Stable multidimensional soliton stripes in two-component Bose-Einstein condensates

TL;DR

This paper presents methods to create stable, long-lived multidimensional dark soliton stripes in two-component Bose-Einstein condensates, reducing instabilities through core filling and trapping techniques, supported by numerical simulations.

Contribution

It introduces a novel approach to stabilize multidimensional dark soliton stripes using a second component to fill the core and trapping strategies.

Findings

Core filling reduces instabilities of dark soliton stripes.

Long-lived soliton stripes can be achieved in traps.

Numerical simulations confirm robustness during collisions.

Abstract

We discuss how to construct stable multidimensional extensions of one-dimensional dark solitons, the so-called soliton stripes, in two-species Bose-Einstein condensates in the immiscible regime. We show how using a second component to fill the core a dark soliton stripe leads to reduced instabilities while propagating in homogeneous media. We also discuss how in the presence of a trap arbitrarily long-lived dark soliton stripes can be constructed by increasing the filling of the dark stripe core. Numerical evidences of the robustness of the dark soliton stripes in collision scenarios are also provided.