Quantum limits of cold damping with optomechanical coupling |
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Authors: | J-M Courty A Heidmann M Pinard |
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Institution: | (1) Laboratoire Kastler Brossel (website: www.spectro.jussieu.fr/Mesure), UPMC Case 74, 4 place Jussieu, 75252 Paris Cedex 05, France, FR |
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Abstract: | Thermal noise of a mirror can be reduced by cold damping. The displacement is measured with a high-finesse cavity and controlled
with the radiation pressure of a modulated light beam. We establish the general quantum limits of noise in cold damping mechanisms
and we show that the optomechanical system allows to reach these limits. Displacement noise can be arbitrarily reduced in
a narrow frequency band. In a wide-band analysis we show that thermal fluctuations are reduced as with classical damping whereas
quantum zero-point fluctuations are left unchanged. The only limit of cold damping is then due to zero-point energy of the
mirror.
Received 1st August 2001 and Received in final form 12 October 2001 |
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Keywords: | PACS 42 50 Lc Quantum fluctuations quantum noise and quantum jumps – 05 40 Jc Brownian motion – 04 80 Nn Gravitational wave detectors and experiments |
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