in quantum fluids
• Quantized Vortices in Superfluid Dark Matter