Bright dipolar Bose-Einstein condensate soliton mobile in a direction perpendicular to polarization

TL;DR

This paper demonstrates the existence and stability of bright dipolar Bose-Einstein condensate solitons moving perpendicular to their polarization, showing quasi-elastic collisions and sustained oscillations through numerical simulations.

Contribution

It introduces a new type of stable dipolar BEC soliton moving perpendicular to polarization, analyzed via 3D and 2D models with realistic parameters.

Findings

Solitons are stable and robust under various conditions.

Head-on collisions are quasi-elastic with minimal deformation.

Solitons exhibit sustained breathing oscillations after perturbation.

Abstract

We demonstrate stable, robust, bright dipolar Bose-Einstein condensate (BEC) solitons, moving in a direction perpendicular to the polarization direction, formed due to dipolar interaction for repulsive contact interaction. At medium velocity the head on collision of two such solitons is found to be quasi elastic with practically no deformation. Upon small perturbation the solitons are found to exhibit sustained breathing oscillation. The findings are illustrated by numerical simulation using the 3D mean-field Gross-Pitaevskii equation and a reduced 2D model in three and two spatial dimensions employing realistic interaction parameters for a dipolar $^{164}$Dy BEC.