Characterization of quantum chaos by two-point correlation functions.
Volume
102
Pagination
022213 - ?
Publisher
DOI
10.1103/PhysRevE.102.022213
Journal
Phys Rev E
Issue
Metadata
Show full item recordAbstract
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).
Authors
Gharibyan, H; Hanada, M; Swingle, B; Tezuka, MCollections
- Mathematics [1686]