scholarly journals Local-oscillator noise coupling in balanced homodyne readout for advanced gravitational wave detectors

2015 ◽  
Vol 92 (7) ◽  
Author(s):  
Sebastian Steinlechner ◽  
Bryan W. Barr ◽  
Angus S. Bell ◽  
Stefan L. Danilishin ◽  
Andreas Gläfke ◽  
...  
Author(s):  
Kouji Nakamura

Abstract The balanced homodyne detection as a readout scheme of gravitational-wave detectors is carefully examined from the quantum field theoretical point of view. The readout scheme in gravitational-wave detectors specifies the directly measured quantum operator in the detection. This specification is necessary when we apply the recently developed quantum measurement theory to gravitational-wave detections. We examine the two models of measurement. One is the model in which the directly measured quantum operator at the photodetector is Glauber’s photon number operator, and the other is the model in which the power operator of the optical field is directly measured. These two are regarded as ideal models of photodetectors. We first show these two models yield the same expectation value of the measurement. Since it is consensus in the gravitational-wave community that vacuum fluctuations contribute to the noises in the detectors, we also clarify the contributions of vacuum fluctuations to the quantum noise spectral density without using the two-photon formulation which is used in the gravitational-wave community. We found that the conventional noise spectral density in the two-photon formulation includes vacuum fluctuations from the main interferometer but does not include those from the local oscillator. Although the contribution of vacuum fluctuations from the local oscillator theoretically yields the difference between the above two models in the noise spectral densities, this difference is negligible in realistic situations.


2021 ◽  
Vol 4 (1) ◽  
Author(s):  
Michael A. Page ◽  
Maxim Goryachev ◽  
Haixing Miao ◽  
Yanbei Chen ◽  
Yiqiu Ma ◽  
...  

AbstractGravitational waves from the neutron star coalescence GW170817 were observed from the inspiral, but not the high frequency postmerger nuclear matter motion. Optomechanical white light signal recycling has been proposed for achieving broadband sensitivity in gravitational wave detectors, but has been reliant on development of suitable ultra-low loss mechanical components. Here we show demonstrated optomechanical resonators that meet loss requirements for a white light signal recycling interferometer with strain sensitivity below 10−24 Hz−1/2 at a few kHz. Experimental data for two resonators are combined with analytic models of interferometers similar to LIGO to demonstrate enhancement across a broader band of frequencies versus dual-recycled Fabry-Perot Michelson detectors. Candidate resonators are a silicon nitride membrane acoustically isolated by a phononic crystal, and a single-crystal quartz acoustic cavity. Optical power requirements favour the membrane resonator, while thermal noise performance favours the quartz resonator. Both could be implemented as add-on components to existing detectors.


2006 ◽  
Vol 45 (7) ◽  
pp. 1569 ◽  
Author(s):  
Gregory M. Harry ◽  
Helena Armandula ◽  
Eric Black ◽  
D. R. M. Crooks ◽  
Gianpietro Cagnoli ◽  
...  

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