Theoretical Detailed Analyses for DC readout and a Fabri-Pérot gravitational-wave detector
中文速览 这篇论文从量子电动力学和海森堡运动方程出发，对采用直流读出方案的法布里-珀罗引力波探测器进行了严谨的理论分析。论文揭示了一个关键问题：激光的经典辐射压力会产生一个恒定的力，使反射镜的平衡位置发生偏移。如果干涉仪没有精确调谐到这个新的平衡点，经典载波场会泄漏到输出端口。这种泄漏导致了一个反直觉的现象——在高频区，增加注入的激光功率反而会增大散粒噪声，这与普遍认知相悖。作者证明，只有在“完全平衡调谐”的理想情况下，即干涉仪的调谐点精确补偿了经典辐射压力的影响，才能恢复散粒噪声随功率增加而减小的理想行为。论文还量化了实现近理想性能所需的调谐精度。 English Research Briefing Research Briefing: Theoretical Detailed Analyses for DC readout and a Fabri-Pérot gravitational-wave detector 1. The Core Contribution This paper presents a rigorous theoretical analysis of a Fabry-Pérot gravitational-wave detector, revealing a critical and counter-intuitive relationship between laser power and quantum noise under the DC readout scheme. The central thesis is that the classical radiation pressure from the high-power laser carrier establishes a static force that displaces the mirrors, shifting the interferometer’s resonant operating point. The paper’s primary conclusion is that if the detector is not precisely tuned to this new radiation-pressure-induced equilibrium, the resulting leakage of the classical carrier field into the output port causes the high-frequency shot noise to increase, rather than decrease, with higher laser power. The ideal, textbook behavior is only recovered under a condition the author terms “complete equilibrium tuning.” ...