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Phys Rev Lett. 2009 Apr 24;102(16):163602. Epub 2009 Apr 23.

Continuous variable entanglement and squeezing of orbital angular momentum states.

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Department of Physics, Technical University of Denmark, Fysikvej, 2800 Kongens Lyngby, Denmark.


We report the first experimental characterization of the first-order continuous variable orbital angular momentum states. Using a spatially nondegenerate optical parametric oscillator (OPO) we produce quadrature entanglement between the two first-order Laguerre-Gauss modes. The family of orbital angular momentum modes is mapped on an orbital Poincaré sphere, where the mode's position on the sphere is spanned by the three orbital parameters. Using a nondegenerate OPO we produce squeezing of these parameters, and as an illustration, we reconstruct the "cigar-shaped" uncertainty volume on the orbital Poincaré sphere.

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