title: Proposal to Test Bell's Inequality in Electromechanics.
abstract: Optomechanical and electromechanical systems offer an effective platform to test quantum theory and its predictions at macroscopic scales. To date, all experiments presuppose the validity of quantum mechanics, but could in principle be described by a hypothetical local statistical theory. Here we suggest a Bell test using the electromechanical Einstein-Podolski-Rosen entangled state recently generated by Palomaki et al., Science 342, 710 (2013), which would rule out any local and realistic explanation of the measured data without assuming the validity of quantum mechanics at macroscopic scales. It additionally provides a device-independent way to verify electromechanical entanglement. The parameter regime required for our scheme has been demonstrated or is within reach of current experiments.
authors.affiliation: Vienna Center for Quantum Science and Technology (VCQ), Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria.|Institute for Theoretical Physics, Institute for Gravitational Physics (Albert Einstein Institute), Leibniz University Hannover, Callinstraße 38, 30167 Hannover, Germany.
authors.forename: Sebastian G
authors.initials: SG
authors.lastname: Hofer
authors.affiliation: JILA, National Institute of Standards and Technology and the University of Colorado, Boulder, Colorado 80309, USA.|Department of Physics, University of Colorado, Boulder, Colorado 80309, USA.
authors.forename: Konrad W
authors.initials: KW
authors.lastname: Lehnert
authors.affiliation: Institute for Theoretical Physics, Institute for Gravitational Physics (Albert Einstein Institute), Leibniz University Hannover, Callinstraße 38, 30167 Hannover, Germany.
authors.forename: Klemens
authors.initials: K
authors.lastname: Hammerer