Arnaud Triay: Derivation of the 3D quintic Gross-Pitaevskii equation

mardi 20 oct. 2026, 10:30 → 11:30 Europe/Paris

We derive the quintic non-linear Schrödinger equation from the many-body dynamics of Bosons interacting with three-body interaction potentials in the Gross-Pitaevskii regime. In this regime, the short-range correlation structure between particles has a leading order role: the coupling parameter in the limiting equation is the correct scattering hyper volume. The proof relies on a new stability lemma needed to control effective two-body terms in terms of the three-body interaction potential. This is joint work with François Visconti.