Violation of Bell's Inequality in Electromechanics

Abstract

Opto- 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., 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.

5+4 pages

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• Displacemon electromechanics: how to detect quantum interference in a nanomechanical resonator
• Proposal for a Bell test in cavity optomagnonics
• Synthesizing multi-phonon quantum superposition states using flux-mediated three-body interactions with superconducting qubits
• Clauser-Horne-Shimony-Holt Bell inequality test in an optomechanical device
• Stationary quantum entanglement between a massive mechanical membrane and a low frequency LC circuit
• Einstein-Podolsky-Rosen steering and Bell nonlocality of two macroscopic mechanical oscillators in optomechanical systems
• Degeneracy-breaking and Long-lived Multimode Microwave Electromechanical Systems Enabled by Cubic Silicon-Carbide Membrane Crystals
• Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems
• Heralded entangled coherent states between spatially separated massive resonators
• Ultrawide-range photon number calibration using a hybrid system combining nano-electromechanics and superconducting circuit quantum electrodynamics
• Quantum entanglement in a four-partite hybrid system containing three macroscopic subsystems
• All non-locally Realized Continuous Variable Bipartite Gaussian States are Entangled