Miao, Haixing and Danilishin, Stefan L. and Corbitt, Thomas and Chen, Yanbei (2009) Standard Quantum Limit for Probing Mechanical Energy Quantization. Physical Review Letters, 103 (10). Art. No. 100402. ISSN 0031-9007 http://resolver.caltech.edu/CaltechAUTHORS:20090923-143134071
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Abstract
We derive a standard quantum limit for probing mechanical energy quantization in a class of systems with mechanical modes parametrically coupled to external degrees of freedom. To resolve a single mechanical quantum, it requires a strong-coupling regime—the decay rate of external degrees of freedom is smaller than the parametric coupling rate. In the case for cavity-assisted optomechanical systems, e.g., the one proposed by Thompson et al. [Nature (London) 452, 72 (2008)], zero-point motion of the mechanical oscillator needs to be comparable to the linear dynamical range of the optical system which is characterized by the optical wavelength divided by the cavity finesse.
| Item Type: | Article | ||||||||||||||||||||
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| Additional Information: | ©2009 The American Physical Society. Received 17 April 2009; published 2 September 2009. We thank F.Ya. Khalili, H. Müller-Ebhardt, H. Rehbein, and our colleagues at TAPIR and MQM group for fruitful discussions.We also thank J. G. E. Harris and F. Marquardt for critical comments and invaluable suggestions on the early manuscript. H. M. thanks D. G. Blair, L. Ju, and C. Zhao for their keen support of his visits to Caltech where this work was done. H. M. is supported by the Australian Research Council and the Department of Education, Science, and Training. S. D. and Y. C. are supported by the Alexander von Humboldt Foundation’s Sofja Kovalevskaja Programme, NSF Grants No. PHY-0653653 and No. PHY-0601459, as well as the David and Barbara Groce startup fund at Caltech. T. C. is supported by NSF Grants No. PHY-0107417 and No. PHY-0457264, and by the Sloan Foundation. | ||||||||||||||||||||
| Group: | TAPIR | ||||||||||||||||||||
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| Classification Code: | PACS numbers: # 03.65.Ta Foundations of quantum mechanics; measurement theory # 42.50.Pq Cavity quantum electrodynamics; micromasers # 42.79.Gn Optical waveguides and couplers # 85.85.+j Micro- and nano-electromechanical systems (MEMS/NEMS) and devices | ||||||||||||||||||||
| Record Number: | CaltechAUTHORS:20090923-143134071 | ||||||||||||||||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20090923-143134071 | ||||||||||||||||||||
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| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||
| ID Code: | 16013 | ||||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||||
| Deposited By: | George Porter | ||||||||||||||||||||
| Deposited On: | 02 Oct 2009 23:03 | ||||||||||||||||||||
| Last Modified: | 26 Dec 2012 11:25 |
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