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• W2895889085 abstract "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 eigenstates. Explicit models where such properties have recently been verified are the XY and XXZ spin chain, in each case with disorder introduced in the form of a random exterior field. We introduce these models, state many of the available results and try to provide some general context. We discuss methods and ideas which enter the proofs and, in a few illustrative examples, include more detailed arguments. Finally, we also mention some directions for future mathematical work on MBL." @default.
• W2895889085 created "2018-10-26" @default.
• W2895889085 creator A5080753053 @default.
• W2895889085 date "2018-10-11" @default.
• W2895889085 modified "2023-09-27" @default.
• W2895889085 title "Aspects of the Mathematical Theory of Disordered Quantum Spin Chains." @default.
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• W2895889085 hasPublicationYear "2018" @default.
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