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Research in Optical Sciences

The Interference of Light with Orbital Angular Momentum at Photo-count Level and Born’s Rule

Alcenísio J. Jesus‐Silva, E. J. S. Fonseca, Jandir M. Hickmann

Published Jan 1, 2012• 0 citations
Publisher

Abstract

We use photon’s orbital angular momentum two-dimensional properties to obtain a triangular quantum interference pattern, confirming that only pairs contribute to the two-dimensional photon detection probability, as established by Born’s rule.
DOI
10.1364/qim.2012.qw3b.4

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We use photon OAM's two-dimensional properties to extend the double-slit to a two-dimensional triple-slit configuration in the shape of an equilateral triangle, obtaining a bidimensional triangular interference pattern at photon level, whose size depends on the OAM amount. We also show that for this pattern, in contrast with the parallel two- and three-slit cases, the azimuthal phase plays a fundamental role, being undistinguishable from the path phase. Our results confirm that only pairs, here associated to path and azimuthal phases, contribute to the two-dimensional photon detection probability, as established by Born's rule.
The double-slit at single photon or electron level is the ubiqutous quantum interference experiment with the path phase playing a key role. On the other hand, photon's orbital angular momentum (OAM) brings a new dimension to interference problems with the spiral phase degree of freedom. In this work, we use OAM's two dimensional properties to extended the double-slit to a triple-slit configuration in the shape of an equilateral triangle, obtaining a triangular latticed single-photon counting interference pattern. In order to understand this interference pattern in terms of wave-particle duality, we have to take into account that, in contrast with the parallel double and triple slit cases, the azimuthal phase also plays a fundamental role, being undistinguishable from path phase.