标题： 引力声子效应 显示英文标题

标题： The Gravito-Phononic Effect

摘要： 光电效应是量子理论发展中的一个历史性里程碑，通过阈值频率、与强度无关的能量传递以及光电子的近瞬时发射等标志性特征，揭示了电磁场的离散能量的第一条证据。 在这项工作中，我们通过半经典、量子和新经典模型重新审视光电效应，探讨它们对能量守恒和离散光子交换的影响。 我们将这一分析扩展到包括引力声子效应，通过建模耦合谐振子之间的能量传递，而不是传统的原子-场相互作用。 我们的方法表明，在分束器相互作用下，两个耦合谐振子可以表现出类似于光电效应的标志性特征，包括共振条件和量子化的能量吸收。 我们讨论了该模型对最近提出的单引力子引力声子探测的影响。 这进一步阐明了光电效应的引力版本，即建模为谐振子之间离散能量传递，可以提供引力子的第一个证据。 显示英文摘要

摘要： The photo-electric effect was a historic milestone in the development of quantum theory, revealing the first evidence of discrete energy of the electromagnetic field through hallmark signatures such as the threshold frequency, intensity-independent energy transfer, and the near instantaneous ejection of photo-electrons. In this work, we revisit the photo-electric effect through the lens of semi-classical, quantum, and neo-classical models to explore their implications on energy conservation and discrete photon exchange. We extend this analysis to include the gravito-phononic effect through modelling energy transfer between coupled harmonic oscillators, rather than traditional atom-field interactions. Our approach demonstrates that two coupled harmonic oscillators, under a beam-splitter interaction, can exhibit hallmark signatures analogous to the photo-electric effect, including resonance conditions and quantised energy absorption. We discuss the implications of this model for the recently proposed gravito-phononic detections of single gravitons. This further clarifies that a gravitational version of the photo-electric effect, modelled as discrete energy transfer between harmonic oscillators can provide the first evidence of the graviton.