Single-particle diffraction with a hydrodynamic pilot-wave model
Fluid Dynamics
2024-10-31 v2
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.
Cite
@article{arxiv.2407.16001,
title = {Single-particle diffraction with a hydrodynamic pilot-wave model},
author = {Giuseppe Pucci and Antoine Bellaigue and Alessia Cirimele and Giuseppe Ali and Anand U. Oza},
journal= {arXiv preprint arXiv:2407.16001},
year = {2024}
}