Analysis and Interpretation of High Transverse Entanglement in Optical Parametric Down Conversion

2003/12/10 by C. K. Law, J. H. Eberly · 3 citations
Computer Science · Physics and Astronomy · #Angular momentum #Laser-Matter Interactions and Applications #Monochromatic color #Optics #Orbital Angular Momentum in Optics #Photon #Physics #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum mechanics #Spontaneous parametric down-conversion #Transverse plane #quant-ph

paper · pdf · doi:10.1103/physrevlett.92.127903

4 pages, 4 figures

arxiv created 2003/12/10 · openalex publication_date 2004/03/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Quantum entanglement associated with transverse wave vectors of down conversion photons is investigated based on the Schmidt decomposition method. We show that transverse entanglement involves two variables: orbital angular momentum and transverse frequency. We show that in the monochromatic limit high values of entanglement are closely controlled by a single parameter resulting from the competition between (transverse) momentum conservation and longitudinal phase matching. We examine the features of the Schmidt eigenmodes, and indicate how entanglement can be enhanced by suitable mode selection methods.

Citations

• Experimental quantum teleportation
• Eliminating frequency and space-time correlations in multiphoton states
• Multimode Hong-Ou-Mandel Interference
• Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels

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