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A characterization of quantum chaos by two-point correlation functions

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arxiv 1902.11086 v2 pith:4UAFFMCX submitted 2019-02-28 quant-ph cond-mat.stat-mechcond-mat.str-elhep-th

Hrant Gharibyan , Masanori Hanada , Brian Swingle , Masaki Tezuka This is my paper
classification quant-phcond-mat.stat-mechcond-mat.str-elhep-th
keywords characterizationchaosmodeloperatorsquantumapproachchaincollection
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We propose a characterization of quantum many-body chaos: given a collection of simple operators, the set of all possible pair-correlations between these operators can be organized into a matrix with random-matrix-like spectrum. This approach is particularly useful for locally interacting systems, which do not generically show exponential Lyapunov growth of out-of-time-ordered correlators. We demonstrate the validity of this characterization by numerically studying the Sachdev-Ye-Kitaev model and a one-dimensional spin chain with random magnetic field (XXZ model).

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Cited by 1 Pith paper

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  1. Thermalization with partial information

    quant-ph 2025-08 unverdicted novelty 6.0 of 10

    A maximum channel entropy principle, backed by a microcanonical-style derivation, identifies the canonical noisy channel that models thermalization under partial information.

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