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Journal of Physics B Atomic Molecular and Optical Physics

Continuous variable tripartite entanglement from twin nonlinearities

M. K. Olsen, Ashton S. Bradley

Published Dec 5, 2005• 40 citations
Publisher

Abstract

In this work, we analyse and compare the continuous variable tripartite entanglement available from the use of two concurrent or cascaded χ (2) nonlinearities. We examine both idealized travelling-wave models and more experimentally realistic intracavity models, showing that tripartite entangled outputs are readily producible. These may be a useful resource for applications such as quantum cryptography and teleportation.

DOI
10.1088/0953-4075/39/1/011

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In this work, we analyse and compare the continuous variable tripartite entanglement available from the use of two concurrent or cascaded χ (2) nonlinearities. We examine both idealized travelling-wave models and more experimentally realistic intracavity models, showing that tripartite entangled outputs are readily producible. These may be a useful resource for applications such as quantum cryptography and teleportation.
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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 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.
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