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Rio De La Plata Workshop on Laser Dynamics and Nonlinear Photonics

Quantum theoretical aspects of triple-photon states produced by a χ(3) process

Edgar A. Rojas-Gonzales, Audrey Dot, Adrien Borne, S. Richard, Patricia Segonds, Juan Ariel Levenson, Benoı̂t Boulanger, Kamel Bencheikh

Published Dec 1, 2013• 0 citations
Publisher

Abstract

We address here the quantum properties of triple photons generated by a third order nonlinear interaction. Though they have not yet been observed, triple-photon states constitute new quantum states of light showing three-body quantum properties and non-Gaussian statistics.
DOI
10.1109/ldnp.2013.6777415

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This article is devoted to the generation and the quantum correlations of triple photons, which correspond to the creation of three highly correlated photons from the splitting of a single photon by a phase-matched third-order parametric nonlinear process. These triples constitute a Greenberger–Horne–Zeilinger state of light and are interesting from a fundamental point of view but also for new schemes of quantum cryptography. We give here the classical and quantum descriptions of triple photon generation, we report on the first experimental demonstration of such a generation, and we calculate the Wigner function of three-photon quantum states of light.
We investigate the quantum entanglement of the three modes associated with the three-photon states obtained by triple-photon generation in a phase-matched third-order nonlinear optical interaction. Although the second-order processes have been extensively dealt with, there is no direct analogy between the second and third-order mechanisms. We show, for example, the absence of quantum entanglement between the quadratures of the three modes in the case of spontaneous parametric triple-photon generation. However, we show robust, seeding-dependent, genuine triple-photon entanglement in the fully seeded case.