2000 character limit reached
Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains (1702.08462v2)
Published 27 Feb 2017 in hep-th and cond-mat.str-el
Abstract: 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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