Standard Quantum Limit for Probing Mechanical Energy Quantization

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...

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Main Authors: Danilishin, S. L., Chen, Yanbei, Miao, Haixing, Corbitt, Thomas R
Other Authors: LIGO (Observatory : Massachusetts Institute of Technology)
Format: Article
Language:en_US
Published: American Physical Society 2010
Online Access:http://hdl.handle.net/1721.1/51362
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author Danilishin, S. L.
Chen, Yanbei
Miao, Haixing
Corbitt, Thomas R
author2 LIGO (Observatory : Massachusetts Institute of Technology)
author_facet LIGO (Observatory : Massachusetts Institute of Technology)
Danilishin, S. L.
Chen, Yanbei
Miao, Haixing
Corbitt, Thomas R
author_sort Danilishin, S. L.
collection MIT
description 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.
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spelling mit-1721.1/513622022-10-01T22:49:58Z Standard Quantum Limit for Probing Mechanical Energy Quantization Danilishin, S. L. Chen, Yanbei Miao, Haixing Corbitt, Thomas R LIGO (Observatory : Massachusetts Institute of Technology) MIT Kavli Institute for Astrophysics and Space Research Corbitt, Thomas R. Corbitt, Thomas R. 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. Australian Research Council Department of Education, Science, and Training National Science Foundation Alexander von Humboldt Foundation’s Sofja Kovalevskaja Programme David and Barbara Groce startup fund at Caltech Sloan Foundation 2010-02-05T13:48:02Z 2010-02-05T13:48:02Z 2009-09 2009-04 Article http://purl.org/eprint/type/JournalArticle 0031-9007 http://hdl.handle.net/1721.1/51362 Miao, Haixing et al. “Standard Quantum Limit for Probing Mechanical Energy Quantization.” Physical Review Letters 103.10 (2009): 100402. (C) 2009 The American Physical Society. en_US http://dx.doi.org/10.1103/PhysRevLett.103.100402 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS
spellingShingle Danilishin, S. L.
Chen, Yanbei
Miao, Haixing
Corbitt, Thomas R
Standard Quantum Limit for Probing Mechanical Energy Quantization
title Standard Quantum Limit for Probing Mechanical Energy Quantization
title_full Standard Quantum Limit for Probing Mechanical Energy Quantization
title_fullStr Standard Quantum Limit for Probing Mechanical Energy Quantization
title_full_unstemmed Standard Quantum Limit for Probing Mechanical Energy Quantization
title_short Standard Quantum Limit for Probing Mechanical Energy Quantization
title_sort standard quantum limit for probing mechanical energy quantization
url http://hdl.handle.net/1721.1/51362
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AT miaohaixing standardquantumlimitforprobingmechanicalenergyquantization
AT corbittthomasr standardquantumlimitforprobingmechanicalenergyquantization