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On thermalization in random free fermions: Statistical origins and energy-dependent ETH structure
We study the thermalization in the random free fermion model by a detailed random-matrix analysis. By computing the ensemble average and fluctuations of $\operatorname{Tr}(Aρ(t))$ for a single-particle observable $A$, we derive the thermalization function $g^2(t/τ_λ)$ with $τ_λ= \hbar/(2η\sqrt{N})$,
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