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Slow propagation of information on the random XXZ quantum spin chain

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arxiv 2311.14188 v3 pith:V6W2AX6R submitted 2023-11-23 math-ph cond-mat.dis-nnmath.MP

Alexander Elgart , Abel Klein This is my paper · ORCID
classification math-phcond-mat.dis-nnmath.MP
keywords chainenergyinformationintervallocalizationpropagationquantumrandom
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The random XXZ quantum spin chain manifests localization (in the form of quasi-locality) in any fixed energy interval, as previously proved by the authors. In this article it is shown that this property implies slow propagation of information, one of the putative signatures of many-body localization, in the same energy interval.

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  1. Logarithmic lightcones in the multiparticle Anderson model with sparse interactions

    math-ph 2025-09 conditional novelty 7.0 of 10

    A single strong ZZ interaction in the 1D XY/Anderson model yields Lieb-Robinson bounds with a logarithmic lightcone and amplitude suppressed as 1/Δ.

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