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math-ph2025
On Bose-Einstein condensates in disordered media
Marius Lemm, Simone Rademacher, Jingxuan Zhang
We consider the quantum dynamics of interacting bosons in the mean-field regime when they are subjected to a disordered potential, which is either random or quasi-periodic. Startin…
math-ph2025
Dispersive estimates and long-time validity for Bogoliubov dynamics of interacting Bose gases
Phan Thành Nam, Simone Rademacher, Avy Soffer
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…