Yes, 60 years later we are still working hard on vortices

TL;DR

This paper critically reviews 60 years of vortex dynamics research, highlighting recent advances in vortex-phonon interactions and topological methods, and emphasizing key experiments that shape future developments.

Contribution

It identifies promising research directions and underscores important experiments that have been underappreciated, advancing understanding of vortex behavior in superfluids and superconductors.

Findings

Vortex-phonon interactions are crucial in low temperature superfluid turbulence.

Topological methods are increasingly integrated into vortex dynamics.

Key experiments have measured vorticity quantization and Magnus force, influencing the field.

Abstract

With the excitement generated by this year's Nobel Prize in physics, here I give a brief critical review of current vortex dynamics research activity, using a recent book as the background material. Two directions in which major progresses can be expected are selected: the role of vortex-phonon interaction in low temperature superfluid turbulence and the complete integration of topological method into vortex dynamics. In addition, I would like to call attention to 3 important experiments which have not been fully appreciated in the past: 1) the measurement of vorticity quantization via Magnus force done in Britain; 2) the extensive study of Josephson-Anderson relation carried out in USA; and 3) the direct measurement of Magnus force in superconductors performed in Sweden. They will play an important role in the further development of the field.