Phase transitions and replica-symmetry breaking in quantum glasses
Speaker: Simone Warzel | TU Munich & MCQST
Abstract
Quantum spin glass models of mean-field type are prototypes of quantum systems exhibiting phase transitions related to the spread of the eigenstates in configuration space. Originally motivated by spin glass physics, they are discussed in relation to many-body localisation phenomena, quantum adiabatic algorithms as well as in the context of models in mathematical biology. After a short introduction to the multifaceted motivations behind the study of quantum glasses, I will present recent results concerning their phase diagrams. In particular, I will explain a simple proof of replica-symmetry breaking at low temperatures for the Sherrington-Kirkpartick model in a transverse field and discuss the colourful landscape of phases in hierarchical caricatures of the SK model. These phases range from pure quantum paramagnetic to intermediate behavior in which eigenstates occupy only a fraction of configuration space.
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1 окт 2024
