Progress in the mathematical theory of quantum disordered systems
arXiv:1210.8354 · doi:10.1063/1.4770066
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.
42 pages, 1 figure, expanded version of talks at Bressanone and Goettingen, with several important additions regarding the Anderson transition
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