在不牺牲带宽和稳定性的情况下提高干涉仪灵敏度：超越单模和分辨边带近似
Enhancing interferometer sensitivity without sacrificing bandwidth and stability: beyond single-mode and resolved-sideband approximation
摘要：
量子噪声限制了精密测量设备的灵敏度，如激光干涉仪引力波观测台和轴子探测器。在散粒噪声限制的制度，这些谐振检测器的峰值灵敏度和带宽之间的权衡。在引力波探测器中规避这一限制的一种方法是嵌入一个色散光机械滤波器来拓宽带宽。然而，原始的滤波器腔设计使整个系统不稳定。最近，我们提出了臂腔和光机滤波器之间的相干反馈，通过PT对称性来消除不稳定性。基于哈密顿形式主义的原始分析采用了单模和分解边带近似。在本文中，我们超越这些近似，并考虑现实的参数。我们表明，有关稳定性的主要结论仍然完好无损，与奈奎斯特分析和详细的时域仿真。
英文摘要：
Quantum noise limits the sensitivity of precision measurement devices, such as laser interferometer gravitational-wave observatories and axion detectors. In the shot-noise-limited regime, these resonant detectors are subject to a trade-off between the peak sensitivity and bandwidth. One approach to circumvent this limitation in gravitational-wave detectors is to embed an anomalous-dispersion optomechanical filter to broaden the bandwidth. The original filter cavity design, however, makes the entire system unstable. Recently, we proposed the coherent feedback between the arm cavity and the optomechanical filter to eliminate the instability via PT-symmetry. The original analysis based upon the Hamiltonian formalism adopted the single-mode and resolved-sideband approximations. In this paper, we go beyond these approximations and consider realistic parameters. We show that the main conclusion concerning stability remains intact, with both Nyquist analysis and a detailed time-domain simulation.
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