Weak field dynamics in the Schroedinger-Poisson system with a harmonic potential

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Written by Filip Ficek

I will discuss the resonant approximation for the Schroedinger-Poisson system with a harmonic potential (SPh) which models  weak field dynamics of a self-gravitating Bose-Einstein condensate in a harmonic trap. The SPh system can be viewed as a nonrelativistic limit of the Einstein-Klein-Gordon equations with negative cosmological constant (EKG-AdS) so it is natural to ask which features observed for the  EKG-AdS system (most notably, weakly turbulent instability of AdS) persist in the limit. This is joint work with Piotr Bizon.