迈克尔逊-法布里-珀罗读出的引力波探测器在标准量子极限以下的灵敏度
Sensitivity below the standard quantum limit in gravitational wave detectors with Michelson-Fabry-Perot readout
摘要：
我们计算了失谐腔的Michelson-Fabry-Perot（MFP）的量子噪声限制的位移灵敏度，然后进行相敏零差检测。我们表明，即使有谐振腔，没有任何信号回收镜，也没有额外的腔，可以超过标准的量子极限。实际上，由于零差检测，可以以消除输入幅度波动的影响的方式选择输出场正交，即，消除了力噪声。在失谐腔的情况下，修改后的光机械折射率允许对于足够大（但有限）的光功率达到无限的灵敏度。我们的表达式包括镜损耗和腔延迟效应，与实验进行了比较。我们的研究是特别致力于引力波探测器，我们认为这两个自由落体镜的干涉仪，和MFP作为读出一个巨大的探测器。在后一种情况下，获得了基于两种声学模式的最近设想的“DUAL”探测器的灵敏度曲线。
英文摘要：
We calculate the quantum noise limited displacement sensitivity of a Michelson-Fabry-Perot (MFP) with detuned cavities, followed by phase-sensitive homodyne detection. We show that the standard quantum limit can be surpassed even with resonant cavities and without any signal-recycling mirror nor additional cavities. Indeed, thanks to the homodyne detection, the output field quadrature can be chosen in such a way to cancel the effect of input amplitude fluctuations, i.e., eliminating the force noise. With detuned cavities, the modified opto-mechanical susceptivity allows to reach unlimited sensitivity for large enough (yet finite) optical power. Our expressions include mirror losses and cavity delay effect, for a realistic comparison with experiments. Our study is particularly devoted to gravitational wave detectors and we consider both an interferometer with free-falling mirrors, and a MFP as readout for a massive detector. In the latter case, the sensitivity curve of the recently conceived 'DUAL' detector, based on two acoustic modes, is obtained.
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