A characterization of quantum chaos by two-point correlation functions
arXiv:1902.11086 · doi:10.1103/PhysRevE.102.022213
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).
arXiv comment8+3 pages, 10+3 figures, to be published in Physical Review E
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