Can We Conjugate the Orbital Angular Momentum of a Single Photon with Nonlinear Optics? A Theoretical Analysis

Fuente: arXiv
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Auteurs principaux: Luck, Tobey, Aguilar-Cardoso, Aarón, Li, Cheng, Ferrer-Garcia, Manuel, Upham, Jeremy, Lundeen, Jeff, Boyd, Robert
Format: Preprint
Publié: 2025
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author Luck, Tobey
Aguilar-Cardoso, Aarón
Li, Cheng
Ferrer-Garcia, Manuel
Upham, Jeremy
Lundeen, Jeff
Boyd, Robert
author_facet Luck, Tobey
Aguilar-Cardoso, Aarón
Li, Cheng
Ferrer-Garcia, Manuel
Upham, Jeremy
Lundeen, Jeff
Boyd, Robert
contents Stimulated parametric down-conversion (StimPDC) produces an idler beam that exhibits a phase conjugate of the spatial structure of the classical seed beam. Extending this effect to the single-photon regime can, in principle, enable the control of the orbital angular momentum of single photons. However, its experimental implementation remains challenging due to the lower photon flux of realistic single-photon sources compared to a classical pump beam, which causes the StimPDC process to occur less frequently compared to its spontaneous counterpart. To overcome this, we propose a cascaded parametric down-conversion scheme, in which the signal photon from a spontaneously down-converted pair seeds the StimPDC process, while the idler photon heralds the seed's presence. This configuration uses coincidence detection to effectively post-select for stimulated events among the background of spontaneous contributions. We show that phase conjugation at the single-photon level manifests as a bias towards equal orbital angular momentum between the heralding idler and the stimulated idler. Our results offer a practical route to manipulate single-photon correlations in the orbital angular momentum degree of freedom and could have implications for applications such as free-space quantum communication and quantum-enhanced sensing.
format Preprint
id arxiv_https___arxiv_org_abs_2509_01792
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Can We Conjugate the Orbital Angular Momentum of a Single Photon with Nonlinear Optics? A Theoretical Analysis
Luck, Tobey
Aguilar-Cardoso, Aarón
Li, Cheng
Ferrer-Garcia, Manuel
Upham, Jeremy
Lundeen, Jeff
Boyd, Robert
Optics
Quantum Physics
Stimulated parametric down-conversion (StimPDC) produces an idler beam that exhibits a phase conjugate of the spatial structure of the classical seed beam. Extending this effect to the single-photon regime can, in principle, enable the control of the orbital angular momentum of single photons. However, its experimental implementation remains challenging due to the lower photon flux of realistic single-photon sources compared to a classical pump beam, which causes the StimPDC process to occur less frequently compared to its spontaneous counterpart. To overcome this, we propose a cascaded parametric down-conversion scheme, in which the signal photon from a spontaneously down-converted pair seeds the StimPDC process, while the idler photon heralds the seed's presence. This configuration uses coincidence detection to effectively post-select for stimulated events among the background of spontaneous contributions. We show that phase conjugation at the single-photon level manifests as a bias towards equal orbital angular momentum between the heralding idler and the stimulated idler. Our results offer a practical route to manipulate single-photon correlations in the orbital angular momentum degree of freedom and could have implications for applications such as free-space quantum communication and quantum-enhanced sensing.
title Can We Conjugate the Orbital Angular Momentum of a Single Photon with Nonlinear Optics? A Theoretical Analysis
topic Optics
Quantum Physics
url https://arxiv.org/abs/2509.01792