Bose-Einstein Condensation beyond the Gross-Pitaevskii Regime

Abstract: In this talk, I will consider Bose gases in a box of volume one that interact through a two-body potential with scattering length of the order $N^{-1+\kappa}$, for $\kappa >0$. For small enough $\kappa \in (0, 1/43)$, slightly beyond the Gross-Pitaevskii regime ($\kappa =0$), I will explain a proof of Bose-Einstein condensation for low-energy states that provides bounds on the expectation and on higher moments of the number of excitations. The talk is based on joint work with A. Adhikari and B. Schlein.

mathematical physicsanalysis of PDEs

Audience: researchers in the discipline

GAuS Seminar on Analysis and PDE

Series comments: We meet on every first Monday of a month at 5-6 pm CE(S)T.