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Quantum-classical transition of correlations of two coupled cavities

Lee, Tony E. and Cross, M. C. (2013) Quantum-classical transition of correlations of two coupled cavities. Physical Review A, 88 (1). Art. No. 013834 . ISSN 1050-2947.

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We study the difference between quantum and classical behavior in a pair of nonidentical cavities with second-harmonic generation. In the classical limit, each cavity has a limit-cycle solution, in which the photon number oscillates periodically in time. Coupling between the cavities leads to synchronization of the oscillations and classical correlations between the cavities. In the quantum limit, there are quantum correlations due to entanglement. The quantum correlations persist even when the cavities are far off resonance with each other, in stark contrast with the classical case. We also find that the quantum and classical limits are connected by an intermediate regime of almost no correlations. Our results can be extended to a wide variety of quantum models.

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Additional Information:© 2013 American Physical Society. Received 7 September 2012; published 22 July 2013. We thank Mark Rudner and Sarang Gopalakrishnan for useful discussions. This work was supported by NSF through Grant No. DMR-1003337 and through a grant to ITAMP.
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Issue or Number:1
Classification Code:PACS: 42.50.Lc, 05.45.Xt, 03.65.Yz, 03.65.Sq
Record Number:CaltechAUTHORS:20130830-094602060
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41022
Deposited By: Tony Diaz
Deposited On:30 Aug 2013 17:36
Last Modified:03 Oct 2019 05:45

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