Three-photon generation by means of third-order spontaneous parametric down-conversion in bulk crystals
N. A. Borshchevskaya, K. G. Katamadze, S. P. Kulik, M. V. Fedorov

TL;DR
This paper explores the generation of three-photon states via third-order spontaneous parametric down-conversion in bulk crystals, focusing on detection rates and experimental feasibility in rutile and calcite.
Contribution
It provides a detailed analysis of three-photon generation rates considering realistic detection constraints in nonlinear crystals with inversion symmetry.
Findings
Calculated differential count rates for rutile and calcite crystals.
Analyzed the impact of limited detection ranges on experimental detection rates.
Provided insights into optimizing three-photon generation experiments.
Abstract
We investigate the third order spontaneous parametric down-conversion process in a nonlinear media with inversion centers. Specifically, we analyze in details the three-photon differential count rate in unit frequency and angular regions, total count rate and measurement time for rutile and calcite crystals which have comparatively large cubic susceptibilities. Special attention is given to consideration of limited frequency and angular detection ranges in order to calculate experimentally available detection rate values.
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