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

Yamamoto, Kazuhiro and Friedrich, Daniel and Westphal, Tobias and Goßler, Stefan and Danzmann, Karsten and Somiya, Kentaro and Danilishin, Stefan L. and Schnabel, Roman (2010) Quantum noise of a Michelson-Sagnac interferometer with a translucent mechanical oscillator. Physical Review A, 81 (3). Art. No. 033849 . ISSN 1050-2947.

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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 (≈100 ng) with high mechanical Q values at room temperature (≥10^6) have attracted attention as low thermal noise mechanical oscillators. However, the power reflectance of these membranes is much lower than unity (<0.4 at a wavelength of 1064 nm) 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 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.

Item Type:Article
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Friedrich, Daniel0000-0003-4844-368X
Schnabel, Roman0000-0003-2896-4218
Additional Information:© 2010 The American Physical Society. Received 16 December 2009; published 29 March 2010. This work is supported by the Deutsche Forschungsgemeinschaft and is part of Sonderforschungsbereich 407. K.S. is supported by the Japanese Society for the Promotion of Science. We are grateful to Yanbei Chen, Thomas Corbitt, and Albrecht Rüdiger for useful comments.
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft407
Japanese Society for the Promotion of ScienceUNSPECIFIED
Issue or Number:3
Classification Code:PACS: 42.60.Da, 42.50.Lc, 07.60.Ly, 04.80.Nn.
Record Number:CaltechAUTHORS:20100513-140851915
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:18298
Deposited By: Tony Diaz
Deposited On:19 May 2010 16:38
Last Modified:09 Mar 2020 13:19

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