Séminaire Physique mathématique ICJ

Derivation of nonlinear Gibbs measures from equilibrium Bose gases at high temperature

par Prof. Thanh Nam Phan

Europe/Paris
Zoom (Institut Camille Jordan)

Zoom

Institut Camille Jordan

https://greenlight.lal.cloud.math.cnrs.fr/b/dan-pyv-eez
Description

I will discuss a rigorous derivation of nonlinear Gibbs measures from many-body quantum Bose gases at just above the critical temperature of the Bose-Einstein phase transition. Since the Gibbs measures are singular, the derivation requires a Wick renormalization in a semiclassical limit. Our proof relies on a novel method to control the quantum variance. This is joint work with Mathieu Lewin and Nicolas Rougerie.

Organisé par

Nguyen-Viet Dang