Anderson's considerations on the flow of superfluid helium: some offshoots

Abstract

Nearly five decades have elapsed since the seminal 1966 paper of P.W. Anderson on the flow of superfluid helium, ${}^4$He at that time. Some of his "Considerations" -- the role of the quantum phase as a dynamical variable, the interplay between the motion of quantised vortices and potential superflow, its incidence on dissipation in the superfluid and the appearance of critical velocities, the quest for the hydrodynamic analogues of the Josephson effects in helium -- and the way they have evolved over the past half-century are recounted below. But it is due to key advances on the experimental front that phase slippage could be harnessed in the laboratory, leading to a deeper understanding of superflow, vortex nucleation, the various intrinsic and extrinsic dissipation mechanisms in superfluids, macroscopic quantum effects and the superfluid analogue of both {\it ac} and {\it dc} Josephson effects -- pivotal concepts in superfluid physics -- have been performed. Some of the experiments that have shed light on the more intimate effect of quantum mechanics on the hydrodynamics of the dense heliums are surveyed, including the nucleation of quantised vortices both by Arrhenius processes and by macroscopic quantum tunnelling, the setting up of vortex mills, and superfluid interferometry.

Review article - 59 pages - 34 figures - submitted to the Review of Modern Physics

References in corpus (5)

• A superfluid 4He interferometer operating near 2 K
• Hard domain walls in superfluid 3He-B
• Transition from synchronous to asynchronous superfluid phase slippage in an aperture array
• Critical velocities in superfluids and the nucleation of vortices
• Phase-slip avalanches in the superflow of ${}^4$He through arrays of nanopores

Cited by in corpus (33)

• Roadmap on Atomtronics: State of the art and perspective
• Josephson effect in fermionic superfluids across the BEC-BCS crossover
• Two-terminal transport measurements with cold atoms
• Connecting dissipation and phase slips in a Josephson junction between fermionic superfluids
• Deformations, relaxation and broken symmetries in liquids, solids and glasses: a unified topological field theory
• Polaritonic Rabi and Josephson Oscillations
• Mean-field Dynamics and Fisher Information in matterwave Interferometry
• Critical Vortex Shedding in a Strongly Interacting Fermionic Superfluid
• Critical Josephson current in BCS-BEC crossover superfluids
• Coherent Quantum Phase Slip in two-component bosonic Atomtronic Circuits
• Relativistic formulation of the Hall-Vinen-Bekarevich-Khalatnikov superfluid hydrodynamics
• The Josephson-Anderson Relation and the Classical D'Alembert Paradox
• Stochastic Lagrangian Dynamics of Vorticity. II. Channel-Flow Turbulence
• Minimum critical velocity of a Gaussian obstacle in a Bose-Einstein condensate
• Critical Energy Dissipation in a Binary Superfluid Gas by a Moving Magnetic Obstacle
• Two-component superfluid hydrodynamics of neutron star cores
• Models for supercritical motion in a superfluid Fermi liquid
• Spin and mass superfluidity in ferromagnetic spin-1 Bose-Einstein condensate
• The discovery, disappearance and re-emergence of radiation-stimulated superconductivity
• Robustness of discrete semifluxons in closed Bose-Hubbard chains
• Vorticity cascade and turbulent drag in wall-bounded flows: plane Poiseuille flow
• Irreversible entropy transport enhanced by fermionic superfluidity
• A Century of Bose-Einstein Condensation
• Generalization of the Kutta-Joukowski theorem for the hydrodynamic forces acting on a quantized vortex
• Dissipation in mesoscale superfluids
• Periodic Cosmic String Formation and Dynamics
• Coherent and dissipative transport in a Josephson junction between fermionic superfluids of ${}^6$Li atoms
• Inclusion of pairing fluctuations in a semiclassical approach: The case of study of the Josephson effect
• Bose-Einstein condensation in canonical ensemble with fixed total momentum
• Vacuum tunneling of vortices in two-dimensional ${}^4$He superfluid films
• Friedel oscillations in one-dimensional 4He
• On the Novel Superfluidity in the Second Layer of ${}^4$He on Graphite
• Stochastic Lagrangian Dynamics of Vorticity. I. General Theory