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Optical Manipulation and Structured Materials Conference (OMC)

Parameter optimization for observation of high-dimensional effect in orbital angular momentum entanglement

Yoko Miyamoto, Shigenori Hayase, Yuma Sawa

Published Apr 24, 2018• 0 citations
Publisher

Abstract

Anharmonic behavior of coincidence count rate obtained with the hologram shifting method can be used to probe highdimensional effect of orbital angular momentum entangled photon pairs. We perform numerical analysis for the case where the photon pairs are created by spontaneous parametric downconversion, and both photons are observed through singlemode fibers after mode conversion with phase-only holograms. The center of the holograms are shifted by a constant distance from the beam axis and the relative shift direction is scanned. We explore effects of pump beam width and crystal length with respect to the hologram shift distance.

DOI
10.1117/12.2319396

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Anharmonic behavior of coincidence count rate obtained with the hologram shifting method can be used to probe highdimensional effect of orbital angular momentum entangled photon pairs. We perform numerical analysis for the case where the photon pairs are created by spontaneous parametric downconversion, and both photons are observed through singlemode fibers after mode conversion with phase-only holograms. The center of the holograms are shifted by a constant distance from the beam axis and the relative shift direction is scanned. We explore effects of pump beam width and crystal length with respect to the hologram shift distance.
We calculate the coincidence count probabilities when the photon pairs entangled in orbital angular momentum generated via spontaneous parametric downconversion are measured by using holograms with an m-fold dislocation, considering the nonzero crystal length. We find that the coincidence probabilities related to azimuthal changes in hologram positions deviate significantly from a sinusoidal curve, which has often been assumed in simple analyses. It is found that the main cause of this effect is the high-dimensional entanglement in Laguerre-Gaussian modes. We also find that the crystal length causes the hologram positions to change for the maximum coincidence probabilities.
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The experimental realization of multidimensional quantum states may lead to unexplored and interesting physics, as well as advanced quantum communication protocols. The orbital angular momentum of photons is a well suitable discrete degree of freedom for implementing high-dimensional quantum systems. The standard method to generate and manipulate such photon modes is to use bulk and fixed optics. Here the authors demonstrate the utilization of a spatial light modulator to manipulate the orbital angular momentum of entangled photons generated in spontaneous parametric downconversion. They show that their setup allows them to realize photonic entanglement of up to 21 dimensions, which in principle can be extended to even larger dimensions.