Characterization of quantum chaos by two-point correlation functions

Gharibyan, Hrant; Hanada, Masanori; Swingle, Brian; Tezuka, Masaki

doi:10.1103/physreve.102.022213

Characterization of quantum chaos by two-point correlation functions

Journal Article · Tue Aug 25 00:00:00 EDT 2020 · Physical Review. E

DOI:https://doi.org/10.1103/physreve.102.022213· OSTI ID:1803190

Gharibyan, Hrant ^[1]; Hanada, Masanori ^[2]; Swingle, Brian ^[3]; ^[4]

California Institute of Technology (CalTech), Pasadena, CA (United States); Stanford Univ., CA (United States); OSTI
Univ. of Surrey, Guildford (United Kingdom); Univ. of Southampton (United Kingdom); Brown Univ., Providence, RI (United States)
Univ. of Maryland, College Park, MD (United States)
Kyoto Univ. (Japan)

In this work, 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).

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Colorado, Boulder, CO (United States)

Sponsoring Organization:: Japan Society for the Promotion of Science (JSPS); National Science Foundation (NSF); Science and Technology Facilities Council (STFC); Simons Foundation; USDOE Office of Science (SC)

Grant/Contract Number:: SC0017905

OSTI ID:: 1803190

Journal Information:: Physical Review. E, Journal Name: Physical Review. E Journal Issue: 2 Vol. 102; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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