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Oscillator-field model of moving mirrors in quantum optomechanics

Galley, Chad R. and Behunin, Ryan O. and Hu, B. L. (2013) Oscillator-field model of moving mirrors in quantum optomechanics. Physical Review A, 87 (4). Art. No. 043832. ISSN 2469-9926.

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We present a microphysics model for the kinematics and dynamics of optomechanics describing the coupling between an optical field, modeled here by a massless scalar field, and the internal and mechanical degrees of freedom of a movable mirror. Instead of implementing boundary conditions on the field, we introduce an internal degree of freedom and its dynamics to describe the mirror's reflectivity. Depending on parameter values, the internal degrees of freedom of the mirror in this model capture a range of its optical activities, from those exhibiting broadband reflective properties to those reflecting only in a narrow band. After establishing the model we show how appropriate parameter choices lead to other well-known optomechanical models, including those of Barton and Calogeracos [Ann. Phys. (NY) 238, 227 (1995)], Calogeracos and Barton, Ann. Phys. (NY) 238, 268 (1995), Law [Phys. Rev. A 51, 2537 (1995)], and Golestanian and Kardar [Phys. Rev. Lett. 78, 3421 (1997); Phys. Rev. A 58, 1713 (1998)]. As a simple illustrative application we derive classical radiation pressure cooling from this model. We then connect our microphysics model to the common descriptions of a moving mirror coupled to radiation pressure (e.g., with N x coupling, where N is the photon number and x is the mirror displacement), making explicit the underlying assumptions made in these phenomenological models. Our model is also applicable to the lesser explored case of small N , which existing models based on sideband approximations [Kimble et al., Phys. Rev. D 65, 022002 (2001)] have not addressed. Interestingly, we also find that slow-moving mirrors in our model can be described by the ubiquitous Brownian motion model of quantum open systems. The scope of applications of this model ranges from a full quantum-mechanical treatment of radiation pressure cooling and quantum entanglement between macroscopic mirrors to the back reaction of Hawking radiation on black-hole evaporation in a moving mirror analog.

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URLURL TypeDescription Paper
Alternate Title:Theory of optomechanics: Oscillator-field model of moving mirrors
Additional Information:© 2013 American Physical Society. Received 7 May 2012; published 24 April 2013. C.G. was supported in part by an appointment to the NASA Postdoctoral Program at the Jet Propulsion Laboratory administered by Oak Ridge Associated Universities through a contract with NASA and in part by a NIST Gaithersburg grant awarded to the University of Maryland when this work was started. R.B. gratefully acknowledges the support of the US Department of Energy through the LANL LDRD program. B.L.H. wishes to thank Prof. Jason Twamley, director of the Centre for Quantum Computer Technology at Macquarie University, for his warm hospitality in February–March 2011 during which this work was partly carried out. His research was partially supported by NSF Grant No. PHY-0801368 to the University of Maryland.
Funding AgencyGrant Number
NASA Postdoctoral ProgramUNSPECIFIED
National Institute of Standards and Technology (NIST)UNSPECIFIED
Department of Energy (DOE)UNSPECIFIED
Issue or Number:4
Classification Code:PACS number(s): 42.50.Pq, 42.50.Ct
Record Number:CaltechAUTHORS:20130305-143748836
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:37318
Deposited By: JoAnn Boyd
Deposited On:27 Mar 2013 18:10
Last Modified:03 Oct 2019 04:46

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