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arXiv · 1902.11086

A characterization of quantum chaos by two-point correlation functions

Hrant Gharibyan·Masanori Hanada·Brian Swingle·Masaki Tezuka
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Abstract

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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Hrant Gharibyan, Masanori Hanada, Brian Swingle, Masaki Tezuka. 2019-02-28. A characterization of quantum chaos by two-point correlation functions. https://doi.org/10.1103/physreve.102.022213

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