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Journal Article

Tomographic readout of an opto-mechanical interferometer

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Kaufer,  Henning
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Westphal,  Tobias
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Friedrich,  Daniel
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Schnabel,  Roman
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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1205.2241
(Preprint), 425KB

NJoP_14_9_095018.pdf
(Any fulltext), 778KB

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Citation

Kaufer, H., Sawadsky, A., Westphal, T., Friedrich, D., & Schnabel, R. (2012). Tomographic readout of an opto-mechanical interferometer. New Journal of Physics, 14: 095018. doi:10.1088/1367-2630/14/9/095018.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000E-EBC5-B
Abstract
The quantum state of light changes its nature when being reflected off a mechanical oscillator due to the latter's susceptibility to radiation pressure. As a result, a coherent state can transform into a squeezed state and can get entangled with the motion of the oscillator. The complete tomographic reconstruction of the state of light requires the ability to readout arbitrary quadratures. Here we demonstrate such a readout by applying a balanced homodyne detector to an interferometric position measurement of a thermally excited high-Q silicon nitride membrane in a Michelson-Sagnac interferometer. A readout noise of $\unit{1.9 \cdot 10^{-16}}{\metre/\sqrt{\hertz}}$ around the membrane's fundamental oscillation mode at $\unit{133}{\kilo\hertz}$ has been achieved, going below the peak value of the standard quantum limit by a factor of 8.2 (9 dB). The readout noise was entirely dominated by shot noise in a rather broad frequency range around the mechanical resonance.