A Caltech Library Service

Characterization of quantum chaos by two-point correlation functions

Gharibyan, Hrant and Hanada, Masanori and Swingle, Brian and Tezuka, Masaki (2020) Characterization of quantum chaos by two-point correlation functions. Physical Review E, 102 (2). Art. No. 022213. ISSN 2470-0045. doi:10.1103/PhysRevE.102.022213.

PDF - Published Version
See Usage Policy.

[img] PDF - Submitted Version
See Usage Policy.

[img] PDF (supplemental material contains the number variance of the unfolded spectrum of the exponents obtained from the singular values of the correlation functions and the inverse participation ratio for the singular vectors of the correlation matrix) - Supplemental Material
See Usage Policy.


Use this Persistent URL to link to this item:


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).

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Swingle, Brian0000-0003-0334-3108
Tezuka, Masaki0000-0001-7877-0839
Additional Information:© 2020 American Physical Society. Received 7 April 2019; accepted 22 July 2020; published 25 August 2020. We thank S. Hikami, S. Matsuura, and H. Shimada for stimulating discussions. This work was partially supported by JSPS KAKENHI Grant Nos. JP17K14285 (M.H.), JP17K17822 (M.T.), and JP20K03787 (M.T.), the Simons Foundation via the It From Qubit Collaboration (B.S.), and the Department of Energy Award No. DE-SC0017905 (B.S). H.G. was supported in part by NSF Grant No. PHY-1720397. M.H. thanks Brown University for the hospitality during his stay while completing the paper and acknowledges the STFC Ernest Rutherford Grant No. ST/R003599/1.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Japan Society for the Promotion of Science (JSPS)JP17K14285
Japan Society for the Promotion of Science (JSPS)JP17K17822
Japan Society for the Promotion of Science (JSPS)JP20K03787
Simons FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0017905
Science and Technology Facilities Council (STFC)ST/R003599/1
Issue or Number:2
Record Number:CaltechAUTHORS:20200825-130210033
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105104
Deposited By: Tony Diaz
Deposited On:25 Aug 2020 20:15
Last Modified:16 Nov 2021 18:39

Repository Staff Only: item control page