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arXiv:1910.02701 · Physical Review A

Progress toward third-order parametric down-conversion in optical fibers

Andrea Cavanna, Jonas Hammer, Cameron Okoth, Erasto Ortiz-Ricardo, Héctor Cruz-Ramírez, Karina Garay-Palmett, Alfred B. U’Ren, Michael H. Frosz, Xin Jiang, Nicolas Y. Joly, Maria V. Chekhova

Published Mar 30, 2020• 34 citations
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Abstract

Optical fibers have been considered an optimal platform for third-order parametric down-conversion since they can potentially overcome the weak third-order nonlinearity by their long interaction length. Here we present, in the first part, a theoretical derivation for the conversion rate both in the case of spontaneous generation and in the presence of a seed beam. Then we review three types of optical fibers and we examine their properties in terms of conversion efficiency and practical feasibility.

DOI
10.1103/physreva.101.033840

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Optical fibers have been considered an optimal platform for third-order parametric down-conversion since they can potentially overcome the weak third-order nonlinearity by their long interaction length. Here we present, in the first part, a theoretical derivation for the conversion rate both in the case of spontaneous generation and in the presence of a seed beam. Then we review three types of optical fibers and we examine their properties in terms of conversion efficiency and practical feasibility.
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This paper presents a study of the phasematching properties of the third-order parametric down-conversion process in multimode optical fibers with a step-index profile. Through this process, entangled photon triplets can be generated in the spontaneous regime. We show that phasematching is achieved in a wide range of fiber geometries, provided that the pump field propagates in a higher-order mode. Furthermore, we show the nonlinear coefficient and the absolute emitted flux for each source configuration, evaluated from expressions derived by us in previous theoretical studies concerning the spontaneous and stimulated emission regimes.
We study the processes of spontaneous four wave mixing and of third-order spontaneous parametric downconversion in optical fibers, as the basis for the implementation of photon-pair and photon-triplet sources. We present a comparative analysis of the two processes including expressions for the respective quantum states and plots of the joint spectral intensity, a discussion of phasematching characteristics, and expressions for the conversion efficiency. We have also included a comparative study based on numerical results for the conversion efficiency for the two sources, as a function of several key experimental parameters.