Stability of dark solitons in a bubble Bose-Einstein condensate
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911729045209088 |
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| author | Sallatti, Raphael Wictky Tomio, Lauro Pelinovsky, Dmitry Gammal, Arnaldo |
| author_facet | Sallatti, Raphael Wictky Tomio, Lauro Pelinovsky, Dmitry Gammal, Arnaldo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04385 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability of dark solitons in a bubble Bose-Einstein condensate Sallatti, Raphael Wictky Tomio, Lauro Pelinovsky, Dmitry Gammal, Arnaldo Quantum Gases 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. |
| title | Stability of dark solitons in a bubble Bose-Einstein condensate |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2511.04385 |