We present a quantum optics treatment of the near horizon behaviour of a quantum oscillator freely-falling into a pre-existing Schwarzschild black hole. We use Painleve-Gullstrand coordinates to define a global vacuum state. In contrast to an accelerated oscillator in the Minkowski vacuum, where there is no radiation beyond an initial transient, we find that the oscillator radiates positive energy to to infinity and negative energy into the black hole as it attempts to come into equilibrium with the ambient vacuum. We discuss the relationship of the model to Hawking radiation.

中文翻译：

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落入黑洞的振荡器的量子光学

我们对自由落入预先存在的史瓦西黑洞的量子振荡器的近视界行为进行了量子光学处理。我们使用 Painleve-Gullstrand 坐标来定义全局真空状态。与 Minkowski 真空中的加速振荡器相比，在初始瞬态之外没有辐射，我们发现振荡器在尝试与环境真空达到平衡时向黑洞辐射正能量至无穷大和负能量. 我们讨论模型与霍金辐射的关系。