title: Proposal for an Optomechanical Bell Test.
abstract: Photons of a laser beam driving the upper motional sideband of an optomechanical cavity can decay into photon-phonon pairs by means of an optomechanical parametric process. The phononic state can subsequently be mapped to a photonic state by exciting the lower sideband, hence creating photon-photon pairs out of an optomechanical system. Here we show that these pairs can violate a Bell inequality when they are measured with photon counting techniques preceded by small displacement operations in phase space. The consequence of such a violation as well as the experimental requirements are intensively discussed.
authors.affiliation: Group of Applied Physics, University of Geneva, CH-1211 Geneva 4, Switzerland.
authors.forename: V Caprara
authors.initials: VC
authors.lastname: Vivoli
authors.affiliation: Group of Applied Physics, University of Geneva, CH-1211 Geneva 4, Switzerland.
authors.forename: T
authors.initials: T
authors.lastname: Barnea
authors.affiliation: Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland.
authors.forename: C
authors.initials: C
authors.lastname: Galland
authors.affiliation: Department of Physics, University of Basel, CH-4056 Basel, Switzerland.
authors.forename: N
authors.initials: N
authors.lastname: Sangouard