Single-particle diffraction with a hydrodynamic pilot-wave model

2024/07/22 by Pucci, Giuseppe, Bellaigue, Antoine, Cirimele, Alessia +2 · 2 citations
#FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn)

paper · doi:10.48550/arxiv.2407.16001

Abstract

A macroscopic hydrodynamic system that couples a particle and a wave has recently renewed interest in the question as to what extent a classical system may reproduce quantum phenomena. Here we investigate single-particle diffraction with a pilot-wave model originally developed to describe the hydrodynamic system. We study single-particle interactions with a barrier and slits of increasing width by focusing on the near field. We find single-particle diffraction arising as wavelike patterns in the particles' position statistics, which we compare to the predictions of quantum mechanics. We provide a mechanism that rationalizes the diffractive behavior in our system.

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• Single-particle Fraunhofer diffraction in a classical pilot-wave model
• Extending the Droplet-Wave Statistical Correspondence in Walking Droplet Dynamics

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