Nonlinear Gibbs measures as the limit of equilibrium quantum Bose gases (Phan Thành Nam , LMU Munich)

14.10.2019 16:15

I will discuss the rigorous derivation of nonlinear Gibbs measures starting from a linear quantum system of bosons at a positive temperature. In three dimensions, the nonlinear classical measures have to be defined via a renormalization procedure, while the quantum system is well defined without any renormalization. By simply tuning the chemical potential, we obtain a counter-term for the diverging interactions which implements the Wick renormalization of the limit classical theory. The proof relies on a novel method to control the quantum variance. This is joint work with Mathieu Lewin and Nicolas Rougerie.

Lieu

Room 17, Séminaire "Mathématique Physique"

Organisé par

Faculté des sciences
Section de mathématiques

Intervenant-e-s

Phan Thành Nam, LMU Munich

entrée libre

Classement

Catégorie: Séminaire