A A Clerk et al 2008 New J. Phys. 10 095010 doi:10.1088/1367-2630/10/9/095010
Back-action evasion and squeezing of a mechanical resonator using a cavity detector
Focus on Mechanical Systems at the Quantum LimitA A Clerk1,4, F Marquardt2 and K Jacobs3
Show affiliationsPart of Focus on Mechanical Systems at the Quantum Limit
We study the quantum measurement of a cantilever using a parametrically coupled electromagnetic cavity which is driven at the two sidebands corresponding to the mechanical motion. This scheme, originally due to Braginsky et al (Braginsky V, Vorontsov Y I and Thorne K P 1980 Science 209 547), allows a back-action free measurement of one quadrature of the cantilever's motion, and hence the possibility of generating a squeezed state. We present a complete quantum theory of this system, and derive simple conditions on when the quantum limit on the added noise can be surpassed. We also study the conditional dynamics of the measurement, and discuss how such a scheme (when coupled with feedback) can be used to generate and detect squeezed states of the oscillator. Our results are relevant to experiments in optomechanics, and to experiments in quantum electromechanics employing stripline resonators coupled to mechanical resonators.
- PACS
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42.50.Dv Quantum state engineering and measurements
42.50.Lc Quantum fluctuations, quantum noise, and quantum jumps
07.10.Cm Micromechanical devices and systems
- Subjects
- Dates
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Issue 9 (September 2008)
Received 14 April 2008
Published 30 September 2008
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Back-action evasion and squeezing of a mechanical resonator using a cavity detector
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