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I will discuss several results (also in the mathematical sense) about the dynamics of quantum spin systems. The main theme will be 'localization' which is a term that has been much in vogue in the last years. Usually, it is understood as 'absence of dissipative behaviour'. I will explain what this means and how it comes about. The phenomenon that is probably to be expected to apply more broadly than 'localization' is 'sparsity of resonances', sometimes also called 'asymptotic localization' or 'quasi-localization'. It manifests itself in quantum and classical systems, where transport and thermalization take place only due to effects that are non-perturbative (smaller than any power) in the natural parameters of the system.

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Wojciech de Roeck, KU Leuven
TP seminar room 0.03
Contact: Joachim Krug