Eur. Phys. J. D 53, 383-392 (2009)
https://doi.org/10.1140/epjd/e2009-00134-5

Molecular orientation entanglement and temporal Bell-type inequalities

Laboratoire de Photophysique Moléculaire du CNRS, Univ. Paris-Sud 11, Bâtiment 210, 91405 Orsay Cedex, France

Corresponding author: ^a perola.milman@gmail.com

Received: 28 December 2008
Revised: 23 March 2009
Published online: 1 May 2009

Abstract

We make a detailed study of Bell-type inequalities based on correlations between measurements of continuous observables performed on trapped molecular systems. We show that, in general, when an observable has a continuous spectrum which is bounded, one is able to construct non-locality tests sharing common properties with those for two-level systems. The specific observable studied here is molecular spatial orientation, and it can be experimentally measured for single molecules, as required in our protocol. We also provide some useful general properties of the derived inequalities and study their robustness to noise. Finally, we detail possible experimental scenarios and analyse the role played by different experimental parameters.