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Talk

Recent progress in quantum spin glasses

  • Simone Warzel (TU München)
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Abstract

In this talk I will give an overview over recent results on mean-field spin-glass models with a transversal magnetic field.

For such models both thermodynamic quantities such as the free energy and its fluctuations, as well as spectral and localization properties of eigenvectors are of interest to a diverse list of communities. A full mathematical analysis of properties is completed for the simplest, yet ubiquitous quantum random energy model.

For models with a more complicated (classical) correlation structure such as the Sherrington-Kirkpatrick model, a more qualitative analysis proves the existence of a phase transition.

seminar
7/9/20 3/9/23

Webinar Analysis, Quantum Fields & Probability

MPI for Mathematics in the Sciences Live Stream

Jochen Zahn

Leipzig University Contact via Mail

Roland Bauerschmidt

University of Cambridge

Stefan Hollands

Leipzig University & MPI MiS Leipzig

Christoph Kopper

Ecole Polytechnique Paris

Antti Kupiainen

University of Helsinki

Felix Otto

MPI for Mathematics in the Sciences Contact via Mail

Manfred Salmhofer

Heidelberg University