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  Quantum noise of a Michelson-Sagnac interferometer with translucent mechanical oscillator

Yamamoto, K., Friedrich, D., Westphal, T., Gossler, S., Danzmann, K., Schnabel, R., et al. (2010). Quantum noise of a Michelson-Sagnac interferometer with translucent mechanical oscillator. Physical Review. A, 81(3): 033849. doi: 10.1103/PhysRevA.81.033849.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-B8F7-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-B8FA-5
Genre: Journal Article

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0912.2603 (Preprint), 375KB
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 Creators:
Yamamoto, Kazuhiro1, Author              
Friedrich, Daniel1, Author              
Westphal, Tobias1, Author              
Gossler, Stefan1, Author              
Danzmann, Karsten1, Author              
Schnabel, Roman1, Author              
Somiya, Kentaro1, Author              
Danilishin, Stefan L., Author
Affiliations:
1Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24010              

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Free keywords: Quantum Physics, quant-ph
 Abstract: Quantum fluctuations in the radiation pressure of light can excite stochastic motions of mechanical oscillators thereby realizing a linear quantum opto-mechanical coupling. When performing a precise measurement of the position of an oscillator, this coupling results in quantum radiation pressure noise. Up to now this effect has not been observed yet. Generally speaking, the strength of radiation pressure noise increases when the effective mass of the oscillator is decreased or when the power of the reflected light is increased. Recently, extremely light SiN membranes with high mechanical Q-values at room temperature have attracted attention as low thermal noise mechanical oscillators. However, the power reflectance of these membranes is much lower than unity which makes the use of advanced interferometer recycling techniques to amplify the radiation pressure noise in a standard Michelson interferometer inefficient. Here, we propose and theoretically analyze a Michelson-Sagnac interferometer that includes the membrane as a common end mirror for the Michelson interferometer part. In this new topology, both, power- and signal-recycling can be used even if the reflectance of the membrane is much lower than unity. In particular, signal-recycling is a useful tool because it does not involve a power increase at the membrane. We derive the formulas for the quantum radiation pressure noise and the shot-noise of an oscillator position measurement and compare them with theoretical models of the thermal noise of a SiN membrane with a fundamental resonant frequency of 75 kHz and an effective mass of 125 ng. We find that quantum radiation pressure noise should be observable with a power of 1 W at the central beam splitter of the interferometer and a membrane temperature of 1 K.

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 Dates: 2009-12-142009-12-162010
 Publication Status: Published in print
 Pages: 3 figures
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 Identifiers: arXiv: 0912.2603
DOI: 10.1103/PhysRevA.81.033849
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Title: Physical Review. A
  Alternative Title : Phys. Rev. A
Source Genre: Journal
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Publ. Info: New York, NY : Published by the American Physical Society through the American Institute of Physics
Pages: - Volume / Issue: 81 (3) Sequence Number: 033849 Start / End Page: - Identifier: Other: 954925225012
Other: 1050-2947