Anderson’s considerations on the flow of superfluid helium: Some offshoots

2015/08/17 by E. Varoquaux · 1 voice · 4 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics

paper · doi:10.1103/revmodphys.87.803

openalex publication_date 2015/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this review, based on Anderson's ideas on phase slippage in superfluid helium, is to convey a physical meaning to the superfluid order parameter and its phase. This embraces an understanding of the superfluid order parameter phase and the associated processes that involve phase slip, the motion of vortices, critical velocities, Josephson effects, and phase slip associated with flow through small apertures. The review proceeds from a historical overview to a description of how the hydrodynamics of superfluid helium evolves from large to small scale, ultimately breaking down at close distance revealing the perplexingly elusive quantum properties of these fluids.

Citations

• The current-phase relation in Josephson junctions
• Supercurrents through barriers
• Is electromagnetic gauge invariance spontaneously violated in superconductors?
• Structure of a quantized vortex in boson systems

Cited by

• Superfluidity in the Second Layer of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mmultiscripts> <mml:mrow> <mml:mi>He</mml:mi> </mml:mrow> <mml:mprescripts/> <mml:none/> <mml:mrow> <mml:mn>4</mml:mn> </mml:mrow> </mml:mmultiscripts> </mml:mrow> </mml:math> on Graphite
• Generalization of the Kutta–Joukowski theorem for the hydrodynamic forces acting on a quantized vortex
• Periodic Cosmic String Formation and Dynamics
• Stochastic Lagrangian Dynamics of Vorticity. I. General Theory

Discussions

• Flux/phase tunneling in SQUIDs. We escape from the zero voltage state and resonant tunneling between fluxoid wells in dc/rf SQUID potentials. Theres a clear crossover from thermal activation to MQT at [stackexchange, 4 points]

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