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Recent Progress in Quantum Spin Glasses

Oberseminar Darmstadt

Date: 05.06.2025

Time: 13:30–15:00 h

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 (QREM).

For the physically most interesting model, the Quantum Sherrington-Kirkpatrick model (QSK), with a more complicated (classical) correlation structure, we give an infinte-dimensional analog of the classical Parisi formula. I will also briefly discuss the order parameters for that model  nd sketch a more qualitative analysis, which proves the existence of a phase transition in the QSK.

Speaker

Chokri Manai, TU München

Place

TU Darmstadt, Fachbereich Mathematik S2|15 Raum 301
64289 Darmstadt

Organizers

Technische Universität Darmstadt

Fachbereich Mathematik - Stochastik
Schlossgartenstraße 7
64289 Darmstadt
Telefon: +49 6151 16-23380
Telefax: +49 6151 16-23381
info(at)stochastik-rhein-mainde


Organizing partners

Goethe-Universität Frankfurt am Main, Johannes Gutenberg-Universität Mainz, Justus-Liebig-Universität Gießen

For this event, no registration is necessary. PDF- Link