activity
20162026
most citedPilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits

49 citations · 70 across the 9 of their papers we have counts for

collaborators

9 papers

nlin.CD2026

Synchronization induces Bell violations in a model of walking droplets

Álvaro G. López, Rahil N. Valani, Yuanmei Li +1

We consider a reduced Lorenz-like model that describes two walking droplets interacting through their mutual wave field, and investigate the emergence of strong bipartite correlati…

math-ph2026

Engineering classical waves with quantized energy spectra in periodic media

Arnaud Lazarus, Georgi Gary Rozenman, John W. M. Bush

Field quantization is a central feature of modern physics, that underpins the concept of photons and forms the foundation of quantum electrodynamics as well as much of solid-state…

quant-ph2025

Single-particle Fraunhofer diffraction in a classical pilot-wave model

David Darrow, John W. M. Bush

Walking oil droplets offer a qualitative, classical analog of single-particle diffraction. Making this analog quantitative has proven challenging, leading recent authors to conject…

physics.flu-dyn2025★ 1 cited

Capillary currents and viscous droplet spreading

David Darrow, Lucas Warwaruk, John W. M. Bush

We present the results of a combined experimental and theoretical study of the spreading of viscous droplets over rigid substrates. First, we experimentally investigate the wetting…

physics.flu-dyn2024

Diffraction of walking drops by a standing Faraday wave

Bauyrzhan K. Primkulov, Davis J. Evans, Valeri Frumkin +2

The Kapitza-Dirac effect is the diffraction of quantum particles by a standing wave of light. We here report an analogous phenomenon in pilot-wave hydrodynamics, wherein droplets w…

physics.flu-dyn2024★ 9 cited

Non-resonant effects in pilot-wave hydrodynamics

Bauyrzhan K. Primkulov, Davis J. Evans, Joel B. Been +1

Pilot-wave hydrodynamics concerns the dynamics of 'walkers,' droplets walking on a vibrating bath, and has provided the basis for the burgeoning field of hydrodynamic quantum analo…

physics.flu-dyn2024

Potential Flows with Electromagnetically-Induced Circulation in a Hele-Shaw Cell

Kyle I. McKee, John W. M. Bush

In Hele-Shaw cells, pressure-driven viscous fluid motion between two closely-spaced plates gives rise to a two-dimensional potential flow with zero circulation. Here, we show how t…

quant-ph2024★ 11 cited

Revisiting de Broglie's Double-Solution Pilot-Wave Theory with a Lorentz-Covariant Lagrangian Framework

David Darrow, John W. M. Bush

The relation between de Broglie's double-solution approach to quantum dynamics and the hydrodynamic pilot-wave system has motivated a number of recent revisitations and extensions…

physics.flu-dyn2016★ 49 cited

Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits

Matthieu Labousse, Anand U. Oza, Stéhane Perrard +1

We present the results of a theoretical investigation of the dynamics of a droplet walking on a vibrating fluid bath under the influence of a harmonic potential. The walking drople…