Third-order spontaneous parametric down-conversion in thin optical fibers as a photon-triplet source
Maria Corona, Karina Garay-Palmett, Alfred U'Ren

TL;DR
This paper analyzes third-order spontaneous parametric down-conversion in thin optical fibers to generate entangled photon triplets, providing detailed insights into phase matching, emission rates, and triplet states for experimental implementation.
Contribution
It offers a detailed theoretical analysis of TOSPDC in thin fibers, focusing on phase matching, emission rates, and triplet states, aiding experimental design.
Findings
Identifies phase matching conditions for TOSPDC in thin fibers.
Calculates photon triplet emission rates.
Analyzes frequency degenerate and nondegenerate TOSPDC configurations.
Abstract
We study the third order spontaneous parametric down conversion (TOSPDC) process, as a means to generate entangled photon triplets. Specifically, we consider thin optical fibers as the nonlinear medium to be used as the basis for TOSPDC in configurations where phase matching is attained through the use of more than one fiber transverse modes. Our analysis in this paper, which follows from our earlier paper Optics Letters 36, 190 (2011), aims to supply experimentalists with the details required in order to design a TOSPDC photon-triplet source. Specifically, our analysis focuses on the photon triplet state, on the rate of emission, and on the TOSPDC phasematching characteristics for the cases of frequency degenerate and frequency nondegenerate TOSPDC.
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