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Phys Rev Lett. 2004 Mar 26;92(12):127903. Epub 2004 Mar 26.

Analysis and interpretation of high transverse entanglement in optical parametric down conversion.

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  • 1Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China.

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.

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