Journal article
Eigenstate correlations, thermalization, and the butterfly effect
- Abstract:
- We discuss eigenstate correlations for ergodic, spatially extended many-body quantum systems, in terms of the statistical properties of matrix elements of local observables. While the eigenstate thermalization hypothesis (ETH) is known to give an excellent description of these quantities, the phenomenon of scrambling and the butterfly effect imply structure beyond ETH. We determine the universal form of this structure at long distances and small eigenvalue separations for Floquet systems. We use numerical studies of a Floquet quantum circuit to illustrate both the accuracy of ETH and the existence of our predicted additional correlations.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 2.6MB, Terms of use)
-
- Publisher copy:
- 10.1103/PhysRevLett.122.220601
Authors
- Publisher:
- American Physical Society
- Journal:
- Physical Review Letters More from this journal
- Volume:
- 122
- Issue:
- 22
- Article number:
- 220601
- Publication date:
- 2019-06-07
- Acceptance date:
- 2019-05-11
- DOI:
- EISSN:
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1079-7114
- ISSN:
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0031-9007
- Pubs id:
-
pubs:1015579
- UUID:
-
uuid:2db62c4f-30c0-40ac-840a-d6ce0643ab5c
- Local pid:
-
pubs:1015579
- Source identifiers:
-
1015579
- Deposit date:
-
2019-06-17
Terms of use
- Copyright holder:
- American Physical Society
- Copyright date:
- 2019
- Notes:
- Copyright © 2019 American Physical Society. This is the accepted manuscript version of the article. The final version is available online from American Physical Society at: https://doi.org/10.1103/PhysRevLett.122.220601
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