Proposal to demonstrate the non-locality of Bohmian mechanics with entangled photons

Abstract

Bohmian mechanics reproduces all statistical predictions of quantum mechanics, which ensures that entanglement cannot be used for superluminal signaling. However, individual Bohmian particles can experience superluminal influences. We propose to illustrate this point using a double double-slit setup with path-entangled photons. The Bohmian velocity field for one of the photons can be measured using a recently demonstrated weak-measurement technique. The found velocities strongly depend on the value of a phase shift that is applied to the other photon, potentially at spacelike separation.

6 pages, 4 figures

References in corpus (8)

• A wavelength-tunable fiber-coupled source of narrowband entangled photons
• Bell inequality violation with two remote atomic qubits
• No extension of quantum theory can have improved predictive power
• Grounding Bohmian Mechanics in Weak Values and Bayesianism
• Realization of the purely spatial Einstein-Podolsky-Rosen paradox in full-field images of spontaneous parametric down conversion
• Einstein-Podolsky-Rosen correlations from colliding Bose-Einstein condensates
• On the Weak Measurement of Velocity in Bohmian Mechanics
• Would Bohr be born if Bohm were born before Born?

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