100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Thierry Gallay

Alessandro Olgiati

Ground state energy and dynamics of multi-component condensates
Lundi, 20 Novembre, 2017 - 13:30
Résumé : 

Multi-component condensates, or mixtures of condensates, consist of two or more distinct populations of identical bosons which occupy the same one-body state.
In a recent joint work with Alessandro Michelangeli and Phan Thành Nam, we proved that, for mixtures in the Gross-Pitaevskii limit, at the leading order in the number of particles, the ground state energy is given by the minimum of a suitable effective functional. We also studied the time-dependent behavior, and proved that the effective dynamics of such systems is ruled by coupled non-linear Schrödinger equations, one for each component of the condensate.
I will devote the initial part of the talk to introducing the mathematical framework of condensation with scaling limits. Then, prior to stating our results, I will also recall some important theorems concerning the ground state and time-dependent properties of single-component bosonic systems.

Institution de l'orateur : 
SISSA, Trieste
Thème de recherche : 
Physique mathématique
Salle : 
Salle 1, tour IRMA
logo uga logo cnrs