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Dynamics, locality and weak measurements: trajectories and which-way information in the case of a simplified double-slit setup

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Abstract

Understanding how the interference pattern produced by a quantum particle in Young’s double-slit setup builds up—the “only mystery” of quantum mechanics according to Feynman—is still a matter of discussion and speculation. Recent works have revisited the possibility of acquiring which-way information based on weak measurements. Weak measurements preserve the interference pattern due to their minimally perturbing character while still leading to a final position detection. Here, we investigate a simplified double-slit setup by including weakly coupled pointers. We examine how the information provided by the weak pointers can be interpreted to infer the dynamics within a local picture through “weak trajectories”. We contrast our approach with non-local dynamical accounts, such as the modular momentum approach to weak values and the trajectories defined by the de Broglie–Bohm picture.

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Daem, F., Matzkin, A. Dynamics, locality and weak measurements: trajectories and which-way information in the case of a simplified double-slit setup. Quantum Stud.: Math. Found. (2024). https://doi.org/10.1007/s40509-024-00337-4

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