## Entangled Bessel-Gaussian beams |

Optics Express, Vol. 20, Issue 21, pp. 23589-23597 (2012)

http://dx.doi.org/10.1364/OE.20.023589

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### Abstract

Orbital angular momentum (OAM) entanglement is investigated in the Bessel-Gaussian (BG) basis. Having a readily adjustable radial scale, BG modes provide an alternative basis for OAM entanglement over Laguerre-Gaussian modes. We show that the OAM bandwidth in terms of BG modes can be increased by selection of particular radial wavevectors and leads to a flattening of the spectrum, which allows for higher dimensionality in the entangled state. We demonstrate entanglement in terms of BG modes by performing a Bell-type experiment and showing a violation of the Clauser-Horne-Shimony-Holt inequality for the *ℓ* = ±1 subspace. In addition, we use quantum state tomography to indicate higher-dimensional entanglement in terms of BG modes.

© 2012 OSA

**OCIS Codes**

(230.6120) Optical devices : Spatial light modulators

(270.0270) Quantum optics : Quantum optics

**ToC Category:**

Quantum Optics

**History**

Original Manuscript: August 1, 2012

Revised Manuscript: September 21, 2012

Manuscript Accepted: September 22, 2012

Published: October 1, 2012

**Citation**

Melanie McLaren, Megan Agnew, Jonathan Leach, Filippus S. Roux, Miles J. Padgett, Robert W. Boyd, and Andrew Forbes, "Entangled Bessel-Gaussian beams," Opt. Express **20**, 23589-23597 (2012)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-21-23589

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