Entangled Bessel beams
Melanie McLaren, Megan Agnew, Jonathan Leach, Filippus S. Roux, Miles, J. Padgett, Andrew Forbes

TL;DR
This paper explores the use of Bessel-Gauss modes for orbital angular momentum entanglement, demonstrating increased entanglement and high-dimensional state reconstruction through Bell tests and spectrum flattening.
Contribution
It introduces Bessel-Gauss modes as a superior basis for OAM entanglement, enabling higher entanglement and better state reconstruction compared to traditional modes.
Findings
Increased OAM entanglement with BG modes
Successful violation of CHSH inequality
Reconstruction of high-dimensional entangled states
Abstract
Orbital angular momentum (OAM) entanglement is investigated in the Bessel-Gauss (BG) basis. Having a readily adjustable radial scale, BG modes provide a more favourable basis for OAM entanglement over Laguerre-Gaussian (LG) modes. The OAM bandwidth in terms of BG modes can be increased by selection of particular radial modes and leads to a flattening of the spectrum. The flattening of the spectrum allows for higher entanglement. We demonstrate increased entanglement in terms of BG modes by performing a Bell-type experiment and violating the appropriate Clauser Horne Shimony Holt (CHSH) inequality. In addition, we reconstruct the quantum state of BG modes entangled in high-dimensions.
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