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

Yingfei Gu, Andrew Lucas, Xiao-Liang Qi

SciPost Phys. 2, 018 (2017) · published 28 May 2017


We compute the energy diffusion constant $D$, Lyapunov time $\tau_{\text{L}}$ and butterfly velocity $v_{\text{B}}$ in an inhomogeneous chain of coupled Majorana Sachdev-Ye-Kitaev (SYK) models in the large $N$ and strong coupling limit. We find $D\le v_{\text{B}}^2 \tau_{\text{L}}$ 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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Butterfly effect Diffusion Lyapunov exponents Quantum chaos Sachdev-Ye-Kitaev (SYK) model Spatially inhomogeneous systems Transport

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