Mathematical Physics and Harmonic Analysis Seminar

Date: November 10, 2021

Time: 10:00AM - 11:00AM

Location: Zoom

Speaker: Christian Brennecke, University of Bonn

Title: Bogoliubov Theory for Trapped Bosons in the Gross-Pitaevskii Regime

Abstract: In this talk I present a rigorous derivation of Bogoliubov theory for systems of $N$ trapped bosons in $\mathbb{R}^3$ in the so called Gross-Pitaevskii regime, characterized by a scattering length of order $N^{-1}$. We prove complete Bose-Einstein condensation for approximate ground states with optimal rate and determine the low-energy excitation spectrum of the system up to errors vanishing in the limit $N\to \infty$. The talk is based on joint work with S. Schraven and B. Schlein.