Eigenstate Correlations, Thermalization and the Butterfly Effect
Statistical Mechanics
2019-06-11 v2 Strongly Correlated Electrons
High Energy Physics - Theory
Quantum Physics
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.
Cite
@article{arxiv.1810.11014,
title = {Eigenstate Correlations, Thermalization and the Butterfly Effect},
author = {Amos Chan and Andrea De Luca and J. T. Chalker},
journal= {arXiv preprint arXiv:1810.11014},
year = {2019}
}
Comments
5 pages, 4 figures. To appear in PRL