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Analysis of Correlated Many-Body Systems: Bose-Einstein Condensates and Mean Field Spin Glasses

Christian Brennecke, Universität Bonn

Donnerstag, 2024-06-13 08:30Uhr

In this talk, I provide an overview of my recent research on the mathematical analysis of correlated many-body systems. I describe exemplary results concerning dilute quantum systems of interacting bosons and concerning disordered mean field systems of interacting Ising spins. In both cases, I carefully introduce the model, review relevant results and outline current as well as future research directions. The talk is based on joint work with M. Brooks, C. Caraci, J. Oldenburg, A. Schertzer, C. Xu and H.-T. Yau. .