Non-radiating sources, dynamic anapole and Aharonov-Bohm effect

TL;DR

This paper demonstrates that non-radiating sources have spatially localized vector potentials and fields, simplifying their analysis, and explores the potential observation of a dynamic Aharonov-Bohm effect in such systems.

Contribution

It introduces a gauge choice that localizes the vector potential of non-radiating sources and links them to dynamic anapoles, facilitating new interpretations and experimental possibilities.

Findings

Vector potential of non-radiating sources can be spatially localized.

Non-radiating sources can be interpreted as distributions of dynamic anapoles.

A scenario for observing the dynamic Aharonov-Bohm effect is proposed.

Abstract

We show that for a particular choice of gauge the vector potential of any non-radiating source is spatially localized along with its electric and magnetic fields. Important on its own, this special property of non-radiating sources dramatically simplifies the analysis of their quantitative aspects, and enables the interpretation of non-radiating sources as distributions of the elementary dynamic anapoles. Using the developed approach we identify and discuss a possible scenario for observing the time-dependent version of the Aharonov-Bohm effect in such systems.