Progress in the mathematical theory of quantum disordered systems
Walter F. Wreszinski
TL;DR
This paper reviews recent mathematical advances in quantum disordered systems, focusing on the Anderson transition, spin glass models, and their return to equilibrium, highlighting progress in understanding complex quantum phenomena.
Contribution
It provides a comprehensive overview of recent mathematical results on quantum disordered systems, including new insights into the Anderson transition and spin glass dynamics.
Findings
Progress in understanding the Anderson transition
Analysis of the Edwards-Anderson spin glass model
Results on return to equilibrium in spin glasses
Abstract
We review recent progress in the mathematical theory of quantum disordered systems: the Anderson transition (joint work with Domingos Marchetti), the (quantum and classical) Edwards-Anderson (EA) spin glass model and return to equilibrium for a class of spin glass models, which includes the EA model initially in a very large transverse magnetic field.
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Taxonomy
TopicsTheoretical and Computational Physics · Complex Systems and Time Series Analysis · Complex Network Analysis Techniques