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  • Letter

Single-particle diffraction with a hydrodynamic pilot-wave model

Giuseppe Pucci1,2,3,*, Antoine Bellaigue2, Alessia Cirimele4, Giuseppe Alì4, and Anand U. Oza5,†

  • *Contact author: giuseppe.pucci@cnr.it
  • †Contact author: oza@njit.edu

Phys. Rev. E 111, L033101 – Published 7 March, 2025

DOI: https://doi.org/10.1103/PhysRevE.111.L033101

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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