面向量子引力效应的精确光机械检测的理论分析
Theoretical analysis towards accurate optomechanical detection of quantum gravity effects
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中文总结 AI 辅助
本文针对光机械系统检测量子引力效应的研究，重新分析两种实验平台并纳入非线性动力学与激光相位噪声，修正测试方案与灵敏度界限，指出理想化估计高估分辨率，需考虑高阶相互作用与噪声抑制。
中文摘要 AI 辅助
光机械系统是通过对量子谐振子动力学进行精密测量，观测量子引力动力学特征的有前景平台。然而，现有多数分析仅考虑线性辐射压力相互作用，忽略了高阶光机械耦合与激光相位噪声，这些被忽略的贡献在量级上可能与预测的量子引力修正相当，从而引入虚假信号或掩盖真实物理效应。本文通过纳入完整非线性动力学与实际激光相位噪声，重新分析了两个实验实现的平台：法布里-珀罗光机械系统和膜中光机械系统。利用测得的器件参数，推导了广义不确定性原理测试的修正方案，并确定了实际灵敏度界限。结果表明，先前的理想化估计显著高估了可实现的分辨率，强调在光机械量子引力测试的实际评估中，必须纳入高阶相互作用并实施有效的激光相位噪声抑制。
英文摘要
Optomechanical systems offer a promising platform for observing dynamical signatures of quantum gravity through precision measurements of quantum harmonic oscillator dynamics. However, most existing analyses consider only the linear radiation-pressure interaction while neglecting higher-order optomechanical couplings and laser phase noise. These neglected contributions can be comparable in magnitude to the predicted quantum-gravity corrections and may therefore introduce spurious signals or mask the genuine physical effect. Here we reanalyze two experimentally realized platforms, a Fabry-Perot optomechanical system and a membrane-in-the-middle optomechanical system, by incorporating the complete nonlinear dynamics and realistic laser phase noise. Using measured device parameters, we derive revised protocols for generalized uncertainty principle tests and establish practical sensitivity bounds. Our results demonstrate that previous idealized estimates significantly overestimate the achievable resolution, underscoring the necessity of including higher-order interactions and implementing effective laser phase noise suppression in realistic assessments of optomechanical quantum gravity tests.
