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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| Format: | Article |
| Language: | English |
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SciPost
2017-05-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.2.3.018 |
| Summary: | 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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| ISSN: | 2542-4653 |