Dynamics of quasi-one-dimensional bright and vortex solitons of a dipolar Bose-Einstein condensate with repulsive atomic interaction

TL;DR

This paper investigates the formation, stability, and dynamics of bright and vortex solitons in a dipolar Bose-Einstein condensate with repulsive interactions, using numerical and variational methods.

Contribution

It provides a phase diagram for soliton stability and explores soliton interactions, including collision dynamics and bound state formation.

Findings

Identified stable regions for bright and vortex solitons.

Observed coalescence into stable soliton molecules due to dipolar attraction.

Analyzed breathing oscillations and high-velocity collision behaviors.

Abstract

By numerical and variational analysis of the three-dimensional Gross-Pitaevskii equation we study the formation and dynamics of bright and vortex-bright solitons in a cigar-shaped dipolar Bose-Einstein condensate for large repulsive atomic interactions. Phase diagram showing the region of stability of the solitons is obtained. We also study the dynamics of breathing oscillation of the solitons as well as the collision dynamics of two solitons at large velocities. Two solitons placed side-by-side at rest coalesce to form a stable bound soliton molecule due to dipolar attraction.