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. https://resolver.caltech.edu/CaltechAUTHORS:20200825-130210033

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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).

Item Type:

Article

Related URLs:

URL	URL Type	Description
https://doi.org/10.1103/PhysRevE.102.022213	DOI	Article
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.102.022213	Publisher	Article
https://arxiv.org/abs/1902.11086	arXiv	Discussion Paper

ORCID:

Author	ORCID
Swingle, Brian	0000-0003-0334-3108
Tezuka, Masaki	0000-0001-7877-0839

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

Funders:

Funding Agency	Grant 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 Foundation	UNSPECIFIED
Department of Energy (DOE)	DE-SC0017905
NSF	PHY-1720397
Science and Technology Facilities Council (STFC)	ST/R003599/1

Issue or Number:

DOI:

10.1103/PhysRevE.102.022213

Record Number:

CaltechAUTHORS:20200825-130210033

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20200825-130210033

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No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

105104

Collection:

CaltechAUTHORS

Deposited By:

Tony Diaz

Deposited On:

25 Aug 2020 20:15

Last Modified:

16 Nov 2021 18:39

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