Séminaire: Problèmes Spectraux en Physique Mathématique

Année 2025-2026

Pour tout renseignement complémentaire, veuillez contacter les organisateurs, Hakim Boumaza, Mathieu Lewin ou Stéphane Nonnenmacher.

14h - 15h	Jakob Oldenburg (Paris-Dauphine)	Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Abstract: We consider a dilute Bose gas in the thermodynamic limit. We prove an upper bound for the ground state energy per unit volume, capturing the expected third order term, as predicted by Wu, Hugenholtz-Pines and Sawada. This is joint work with Morris Brooks, Diane Saint Aubin and Benjamin Schlein.
15h15 - 16h15	Siegfried Spruck (Karlsruhe)	Effective Dynamics for the Bose Polaron in the Large-Volume Mean-Field Limit Abstract: We consider the dynamics of the Bose polaron system, a dense quantum gas consisting of N bosons evolving in R³ in the presence of an impurity particle. The system is studied in the mean-field scaling with initially high density ρ and large volume Λ of the gas. In the initial state, almost all bosons are in the Bose-Einstein condensate, with a few excitations. We derive from the microscopic dynamics, in the joint limit of large densities and volumes, Λ³ << ρ, the effective description by the Bogoliubov-Fröhlich Hamiltonian, which couples the quantum field of excitations linearly to the impurity particle.

11 mai 2026
15 juin 2026