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Physics Letters A

Orbital angular momentum filter of photon based on spin-orbital angular momentum coupling

Dong‐Xu Chen, Pei Zhang, Ruifeng Liu, Hongrong Li, Hong Gao, Fuli Li

Published Jun 13, 2015• 15 citations
Publisher
DOI
10.1016/j.physleta.2015.06.022

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We present a full vectorial analysis of the parametric downconversion process using a pump Bessel beam and a photon description based on Bessel wavefunctions. We find that, under the considered geometry, optical angular momentum is conserved but the crystal induces a coupling between the optical spin angular momentum (SAM) and the optical orbital angular momentum (OAM) ruled by the nonlinear properties of the crystal via the second order susceptibility tensor ?ijk(2). This leads to nontrivial correlations between the expected values of the SAM and OAM of the resulting two-photon states. Distributions of orbital angular momentum of the downconverted photons are evaluated in detail for a specific set-up.
We propose a single-photon spin-orbit entangled state analyzer for investigating the effective dimensionality of the Hilbert space spanned by spin and orbital angular momentum (OAM) states of twin photons from a spontaneous parametric downconversion (SPDC). The Pancharatnam-Berry phase element, the key element called a q plate equipped in the analyzer, induces the coupling between spin and OAM. It is found that the Shannon dimensionality of quantum channels in SPDC can be evidently increased owing to the spin-orbit hyperentanglement.
The optical "spin-orbit" coupling occurring in a suitably patterned nonuniform birefringent plate known as a "q plate" allows entangling the polarization of a single photon with its orbital angular momentum (OAM). This process, in turn, can be exploited for building a bidirectional "spin-OAM interface," capable of transposing the quantum information from the spin to the OAM degree of freedom of photons and vice versa. Here, we experimentally demonstrate this process by single-photon quantum tomographic analysis. Moreover, we show that two-photon quantum correlations such as those resulting from coalescence interference can be successfully transferred into the OAM degree of freedom.