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Bright tripartite entanglement in triply concurrent parametric down conversion

Ashton S. Bradley, M. K. Olsen, Olivier Pfister, Raphael C. Pooser

Published May 18, 2005• 5 citations
OpenAlex

Abstract

We show that an intracavity optical device which utilises concurrent $\\chi^{(2)}$ nonlinearities can produce output beams which exhibit strong tripartite entanglement. Above threshold a significant degree of entanglement is predicted for beams with macroscopic intensities. We also demonstrate two independent ways that the system can exhibit a three mode form of the Einstein-Podolsky-Rosen paradox.

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We show that an intracavity optical device which utilises concurrent chi(2)\\chi^{(2)}chi(2) nonlinearities can produce output beams which exhibit strong tripartite entanglement. Above threshold a significant degree of entanglement is predicted for beams with macroscopic intensities. We also demonstrate two independent ways that the system can exhibit a three mode form of the Einstein-Podolsky-Rosen paradox.
We compare theoretically the tripartite entanglement available from the use of three concurrent χ(2)χ^{(2)}χ(2) nonlinearities and three independent squeezed states mixed on beamsplitters, using the van Loock-Furusawa inequalities. We also define three-mode generalisations of the Einstein-Podolsky-Rosen paradox which are an alternative for demonstrating the inseparability of the density matrix.
We show that two evanescently coupled ${\ensuremath{\chi}}^{(2)}$ parametric down-converters inside a Fabry-Perot cavity provide a tunable source of quadrature squeezed light, Einstein-Podolsky-Rosen (EPR) correlations and quantum entanglement. Analyzing the operation in the below threshold regime, we show how these properties can be controlled by adjusting the coupling strengths and the cavity detunings. As this can be implemented with integrated optics, it provides a possible route to rugged and stable EPR sources.
We calculate the quantum correlations existing among the three output fields (pump, signal, and idler) of a triply resonant nondegenerate optical parametric oscillator operating above threshold. By applying the standard criteria [P. van Loock and A. Furusawa, Phys. Rev. A 67, 052315 (2003)], we show that strong tripartite continuous-variable entanglement is present in this well-known and simple system. Furthermore, since the entanglement is generated directly from a nonlinear process, the three entangled fields can have very different frequencies, opening the way for multicolored quantum information networks.