Density of a rapidly rotating Bose gases

par Dinh Nguyen (UMPA, ÉNS Lyon)

mardi 30 nov. 2021, 15:45 → 16:25 Europe/Paris

Fokko du Cloux (Bâtiment Braconnier, Université Lyon 1)

We study the minimizers of an energy functional with a  rotational term in a quadratic plus quartic confining potential, which describes a fast rotating Bose--Einstein condensates. For the homogeneous gas, we prove the existence of the thermodynamic limit of the energy at fixed density. By elliptic estimates, we give asymptotic formula for thermodynamic limit at small density. We then use this result to derive an effective Thomas--Fermi-like model for the trapped rotating gas in the rapidly rotating limit. This is joint work with Nicolas Rougerie.