Dynamics of Charged Quantized Vortices

TL;DR

This paper develops a theoretical model for the dynamics of charged quantized vortices, including analytical and numerical results, to better understand their behavior in quantum turbulence experiments.

Contribution

It introduces a new equation of motion for charged vortices based on the vortex filament model and provides analytical and numerical insights into their behavior under electric fields.

Findings

Charged vortex rings expand under electric fields.

Numerical simulations reveal characteristic CQV behaviors.

The model aids in understanding quantum turbulence experiments.

Abstract

We study theoretically the dynamics of charged quantized vortices (CQVs). CQVs (ion-vortex complexes) have been used as an important probe in the field of quantum hydrodynamics. Recent experimental studies of quantum turbulence at very low temperatures utilize CQVs. In this work we propose the equation of motion of CQVs based on the vortex filament model. An analytical solution for a charged vortex ring shows how it expands under an electric field. Numerical simulation reveals the characteristic behavior of CQVs under an electric field.