Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. W. Boyd, A. K. Jha, S. M. Barnett, S. Franke-Arnold, M. J. Padgett

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Abstract

We observe entanglement between photons in controlled super-position states of orbital angular momentum (OAM). By drawing a direct analogy between OAM and polarization states of light, we demonstrate the entangled nature of high order OAM states generated by spontaneous downconversion through violation of a suitable Clauser Horne Shimony Holt (CHSH)-Bell inequality. We demonstrate this violation in a number of two-dimensional subspaces of the higher dimensional OAM Hilbert space. (C) 2009 Optical Society of America

Original languageEnglish
Pages (from-to)8287-8293
Number of pages7
JournalOptics Express
Volume17
Issue number10
DOIs
Publication statusPublished - 11 May 2009

Cite this

Leach, J., Jack, B., Romero, J., Ritsch-Marte, M., Boyd, R. W., Jha, A. K., Barnett, S. M., Franke-Arnold, S., & Padgett, M. J. (2009). Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces. Optics Express, 17(10), 8287-8293. https://doi.org/10.1364/OE.17.008287