We propose that Hawking radiation-like phenomena may be observed in systems that show butterfly effects. Suppose that a classical dynamical system has a Lyapunov exponent $\lambda_L$, and is deterministic and non-thermal ($T=0$). We argue that, if we quantize this system, the quantum fluctuations may imitate thermal fluctuations with temperature $T \sim \hbar \lambda_L/2 \pi $ in a semi-classical regime, and it may cause analogous Hawking radiation. We also discuss that our proposal may provide an intuitive explanation of the existence of the bound of chaos proposed by Maldacena, Shenker and Stanford.

中文翻译：

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蝴蝶效应中的类似霍金辐射

我们建议在显示蝴蝶效应的系统中可以观察到类似霍金辐射的现象。假设一个经典动力系统有一个李雅普诺夫指数$\lambda_L$，并且是确定性的和非热的（$T=0$）。我们认为，如果我们对该系统进行量化，量子涨落可能会在半经典状态下模仿温度 $T \sim \hbar \lambda_L/2 \pi $ 的热涨落，并且可能会导致类似的霍金辐射。我们还讨论了我们的提议可能对 Maldacena、Shenker 和斯坦福提出的混沌界限的存在提供直观的解释。