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 that genuine triple-photon entanglement is obtained in the fully seeded case, and its efficiency increases with the seeding level.
@article{arxiv.1709.03317,
title = {Continuous variables triple-photon states quantum entanglement},
author = {E. A. Rojas Gonzalez and A. Borne and B. Boulanger and J. A. Levenson and K. Bencheikh},
journal= {arXiv preprint arXiv:1709.03317},
year = {2018}
}