Vortex patterns of a 2D rotating Bose-Einstein condensate at the critical rotational speed
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917085579313152 |
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| author | Le, Bao-Duy Nguyen, Dinh-Thi |
| author_facet | Le, Bao-Duy Nguyen, Dinh-Thi |
| contents | We introduce a GPU-accelerated variational framework with exact projection onto the Lowest Landau Level to probe vortex patterns in rapidly rotating two-dimensional Bose-Einstein condensates. For repulsive interactions, our approach faithfully reproduces Abrikosov vortex lattices, achieving quantitative alignment with Thomas-Fermi theory and the Abrikosov constant, while underscoring the profound analogy between superfluid vortex ordering and Abrikosov lattices in type-II superconductors. In the attractive regime, we reveal that weak attractions sustain stable vortex arrays, whereas stronger attractions quench vortices, trigger radial contraction, and culminate in collapse at the Gagliardo-Nirenberg threshold. These findings deliver a cohesive numerical benchmark for vortex formation and collapse dynamics, forging a rigorous link between superfluidity and superconductivity in rotating quantum matter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13212 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Vortex patterns of a 2D rotating Bose-Einstein condensate at the critical rotational speed Le, Bao-Duy Nguyen, Dinh-Thi Quantum Gases Mathematical Physics 81V73 We introduce a GPU-accelerated variational framework with exact projection onto the Lowest Landau Level to probe vortex patterns in rapidly rotating two-dimensional Bose-Einstein condensates. For repulsive interactions, our approach faithfully reproduces Abrikosov vortex lattices, achieving quantitative alignment with Thomas-Fermi theory and the Abrikosov constant, while underscoring the profound analogy between superfluid vortex ordering and Abrikosov lattices in type-II superconductors. In the attractive regime, we reveal that weak attractions sustain stable vortex arrays, whereas stronger attractions quench vortices, trigger radial contraction, and culminate in collapse at the Gagliardo-Nirenberg threshold. These findings deliver a cohesive numerical benchmark for vortex formation and collapse dynamics, forging a rigorous link between superfluidity and superconductivity in rotating quantum matter. |
| title | Vortex patterns of a 2D rotating Bose-Einstein condensate at the critical rotational speed |
| topic | Quantum Gases Mathematical Physics 81V73 |
| url | https://arxiv.org/abs/2511.13212 |