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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.12748 |
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| _version_ | 1866912880448765952 |
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| author | Nam, Phan Thành Rademacher, Simone Soffer, Avy |
| author_facet | Nam, Phan Thành Rademacher, Simone Soffer, Avy |
| contents | We consider the Bogoliubov approximation for the many-body quantum dynamics of weakly interacting Bose gases and establish a uniform-in-time validity of the Bogoliubov theory. The proof relies on a detailed analysis of the dispersive behavior of the symplectic Bogoliubov dynamics, which allows for a rigorous derivation of the Bogoliubov theory as an effective description of quantum fluctuations around the Bose-Einstein condensate on all time scales. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12748 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dispersive estimates and long-time validity for Bogoliubov dynamics of interacting Bose gases Nam, Phan Thành Rademacher, Simone Soffer, Avy Mathematical Physics We consider the Bogoliubov approximation for the many-body quantum dynamics of weakly interacting Bose gases and establish a uniform-in-time validity of the Bogoliubov theory. The proof relies on a detailed analysis of the dispersive behavior of the symplectic Bogoliubov dynamics, which allows for a rigorous derivation of the Bogoliubov theory as an effective description of quantum fluctuations around the Bose-Einstein condensate on all time scales. |
| title | Dispersive estimates and long-time validity for Bogoliubov dynamics of interacting Bose gases |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2511.12748 |