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

Overview

; We compute the energy diffusion constant; ; ; D; ; D; ; ; ; ,; Lyapunov time; ; tau_{textsc{l}}; ; and butterfly velocity; ; v_{textsc{b}}; ; in an inhomogeneous chain of coupled Majorana Sachdev-Ye-Kitaev (SYK); models in the large; ; ; N; ; N; ; ; ; and strong coupling limit. We find; ; Dle v_{textsc{b}}^2 tau_{textsc{l}}; ; from a combination of analytical and numerical approaches. Our example; necessitates the sharpening of postulated transport bounds based on; quantum chaos.;