Heidelberg 2022 – scientific programme
Parts | Days | Selection | Search | Updates | Downloads | Help
MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 4: Quantum field theory, AdS/CFT, non-equilibrium and quantum dynamics
MP 4.6: Talk
Tuesday, March 22, 2022, 17:55–18:15, MP-H5
Recenr Results on Quantum Spin Glasses — •Chokri Manai1, Simone Warzel1, Hajo Leschke2, and Rainer Ruderer2 — 1Department of Mathematics, TU München, Garching bei München, Germany — 2Institut für Theoretische Physik, FAU Erlangen, Erlangen, Germayn
In the past few decades, the theory of spin glasses has become a major field of interest in condensed matter physics, mathematical physics and proabbility theory. While in the classical spin glass theory many problems remain unsolved, at least a rough understanding of the underlying physics has been established. The milestone so far has been the derivation of a formula for the free energy in the classical Sherrington-Kirkpatrick model by this year's Nobel price winner Giorgio Parisi based on his replica method and its rigorous proof by Guerra and Talagrand.
The situation is vastly different for quantum spin glasses, where quantum effects are for example incorporated via a transversal field. In this case no closed formula has been found for the Quantum SK-model; and most physical results are based on numerical simulations. In this talk, I will give an introduction to the topic of quantum spin glasses. I will discuss recent results on hierarchical Quantum spin glasses, where one can rigorously prove a formula for the free energy. Moreover, we will have a quick look on the Quantum SK model, where one can at least prove the existing of replica symmetry breaking.