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

Research output: Contribution to journalArticle

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

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bells
angular momentum
orbitals
Hilbert space
photons
polarization

Keywords

  • hidden variable theories
  • local theories
  • light beams
  • entanglement

Cite this

Leach, J., Jack, B., Romero, J., Ritsch-Marte, M., Boyd, R. W., Jha, A. K., ... 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
Leach, J. ; Jack, B. ; Romero, J. ; Ritsch-Marte, M. ; Boyd, R.W. ; Jha, A.K. ; Barnett, S.M. ; Franke-Arnold, S. ; Padgett, M.J. / Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces. In: Optics Express. 2009 ; Vol. 17, No. 10. pp. 8287-8293.
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Leach, J, Jack, B, Romero, J, Ritsch-Marte, M, Boyd, RW, Jha, AK, Barnett, SM, Franke-Arnold, S & Padgett, MJ 2009, 'Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces', Optics Express, vol. 17, no. 10, pp. 8287-8293. https://doi.org/10.1364/OE.17.008287

Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces. / Leach, J.; Jack, B.; Romero, J.; Ritsch-Marte, M.; Boyd, R.W.; Jha, A.K.; Barnett, S.M.; Franke-Arnold, S.; Padgett, M.J.

In: Optics Express, Vol. 17, No. 10, 11.05.2009, p. 8287-8293.

Research output: Contribution to journalArticle

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Leach J, Jack B, Romero J, Ritsch-Marte M, Boyd RW, Jha AK et al. Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces. Optics Express. 2009 May 11;17(10):8287-8293. https://doi.org/10.1364/OE.17.008287