Stable and mobile two-dimensional dipolar ring-dark-in-bright Bose-Einstein condensate soliton

TL;DR

This paper demonstrates the creation and stability of two-dimensional dipolar ring-dark-in-bright Bose-Einstein condensate solitons, showing their robustness, mobility, and quasi-elastic collisions through numerical simulations with realistic parameters.

Contribution

It introduces a novel 2D dipolar RDB BEC soliton with stability and mobility, and demonstrates its creation via phase imprinting using realistic interaction parameters.

Findings

RDB solitons are stable and mobile in 2D dipolar BECs.

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

Phase imprinting can create RDB solitons in experiments.

Abstract

We demonstrate robust, stable, mobile two-dimensional (2D) dipolar ring-dark-in-bright (RDB) Bose-Einstein condensate (BEC) solitons for repulsive contact interaction, subject to a harmonic trap along the $y$ direction perpendicular to the polarization direction $z$. Such a RDB soliton has a ring-shaped notch (zero in density) imprinted on a 2D bright soliton free to move in the $x-z$ plane. At medium velocity the head-on collision of two such solitons is found to be quasi elastic with practically no deformation. The possibility of creating the RDB soliton by phase imprinting is demonstrated. The findings are illustrated using numerical simulation employing realistic interaction parameters in a dipolar $^{164}$Dy BEC.