Finite-size scaling analysis of eigenstate thermalization

Abstract

We study the fluctuations of eigenstate expectation values in a microcanonical ensemble. Assuming the eigenstate thermalization hypothesis, an analytical formula for the finite-size scaling of the fluctuations is derived. The same problem was studied by Beugeling et al. [Phys. Rev. E 89, 042112 (2014)]. We compare our results with theirs.

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