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arXiv · 2403.10359

Eigenstate Thermalization Hypothesis for Wigner-type Matrices

Volodymyr Riabov·László Erdős
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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.

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Volodymyr Riabov, László Erdős. 2024-03-15. Eigenstate Thermalization Hypothesis for Wigner-type Matrices. https://arxiv.org/abs/2403.10359

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