Stimulated Parametric Down-Conversion: From Foundational Coherence to Structured Light Applications
Abstract
Stimulated parametric down-conversion (StimPDC) is the seeded version of the process that underlies much of photonic quantum information. Replacing the vacuum at one input port with a coherent seed leaves the interaction Hamiltonian, the phase-matching function and the two-photon amplitude unchanged, while raising the output to levels accessible with ordinary classical detectors. This review treats the transverse spatial physics of that process. We show that a single relation, in which the idler amplitude is the pointwise product of the pump field with the complex conjugate of the seed, organizes results usually presented separately: the image and coherence transfer experiments of the 1990s; phase conjugation and its use for wavefront correction; the conservation and conjugation of orbital angular momentum, together with the generation of radial modes and geometric intensity patterns; and the processing of vector vortex beams carrying spatially varying polarization. We then consider StimPDC as an instrument rather than as an object of study, covering stimulated emission tomography, the experimental realization of Klyshko's advanced-wave picture, and the transfer of partial coherence, including the conservation of the twist phase of twisted Gaussian Schell-model beams. We close with the quantum regime, reached when the seed approaches the single-photon level or the idler is used as a herald, and with an assessment of open problems and prospective applications.
Related
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BibTeX
@misc{arruda2026stimulated,
title = {{Stimulated Parametric Down-Conversion: From Foundational Coherence to Structured Light Applications}},
author = {M. F. Z. Arruda and M. G. Damaceno and G. H. dos Santos and R. Medeiros de Araújo and N. Rubiano da Silva and S. P. Walborn and P. H. Souto Ribeiro},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.03241},
eprint = {2610.03241},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.03241},
}
RIS
TY - UNPB
TI - Stimulated Parametric Down-Conversion: From Foundational Coherence to Structured Light Applications
AU - M. F. Z. Arruda
AU - M. G. Damaceno
AU - G. H. dos Santos
AU - R. Medeiros de Araújo
AU - N. Rubiano da Silva
AU - S. P. Walborn
AU - P. H. Souto Ribeiro
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2610.03241
UR - https://arxiv.org/abs/2610.03241
AB - Stimulated parametric down-conversion (StimPDC) is the seeded version of the process that underlies much of photonic quantum information. Replacing the vacuum at one input port with a coherent seed leaves the interaction Hamiltonian, the phase-matching function and the two-photon amplitude unchanged, while raising the output to levels accessible with ordinary classical detectors. This review treats the transverse spatial physics of that process. We show that a single relation, in which the idler amplitude is the pointwise product of the pump field with the complex conjugate of the seed, organizes results usually presented separately: the image and coherence transfer experiments of the 1990s; phase conjugation and its use for wavefront correction; the conservation and conjugation of orbital angular momentum, together with the generation of radial modes and geometric intensity patterns; and the processing of vector vortex beams carrying spatially varying polarization. We then consider StimPDC as an instrument rather than as an object of study, covering stimulated emission tomography, the experimental realization of Klyshko's advanced-wave picture, and the transfer of partial coherence, including the conservation of the twist phase of twisted Gaussian Schell-model beams. We close with the quantum regime, reached when the seed approaches the single-photon level or the idler is used as a herald, and with an assessment of open problems and prospective applications.
ER -