Stability of dark solitons in a bubble Bose-Einstein condensate

2025/11/06 by Sallatti, Raphael Wictky, Tomio, Lauro, Pelinovsky, Dmitry +1
#FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas)

paper · doi:10.48550/arxiv.2511.04385

Abstract

The dynamic stability of dark solitons trapped on the surface of a two-dimensional spherical bubble is investigated. In this spherical geometry of the Bose-Einstein condensate, dark solitons are found to be unstable for the interaction parameter ε \gtrsim 8.37, since discrete angular modes drive snake instabilities, with the generation of vortex dipoles. We show analytically and numerically that, for each angular mode m ≥ 2, there exists exactly one unstable mode whose dominance determines the number m of vortex dipoles. Time-dependent simulations confirm the formation of vortex dipoles.

Citations

• Dynamical Phase Transition of Dark Solitons in Spherical Holographic Superfluids
• Dimer problem on a spherical surface
• Faraday waves on a bubble Bose-Einstein condensed binary mixture
• Numerical computation of dark solitons of a nonlocal nonlinear Schrödinger equation
• Pattern formation outside of equilibrium

Related

• Development of instability of dark solitons generated by a flow of Bose-Einstein condensate past a concave corner
• Variational Approach to the Snake Instability of a Bose-Einstein Condensate Soliton
• Solitonic vortices and the fundamental modes of the “snake instability”: Possibility of observation in the gaseous Bose-Einstein condensate
• Dynamical Phase Transition of Dark Solitons in Spherical Holographic Superfluids
• Solitons, solitonic vortices, and vortex rings in a confined Bose-Einstein condensate