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arXiv · 2511.04385

Stability of dark solitons in a bubble Bose-Einstein condensate

Raphael Wictky Sallatti·Lauro Tomio·Dmitry Pelinovsky·Arnaldo Gammal
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Abstract

The stability of nonlinear waves on curved surfaces is a problem of widespread interest across physics. Here, we establish the stability criteria for dark solitons on a spherical Bose-Einstein condensate. We demonstrate a sharp instability threshold in the nonlinear parameter, beyond which solitons decay into vortex dipoles via snake instabilities. Analytically and numerically, we prove this decay is dictated by a single unstable mode for each angular momentum $m \geq 2$, which is a universal mechanism that controls the resulting vortex state. Unlike in the full three-dimensional case, where snake instabilities lead to vortex rings, a dark soliton confined to the surface of a bubble can only decay into vortex pairs.

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Raphael Wictky Sallatti, Lauro Tomio, Dmitry Pelinovsky, Arnaldo Gammal. 2025-11-06. Stability of dark solitons in a bubble Bose-Einstein condensate. https://doi.org/10.1103/1j8m-96pz

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