2020/05/31 by Shoki Sugimoto, Ryusuke Hamazaki, Masahito Ueda · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physrevlett.126.120602
published as Phys. Rev. Lett. 126, 120602 (2021) · 7 pages, 4 figures. Minor errors in numerical calculation were fixed
arxiv created 2020/10/22 · arxiv updated 2021/03/31
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 the interactions. This distribution, which cannot be obtained from the conventional random matrix theory involving nonlocal correlations, demonstrates that an overwhelming majority of pairs of local Hamiltonians and observables satisfy the ETH with exponentially small fluctuations. The ergodicity of our random matrix ensembles breaks down due to locality.