Engineering Bright Matter-Wave Solitons of Dipolar Condensates

TL;DR

This paper provides a detailed analysis of bright matter-wave solitons in dipolar Bose-Einstein condensates, exploring their forms, interactions, stability regimes, and potential for experimental realization.

Contribution

It offers a comprehensive mapping of soliton solutions and their interactions in dipolar condensates, including stability analysis in three dimensions.

Findings

Identified three collisional regimes: free collisions, bound states, and fusion.

Mapped stability and instability regimes, including collapse and expansion.

Demonstrated regimes accessible to current experiments.

Abstract

We present a comprehensive analysis of the form and interaction of dipolar bright solitons across the full parameter space afforded by dipolar Bose-Einstein condensates, revealing the rich behaviour introduced by the non-local nonlinearity. Working within an effective one-dimensional description, we map out the existence of the soliton solutions and show three collisional regimes: free collisions, bound state formation and soliton fusion. Finally, we examine the solitons in their full three-dimensional form through a variational approach; along with regimes of instability to collapse and runaway expansion, we identify regimes of stability which are accessible to current experiments.