Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains
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 combina...
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2017-05-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.2.3.018 |
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doaj-bae076810b264b69aa40dbc79937eb1f2020-11-24T21:37:17ZengSciPostSciPost Physics2542-46532017-05-012301810.21468/SciPostPhys.2.3.018Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chainsYingfei Gu, Andrew Lucas, Xiao-Liang QiWe 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.https://scipost.org/SciPostPhys.2.3.018 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yingfei Gu, Andrew Lucas, Xiao-Liang Qi |
| spellingShingle |
Yingfei Gu, Andrew Lucas, Xiao-Liang Qi Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains SciPost Physics |
| author_facet |
Yingfei Gu, Andrew Lucas, Xiao-Liang Qi |
| author_sort |
Yingfei Gu, Andrew Lucas, Xiao-Liang Qi |
| title |
Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains |
| title_short |
Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains |
| title_full |
Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains |
| title_fullStr |
Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains |
| title_full_unstemmed |
Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains |
| title_sort |
energy diffusion and the butterfly effect in inhomogeneous sachdev-ye-kitaev chains |
| publisher |
SciPost |
| series |
SciPost Physics |
| issn |
2542-4653 |
| publishDate |
2017-05-01 |
| description |
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. |
| url |
https://scipost.org/SciPostPhys.2.3.018 |
| work_keys_str_mv |
AT yingfeiguandrewlucasxiaoliangqi energydiffusionandthebutterflyeffectininhomogeneoussachdevyekitaevchains |
| _version_ |
1725937224410726400 |