4 papers · 1 filter
Exponential concentration of fluctuations in mean-field boson dynamics
Matias Gabriel Ginzburg, Simone Rademacher, Giacomo De Palma
We study the mean-field dynamics of a system of interacting bosons starting from an initially condensated state. For a broad class of mean-field Hamiltonians, including models…
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…
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…
Local enhancement of the mean-field approximation for bosons
Marius Lemm, Simone Rademacher, Jingxuan Zhang
We study the quantum many-body dynamics of a Bose-Einstein condensate (BEC) on the lattice in the mean-field regime. We derive a local enhancement of the mean-field approximation:…