Long-range sound-mediated dark soliton interactions in trapped atomic condensates

TL;DR

This paper explores how dark solitons in trapped atomic condensates interact over long distances through sound wave exchange, leading to energy transfer and identity reversal without direct contact, with potential experimental observation.

Contribution

It introduces a novel long-range interaction mechanism for dark solitons mediated by sound waves in inhomogeneous condensates, supported by idealized and realistic geometries.

Findings

Perfect energy transfer in double well geometry

Complete periodic identity reversal of solitons

Feasible experimental setups for observing long-range interactions

Abstract

A long-range soliton interaction is discussed whereby two or more dark solitons interact in an inhomogeneous atomic condensate, modifying their respective dynamics via the exchange of sound waves without ever coming into direct contact. An idealized double well geometry is shown to yield perfect energy transfer and complete periodic identity reversal of the two solitons. Two experimentally relevant geometries are analyzed which should enable the observation of this long-range interaction.