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
- doi: 10.21468/SciPostPhys.2.3.018
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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.
TY - JOUR
PB - SciPost Foundation
DO - 10.21468/SciPostPhys.2.3.018
TI - Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains
PY - 2017/05/28
UR - https://scipost.org/SciPostPhys.2.3.018
JF - SciPost Physics
JA - SciPost Phys.
VL - 2
IS - 3
SP - 018
A1 - Gu, Yingfei
AU - Lucas, Andrew
AU - Qi, Xiao-Liang
AB - 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.
ER -@Article{10.21468/SciPostPhys.2.3.018,
title={{Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains}},
author={Yingfei Gu and Andrew Lucas and Xiao-Liang Qi},
journal={SciPost Phys.},
volume={2},
pages={018},
year={2017},
publisher={SciPost},
doi={10.21468/SciPostPhys.2.3.018},
url={https://scipost.org/10.21468/SciPostPhys.2.3.018},
}
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Authors / Affiliation: mappings to Contributors and Organizations
See all Organizations.- 1 Yingfei Gu,
- 1 Andrew Lucas,
- 1 Xiao-Liang Qi