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Aspects of the mathematical theory of disordered quantum spin chains

Aspects of the mathematical theory of disordered quantum spin chains

We give an introduction into some aspects of the emerging mathematical theory of many-body localization (MBL) for disordered quantum spin chains. In particular, we discuss manifestations of MBL such as zero-velocity Lieb-Robinson bounds, quasi-locality of the time evolution of local observables, as well as exponential clustering and low entanglement of …