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  Squeezed-input, optical-spring, signal-recycled gravitational-wave detectors

Harms, J., Chen, Y., Chelkowski, S., Franzen, A., Vahlbruch, H., Danzmann, K., et al. (2003). Squeezed-input, optical-spring, signal-recycled gravitational-wave detectors. Physical Review D, 68(4): 042001. doi:10.1103/PhysRevD.68.042001.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5335-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5337-D
Genre: Journal Article

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 Creators:
Harms, Jan1, 2, Author
Chen, Yanbei3, Author              
Chelkowski, Simon1, 2, Author
Franzen, Alexander1, 2, Author
Vahlbruch, Henning2, Author              
Danzmann, Karsten2, Author              
Schnabel, Roman2, Author              
Affiliations:
1AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24009              
2Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24010              
3Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 Abstract: We theoretically analyze the quantum noise of signal-recycled laser interferometric gravitational-wave detectors with additional input and output optics, namely frequency-dependent squeezing of the vacuum entering the dark port and frequency-dependent homodyne detection. We combine the work of Buonanno and Chen on the quantum noise of signal-recycled interferometers with ordinary input-output optics, and the work of Kimble el al. on frequency-dependent input-output optics with conventional interferometers. Analytical formulas for the optimal input and output frequency dependencies are obtained. It is shown that injecting squeezed light with the optimal frequency-dependent squeezing angle into the dark port yields an improvement on the noise spectral density by a factor of exp(-2r) (in power) over the entire squeezing bandwidth, where r is the squeezing parameter. It is further shown that frequency-dependent (variational) homodyne read-out leads to an additional increase in sensitivity which is significant in the wings of the doubly resonant structure. The optimal variational input squeezing in case of an ordinary output homodyne detection is shown to be realizable by applying two optical filters on a frequency-independent squeezed vacuum. Throughout this paper, we take as example the signal-recycled topology currently being completed at the GEO600 site. However, theoretical results obtained here are also applicable to the proposed topology of Advanced LIGO.

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 Dates: 2003
 Publication Status: Published in print
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 68 (4) Sequence Number: 042001 Start / End Page: - Identifier: ISSN: 1089-4918