Picture water droplets

Developing mathematical theories of the physical world: Open Access research on fluid dynamics from Strathclyde

Strathprints makes available Open Access scholarly outputs by Strathclyde's Department of Mathematics & Statistics, where continuum mechanics and industrial mathematics is a specialism. Such research seeks to understand fluid dynamics, among many other related areas such as liquid crystals and droplet evaporation.

The Department of Mathematics & Statistics also demonstrates expertise in population modelling & epidemiology, stochastic analysis, applied analysis and scientific computing. Access world leading mathematical and statistical Open Access research!

Explore all Strathclyde Open Access research...

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

Leach, J. and Jack, B. and Romero, J. and Ritsch-Marte, M. and Boyd, R.W. and Jha, A.K. and Barnett, S.M. and Franke-Arnold, S. and Padgett, M.J. (2009) Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces. Optics Express, 17 (10). pp. 8287-8293. ISSN 1094-4087

[img]
Preview
PDF
3B320156_C8BB_C84B_B779FE2D886C32E5_179412.pdf
Final Published Version

Download (968kB) | Preview

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.