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We compute the energy diffusion constant D D , Lyapunov time τ_{{l}} and butterfly velocity v_{{b}} in an inhomogeneous chain of coupled Majorana Sachdev-Ye-Kitaev (SYK) models in the large N N and strong coupling limit. We find D≤ v_{{b}}^2 τ_{{l}} from a combination of analytical and numerical approaches. Our example necessitates the sharpening of postulated transport bounds based on quantum chaos.
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Gu et al. (2017) studied this question.
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