Eigenstate Thermalization Hypothesis for Wigner-type Matrices
Probability
2024-04-05 v2
Abstract
We prove the Eigenstate Thermalization Hypothesis for general Wigner-type matrices in the bulk of the self-consistent spectrum, with optimal control on the fluctuations for observables of arbitrary rank. As the main technical ingredient, we prove rank-uniform optimal local laws for one and two resolvents of a Wigner-type matrix with regular observables.
Keywords
Cite
@article{arxiv.2403.10359,
title = {Eigenstate Thermalization Hypothesis for Wigner-type Matrices},
author = {Volodymyr Riabov and László Erdős},
journal= {arXiv preprint arXiv:2403.10359},
year = {2024}
}
Comments
49 pages, 2 figures, typos corrected