We discuss the quantum mechanical description of a gravitational wave interacting with a cavity electromagnetic field. Quantum fluctuations of the gravitational vacuum induce squeezing in the optical field. Moreover, this squeezing experiences revivals, a purely quantum effect. Measuring these gravitationally induced revivals, although out of reach from experiments, would provide evidence on the quantum nature of gravity. We also discuss the quantum mechanical treatment of the interaction between coherent and squeezed gravitational wave states and a gravity wave detector. In the case of a coherent gravitational wave, we reproduce the result from the classical theory with a quantum mechanical calculation. The case of a squeezed gravity wave is not calculable within the classical theory, and could provide evidence on the quantum nature of gravity.

中文翻译：

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重力波中的量子效应

我们讨论了引力波与腔电磁场相互作用的量子力学描述。引力真空的量子涨落引起光场中的挤压。此外，这种挤压经历了复兴，这是一种纯粹的量子效应。测量这些由引力引起的复兴，虽然无法通过实验进行，但将为引力的量子性质提供证据。我们还讨论了相干和压缩引力波状态与重力波探测器之间相互作用的量子力学处理。在相干引力波的情况下，我们用量子力学计算再现了经典理论的结果。经典理论中无法计算挤压引力波的情况，但可以为引力的量子性质提供证据。