Long time stability of constant density states for the Hartree model

We consider an infinite number of (interacting) quantum particles with constant spatial density filling the whole 2-dimensional space. We show that for small enough perturbations of this state at initial time, the system returns to this equilibrium for large times. The dynamics which we consider is of Hartree-type with localized interactions. This is a joint work with Mathieu Lewin.Non UBCUnreviewedAuthor affiliation: Universite Paris-SudResearche