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Sensitivity below the standard quantum limit in gravitational wave detectors with Michelson-Fabry-Perot readout

Journal Article · · Physical Review. D, Particles Fields
 [1];  [2]
  1. CNISM-Unita di Siena, Dipartimento di Fisica, Universita di Siena, via Roma 56, 53100 Siena (Italy)
  2. Dipartimento di Fisica, Universita di Firenze, INFN, Sezione di Firenze, and LENS, Via Sansone 1, I-50019 Sesto Fiorentino (Italy)

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.

OSTI ID:
21211999
Journal Information:
Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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