Working paper
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 butterfly effect implies 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:
- Not published
- Peer review status:
- Reviewed (other)
Actions
Authors
+ Engineering and Physical Sciences Research Council
More from this funder
- Funding agency for:
- Chalker, J
- Grant:
- EP/N01930X/1
+ European Research Council
More from this funder
- Funding agency for:
- De Luca, A
- Grant:
- Marie Sklodowska-Curie Grant: 794750
- Host title:
- ArXiv
- Series:
- ArXiv
- Publication date:
- 2018-10-25
- Pubs id:
-
pubs:936836
- UUID:
-
uuid:46e8509e-49fd-4efb-b6fe-62c610d0408a
- Local pid:
-
pubs:936836
- Source identifiers:
-
936836
- Deposit date:
-
2018-11-21
Terms of use
- Copyright holder:
- Chan et al
- Copyright date:
- 2018
- Notes:
- This is the pre-print version of the article.
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