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Transition from Quantum Chaos to Localization in Spin Chains

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arxiv 1902.06265 v3 pith:L7EVE42N submitted 2019-02-17 cond-mat.stat-mech nlin.CDquant-ph

Petr Braun , Daniel Waltner , Maram Akila , Boris Gutkin , Thomas Guhr This is my paper · ORCID
classification cond-mat.stat-mechnlin.CDquant-ph
keywords localizationcasechainschaosclassesmany-bodyquantumspin
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Recent years have seen an increasing interest in quantum chaos and related aspects of spatially extended systems, such as spin chains. However, the results are strongly system dependent, generic approaches suggest the presence of many-body localization while analytical calculations for certain system classes, here referred to as the ``self-dual case'', prove adherence to universal (chaotic) spectral behavior. We address these issues studying the level statistics in the vicinity of the latter case, thereby revealing transitions to many-body localization as well as the appearance of several non-standard random-matrix universality classes.

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  1. Extreme value statistics and eigenstate thermalization in kicked quantum chaotic spin-$1/2$ chains

    quant-ph 2025-05 conditional novelty 6.0 of 10

    The largest entanglement eigenvalue of a quantum chaotic kicked Ising chain follows a Weibull-type extreme value distribution rather than the random-matrix Tracy-Widom law, even as ETH is satisfied.

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