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Updated: Dec 8, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Characterization of quantum chaos by two-point correlation functions
Hrant Gharibyan1,2, Masanori Hanada3,4,5, Brian Swingle6
1Institute for Quantum Information and Matter, Caltech, 1200 E California Blvd, Pasadena California 91125, USA.
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 a 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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