Test of the Eigenstate Thermalization Hypothesis Based on Local Random Matrix Theory.

  title={Test of the Eigenstate Thermalization Hypothesis Based on Local Random Matrix Theory.},
  author={Shoki Sugimoto and Ryusuke Hamazaki and Masahito Ueda},
  journal={Physical review letters},
  volume={126 12},
We verify that the eigenstate thermalization hypothesis (ETH) holds universally for locally interacting quantum many-body systems. Introducing random matrix ensembles with interactions, we numerically obtain a distribution of maximum fluctuations of eigenstate expectation values for different realizations of interactions. This distribution, which cannot be obtained from the conventional random matrix theory involving nonlocal correlations, demonstrates that an overwhelming majority of pairs of… Expand

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