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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.06481 |
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| _version_ | 1866910014042537984 |
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| author | Triay, Arnaud Visconti, François L. A. |
| author_facet | Triay, Arnaud Visconti, François L. A. |
| contents | We study the time evolution of Bose--Einstein condensates with three-body interactions in the Gross--Pitaevskii regime. We show that Bose--Einstein condensation is preserved under many-body evolution and that the condensate wavefunction evolves according to the quintic Gross--Pitaevskii equation in $\mathbb{R}^3$, which is energy critical. In particular, we show that the effective coupling constant is universal and depends only on a three-body scattering hypervolume. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_06481 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Derivation of the 3D quintic Gross--Pitaevskii equation Triay, Arnaud Visconti, François L. A. Mathematical Physics We study the time evolution of Bose--Einstein condensates with three-body interactions in the Gross--Pitaevskii regime. We show that Bose--Einstein condensation is preserved under many-body evolution and that the condensate wavefunction evolves according to the quintic Gross--Pitaevskii equation in $\mathbb{R}^3$, which is energy critical. In particular, we show that the effective coupling constant is universal and depends only on a three-body scattering hypervolume. |
| title | Derivation of the 3D quintic Gross--Pitaevskii equation |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2602.06481 |