The Hall effect of dipole chain in one dimensional Bose-Einstein condensation

TL;DR

This paper explores the Hall effect in a dipole chain within one-dimensional Bose-Einstein condensation, revealing breather excitations obeying fractional statistics and proposing experimental detection methods for anyons.

Contribution

It introduces the concept of breather behavior with fractional statistics in dipole chains and demonstrates a Hall effect that can flip magnetic dipoles, linking to anyon detection.

Findings

Breather excitations obey fractional statistics.

Hall effect can induce flip of magnetic dipole chain.

Potential experimental detection of anyons.

Abstract

We find a breather behavior of the dipole chain, this breather excitation obey fractional statistics, it could be an experimental quantity to detect anyon. A Hall effect of magnetic monopole in a dipole chain of ultracold molecules is also presented, we show that this Hall effect can induce the flip of magnetic dipole chain.