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

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Abstract

We compute the energy diffusion constant D, Lyapunov time L 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 ¶ v2 B 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, Y., Lucas, A., & Qi, X. L. (2017). Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains. SciPost Physics, 2(3). https://doi.org/10.21468/SciPostPhys.2.3.018

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