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 return to equilibrium phenomena, highlighting progress in understanding complex quantum disorder effects.
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 quantum and classical Edwards-Anderson spin-glass models
Results on return to equilibrium in spin-glass systems
Abstract
We review recent progress in the mathematical theory of quantum disordered systems: the Anderson transition, including some 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 field.
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