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Conference on Lasers and Electro-Optics

Hidden Four-Mode Entanglement in a Single-pass Stimulated FWM

R. L. Rincón Celis, A. Montaña Guerrero, Gaurav Nirala, Théo Louzada Meireles, P. Nussenzveig, M. Martinelli, Alberto M. Marino, H. M. Florez

Published Jan 1, 2022• 0 citations
Publisher

Abstract

We present a hidden entanglement between four-modes generated by stimulated FWM. Theoretically, we show the violation of DGCZ inequality for different sideband bipartitions. Experimentally we present previous results of the auto-homodyne detection and the asymmetry in the sidebands.
DOI
10.1364/cleo_qels.2022.fm3b.3

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We investigate the possibility of an experimentally feasible cascaded four-wave mixing (FWM) system [Phys. Rev. Lett. 113, 023602 (2014)] to generate tripartite entanglement. We verify that genuine tripartite entanglement is present in this system by calculating the covariances of three output beams and then considering the violations of the inequalities of the three-mode entanglement criteria, such as two-condition criterion, single-condition criterion, optimal single-condition criterion and the positivity under partial transposition (PPT) criterion. We also consider the possibilities of the bipartite entanglement of any pair of the three output beams using the Duan-Giedke-Cirac-Zoller criterion and PPT criterion. We find that the tripartite entanglement and the bipartite entanglement for the two pairs are present in the whole gain region. The entanglement characteristics under different entanglement criteria are also considered. Our results pave the way for the realization and application of multipartite entanglement based on the cascaded FWM processes.
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Multipartite entanglement is a resource for quantum communication and computation. Vector four-wave mixing (FWM) in a fiber, driven by two strong optical pumps, couples the evolution of four weak optical sidebands (modes). Depending on the fiber dispersion and pump frequencies, the mode frequencies can be similar (separated by less than 1 THz) or dissimilar (separated by more than 10 THz). In this report, the discrete- and continuous-variable entanglement produced by vector FWM is studied in detail. Formulas are derived for the variances of, and correlations between, the mode quadratures and photon numbers. These formulas and related results show that the modes are four-partite entangled.