# Geometric phase of a moving dipole under a magnetic field at a distance

## TL;DR

This paper predicts a novel geometric quantum phase shift for a moving electric dipole in a magnetic field at a distance, highlighting new aspects of quantum electromagnetic interactions and proposing experimental detection methods.

## Contribution

It introduces a new geometric phase arising from a dipole moving in a magnetic field at a distance, distinct from known topological phases, based on a Lorentz-covariant approach.

## Key findings

- Predicts a geometric phase shift for moving dipoles in magnetic fields at a distance.
- Proposes atomic interferometry as a feasible detection method.
- Enhances understanding of locality in quantum electromagnetic interactions.

## Abstract

We predict a geometric quantum phase shift of a moving electric dipole in the presence of an external magnetic field at a distance. On the basis of the Lorentz-covariant field interaction approach, we show that a geometric phase appears under the condition that the dipole is moving in the field-free region, which is distinct from the topological He-McKellar-Wilkens phase generated by a direct overlap of the dipole and the field. We discuss the experimental feasibility of detecting this phase with atomic interferometry and argue that detection of this phase would result in a deeper understanding of the locality in quantum electromagnetic interaction.