Published August 2020
| Supplemental Material + Submitted + Published
Journal Article
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Characterization of quantum chaos by two-point correlation functions
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).
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.Attached Files
Published - PhysRevE.102.022213.pdf
Submitted - 1902.11086.pdf
Supplemental Material - supplemental.pdf
Files
supplemental.pdf
Additional details
- Eprint ID
- 105104
- Resolver ID
- CaltechAUTHORS:20200825-130210033
- JP17K14285
- Japan Society for the Promotion of Science (JSPS)
- JP17K17822
- Japan Society for the Promotion of Science (JSPS)
- JP20K03787
- Japan Society for the Promotion of Science (JSPS)
- Simons Foundation
- DE-SC0017905
- Department of Energy (DOE)
- PHY-1720397
- NSF
- ST/R003599/1
- Science and Technology Facilities Council (STFC)
- Created
-
2020-08-25Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter