A characterization of quantum chaos by two-point correlation functions
Quantum Physics
2020-08-27 v2 Statistical Mechanics
Strongly Correlated Electrons
High Energy Physics - Theory
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).
Cite
@article{arxiv.1902.11086,
title = {A characterization of quantum chaos by two-point correlation functions},
author = {Hrant Gharibyan and Masanori Hanada and Brian Swingle and Masaki Tezuka},
journal= {arXiv preprint arXiv:1902.11086},
year = {2020}
}
Comments
8+3 pages, 10+3 figures, to be published in Physical Review E