English

Experimental Violation of Bell's Inequality in Spatial-Parity Space

Quantum Physics 2008-05-06 v1

Abstract

We report the first experimental violation of Bell's inequality in the spatial domain using the Einstein--Podolsky--Rosen state. Two-photon states generated via optical spontaneous parametric downconversion are shown to be entangled in the parity of their one-dimensional transverse spatial profile. Superpositions of Bell states are prepared by manipulation of the optical pump's transverse spatial parity--a classical parameter. The Bell-operator measurements are made possible by devising simple optical arrangements that perform rotations in the one-dimensional spatial-parity space of each photon of an entangled pair and projective measurements onto a basis of even--odd functions. A Bell-operator value of 2.389 +- 0.016 is recorded, a violation of the inequality by more than 24 standard deviations.

Keywords

Cite

@article{arxiv.0708.0653,
  title  = {Experimental Violation of Bell's Inequality in Spatial-Parity Space},
  author = {Timothy Yarnall and Ayman F. Abouraddy and Bahaa E. A. Saleh and Malvin C. Teich},
  journal= {arXiv preprint arXiv:0708.0653},
  year   = {2008}
}

Comments

10 pages, 3 figures, 1 Table

R2 v1 2026-06-21T09:04:55.068Z