Experimental nonlocal steering of Bohmian trajectories

Abstract

Interpretations of quantum mechanics (QM), or proposals for underlying theories, that attempt to present a definite realist picture, such as Bohmian mechanics, require strong non-local effects. Naively, these effects would violate causality and contradict special relativity. However if the theory agrees with QM the violation cannot be observed directly. Here, we demonstrate experimentally such an effect: we steer the velocity and trajectory of a Bohmian particle using a remote measurement. We use a pair of photons and entangle the spatial transverse position of one with the polarization of the other. The first photon is sent to a double-slit-like apparatus, where its trajectory is measured using the technique of Weak Measurements. The other photon is projected to a linear polarization state. The choice of polarization state, and the result, steer the first photon in the most intuitive sense of the word. The effect is indeed shown to be dramatic, while being easy to visualize. We discuss its strength and what are the conditions for it to occur.

10 pages, 3 figures

References in corpus (6)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
• A wavelength-tunable fiber-coupled source of narrowband entangled photons
• Quantification of Gaussian quantum steering
• Grounding Bohmian Mechanics in Weak Values and Bayesianism
• On the Weak Measurement of Velocity in Bohmian Mechanics

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• Toward practical weak measurement wavefront sensing: spatial resolution and achromatism
• Reconstructing the multiphoton spatial wave function with coincidence wavefront sensing
• Bohmian Chaos and Entanglement in a Two-Qubit System
• Revealing the propagation dynamic of Laguerre-Gaussian beam with two Bohm-like theories
• The quantum mechanics needs the principle of wave function collapse, but this principle should not be misunderstood