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

Andrew Lucas; Xiao-Liang Qi; Yingfei Gu

arxiv: 1702.08462 · v2 · pith:CJOAGB6Inew · submitted 2017-02-27 · ✦ hep-th · cond-mat.str-el

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

Yingfei Gu , Andrew Lucas , Xiao-Liang Qi This is my paper

classification ✦ hep-th cond-mat.str-el

keywords textbutterflydiffusionenergyinhomogeneoussachdev-ye-kitaevanalyticalapproaches

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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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