Unified space-time description of pulsed twin beams

Abstract

This work provides a mathematical derivation of a quasi-stationary model for multimode parametric down-conversion, which was presented in [Gatti et al., Sci. Rep. 13, 16786] with heuristic arguments. The model is here derived from the 3D+1 propagation equation of the quantum fields in a nonlinear crystal, and its approximations discussed thoroughly. Thanks to its relative simplicity, and to the fact that it is valid in any gain regime, both at a quantum and classical level, it allows a unified description of disparate experimental observations conducted over the last 20 years, often described in the past by means of limited ad hoc models.

Accepted for publication on Phyl.Trans. of The Royal Soc. A, will appear with DOI 10.1098/rsta.2023.0334. Main ms: 14 pages, 6 figures. Supplementary: 9 pages, 6 figures