Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains

Abstract

We compute the energy diffusion constant D, Lyapunov time τL and butterfly velocity vB in an inhomogeneous chain of coupled Majorana Sachdev-Ye-Kitaev (SYK) models in the large N and strong coupling limit. We find D vB2 τL 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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