Long-time validity of Bogoliubov theory
Simone Rademacher (University of Mannheim)
| Tue May 12, 14:00-15:00 (5 weeks from now) | |
Abstract: We consider the Bogoliubov approximation for the many-body quantum dynamics of weakly interacting Bose gases and establish a uniform-in-time validity of 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. This is joint work with Phan Thanh Nam and Avy Soffer.
mathematical physics
Audience: researchers in the discipline
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| Organizers: | Margherita Disertori*, Wojciech Dybalski*, Ian Jauslin, Hal Tasaki* |
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