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Universal quantum entanglement between an oscillator and continuous fields

Miao, Haixing and Danilishin, Stefan and Chen, Yanbei (2010) Universal quantum entanglement between an oscillator and continuous fields. Physical Review A, 81 (5). Art. No. 052307. ISSN 1050-2947.

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Quantum entanglement has been actively sought in optomechanical and electromechanical systems. The simplest system is a mechanical oscillator interacting with a coherent optical field, while the oscillator also suffers from thermal decoherence. With a rigorous functional analysis, we develop a mathematical framework for treating quantum entanglement that involves infinite degrees of freedom. We show that the quantum entanglement is always present between the oscillator and continuous optical field—even when the environmental temperature is high and the oscillator is highly classical. Such a universal entanglement is also shown to be able to survive more than one mechanical oscillation period if the characteristic frequency of the optomechanical interaction is larger than that of the thermal noise. In addition, we introduce effective optical modes that are ordered by the entanglement strength to better understand the entanglement structure, analogously to the energy spectrum of an atomic system. In particular, we derive the optical mode that is maximally entangled with the mechanical oscillator, which will be useful for future quantum computing and encoding information into mechanical degrees of freedom.

Item Type:Article
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Chen, Yanbei0000-0002-9730-9463
Additional Information:© 2010 The American Physical Society. Received 7 August 2009; published 7 May 2010. We thank F. Ya. Khalili, H. Müller-Ebhardt, H. Rehbein, K. Somiya, and our colleagues at the MQM group for invaluable discussions. The research of H. M. was supported by the Australian Research Council and the Department of Education, Science, and Training. S. D. was supported by the Alexander von Humboldt Foundation. Y. C. was supported by theAlexander vonHumboldt Foundation’s SofjaKovalevskaja Program, NSF grants PHY-0653653 and PHY-0601459, as well as the David and Barbara Groce startup fund at Caltech.
Funding AgencyGrant Number
Australian Research CouncilUNSPECIFIED
Department of Education, Science, and Training, AustraliaUNSPECIFIED
Alexander von Humboldt FoundationUNSPECIFIED
David and Barbara Groce startup fund, CaltechUNSPECIFIED
Issue or Number:5
Classification Code:PACS: 03.67.Bg, 03.65.Ta, 03.67.Mn, 42.50.Wk.
Record Number:CaltechAUTHORS:20100616-112902668
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:18705
Deposited By: Tony Diaz
Deposited On:09 Jul 2010 20:33
Last Modified:09 Mar 2020 13:18

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