Critical fluctuations and entanglement in the nondegenerate parametric oscillator

Dechoum, K., Drummond, P. D., Chaturvedi, S. and Reid, M. D. (2004) Critical fluctuations and entanglement in the nondegenerate parametric oscillator. Physical Review A, 70 5: 053807-053831. doi:10.1103/PhysRevA.70.053807

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Author Dechoum, K.
Drummond, P. D.
Chaturvedi, S.
Reid, M. D.
Title Critical fluctuations and entanglement in the nondegenerate parametric oscillator
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2004-01-01
Sub-type Article (original research)
DOI 10.1103/PhysRevA.70.053807
Open Access Status File (Publisher version)
Volume 70
Issue 5
Start page 053807
End page 053831
Total pages 24
Editor B Crasemann
Place of publication USA
Publisher American Physical Society
Language eng
Subject C1
240301 Atomic and Molecular Physics
780102 Physical sciences
240402 Quantum Optics and Lasers
Abstract We present a fully quantum mechanical treatment of the nondegenerate optical parametric oscillator both below and near threshold. This is a nonequilibrium quantum system with a critical point phase transition, that is also known to exhibit strong yet easily observed squeezing and quantum entanglement. Our treatment makes use of the positive P representation and goes beyond the usual linearized theory. We compare our analytical results with numerical simulations and find excellent agreement. We also carry out a detailed comparison of our results with those obtained from stochastic electrodynamics, a theory obtained by truncating the equation of motion for the Wigner function, with a view to locating regions of agreement and disagreement between the two. We calculate commonly used measures of quantum behavior including entanglement, squeezing, and Einstein-Podolsky-Rosen (EPR) correlations as well as higher order tripartite correlations, and show how these are modified as the critical point is approached. These results are compared with those obtained using two degenerate parametric oscillators, and we find that in the near-critical region the nondegenerate oscillator has stronger EPR correlations. In general, the critical fluctuations represent an ultimate limit to the possible entanglement that can be achieved in a nondegenerate parametric oscillator.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Continuous Variable Systems
2-photon Quantum Optics
Podolsky-rosen Paradox
Stochastic Electrodynamics
2nd-harmonic Generation
Squeezed States
Q-Index Code C1

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Created: Wed, 15 Aug 2007, 14:34:42 EST