We calculate the quantum noise limited displacement sensitivity of a Michelson-Fabry-Perot (MFP) interferometer 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 interferometer 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.
Sensitivity below the standard quantum limit in gravitational wave detectors with Michelson-Fabry-Perot readout / J. Belfi; F. Marin. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - STAMPA. - 77:(2008), pp. 122002-122002. [10.1103/PhysRevD.77.122002]
Sensitivity below the standard quantum limit in gravitational wave detectors with Michelson-Fabry-Perot readout
MARIN, FRANCESCO
2008
Abstract
We calculate the quantum noise limited displacement sensitivity of a Michelson-Fabry-Perot (MFP) interferometer 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 interferometer 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.File | Dimensione | Formato | |
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