Jones-Roberts solitary waves and the onset of rotation in a spherical surface condensate
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916027434008576 |
|---|---|
| author | Cuadra, Noel Villois, Alberto Gasenzer, Thomas Proment, Davide |
| author_facet | Cuadra, Noel Villois, Alberto Gasenzer, Thomas Proment, Davide |
| contents | The nonlinear excitations underlying the onset of rotation in a dilute Bose-Einstein condensate confined to a thin spherical shell are studied. These excitations correspond to solitary waves rotating about the sphere at constant angular speed: at low speeds they appear as dipoles of singly quantized vortices with opposite circulation, while at higher speeds they evolve into vortex-free Jones-Roberts solitons. With further increase of the angular speed, these excitations hybridize with equatorially confined modes whose azimuthal wave number is set by the sphere radius measured in units of the healing length. The propagation speed of these modes is shown to play the role of a Landau critical velocity, thereby setting the upper limiting angular speed of the entire Jones-Roberts family. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_18297 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Jones-Roberts solitary waves and the onset of rotation in a spherical surface condensate Cuadra, Noel Villois, Alberto Gasenzer, Thomas Proment, Davide Quantum Gases The nonlinear excitations underlying the onset of rotation in a dilute Bose-Einstein condensate confined to a thin spherical shell are studied. These excitations correspond to solitary waves rotating about the sphere at constant angular speed: at low speeds they appear as dipoles of singly quantized vortices with opposite circulation, while at higher speeds they evolve into vortex-free Jones-Roberts solitons. With further increase of the angular speed, these excitations hybridize with equatorially confined modes whose azimuthal wave number is set by the sphere radius measured in units of the healing length. The propagation speed of these modes is shown to play the role of a Landau critical velocity, thereby setting the upper limiting angular speed of the entire Jones-Roberts family. |
| title | Jones-Roberts solitary waves and the onset of rotation in a spherical surface condensate |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2605.18297 |