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We explore the hydrodynamic analogues of quantum wave-particle duality in the context of a bouncing droplet system which we model in such a way as to promote comparisons to the de Broglie-Bohm interpretation of quantum mechanics. Through…

In 2005, Couder, Protiere, Fort and Badouad showed that oil droplets bouncing on a vibrating tray of oil can display nonlocal interactions reminiscent of the particle-wave associations in quantum mechanics; in particular they can move,…

Quantum Physics · Physics 2014-01-20 Robert Brady , Ross Anderson

Recently, the properties of bouncing oil droplets, also known as "walkers", have attracted much attention because they are thought to offer a gateway to a better understanding of quantum behaviour. They constitute indeed a macroscopic…

Quantum Physics · Physics 2018-11-14 Mohamed Hatifi , Ralph Willox , Samuel Colin , Thomas Durt

Bouncing oil droplets have been shown to follow de Broglie-Bohm like trajectories and at the same time they exhibit attractive and repulsive pseudo-gravitation. We propose a model aimed at rendering account of these phenomenological…

Quantum Physics · Physics 2016-05-25 Thomas Durt

We study the phenomenon of the "walking droplet", by means of numerical fluid dynamics simulations using the Smoothed Particle Hydrodynamics numerical method. This phenomenon occurs when a millimetric drop is released on the surface of an…

Fluid Dynamics · Physics 2017-08-17 Diego Molteni , Enrico Vitanza , Onofrio Rosario Battaglia

Recent experiments have shown that certain fluid-mechanical systems, namely oil droplets bouncing on oil films, can mimic a wide range of quantum phenomena, including double-slit interference, quantization of angular momentum and Zeeman…

Quantum Physics · Physics 2016-01-27 Louis Vervoort

Droplets bouncing on a vibrated liquid bath open ways to methods of manipulating droplets, creating double emulsion and performing pilot wave model experiments. In this work, we focus on the role of the droplet deformations in the vertical…

Fluid Dynamics · Physics 2015-06-12 Denis Terwagne , François Ludewig , Nicolas Vandewalle , Stéphane Dorbolo

Can a classical system as walking oil droplets on a vibrating surface simulate the single and double slit Quantum Mechanics experiment? A systematic investigation reveals that the answer is no, but that the classical system exhibits rich…

Fluid Dynamics · Physics 2020-09-02 Clive Ellegaard , Mogens T. Levinsen

It is known from quantum mechanics that particles are associated with wave functions, and that the probability of observing a particle at some future location is proportional to the squared modulus of the amplitude of its wave function.…

History and Philosophy of Physics · Physics 2022-10-11 Stuart Heinrich

Elements of a "deeper level" explanation of the deBroglie-Bohm (dBB) version of quantum mechanics are presented. Our explanation is based on an analogy of quantum wave-particle duality with bouncing droplets in an oscillating medium, the…

Quantum Physics · Physics 2015-04-20 Gerhard Groessing , Siegfried Fussy , Johannes Mesa Pascasio , Herbert Schwabl

In recent years, Couder and collaborators have initiated a series of studies on walking droplets. Experimentally, they found that at frequencies and amplitudes close to the onset of Faraday waves, droplets on the surface of silicone oil can…

Chaotic Dynamics · Physics 2024-09-19 Chuan-Yu Hung , Ting-Heng Hsieh , Tzay-Ming Hong

In a paper from 2006, Couder and Fort [1] describe a version of the famous double slit experiment performed with drops bouncing on a vibrated fluid surface, where interference in the particle statistics is found even though it is possible…

In an analogue quantum simulation, an experimentally accessible quantum system is controlled and measured precisely in order to learn about the properties of another quantum system. As such, analogue quantum simulation is a novel tool of…

Quantum Physics · Physics 2023-03-03 Dominik Hangleiter , Jacques Carolan , Karim P. Y. Thébault

We consider the dynamics of a droplet on a vibrating fluid bath. This hydrodynamic quantum analog system is shown to elicit the canonical behavior of damped-driven systems, including a period doubling route to chaos. By approximating the…

Dynamical Systems · Mathematics 2022-11-10 Aminur Rahman , J. Nathan Kutz

The de Broglie - Bohm "pilot-wave" theory replaces the paradoxical wave-particle duality of ordinary quantum theory with a more mundane and literal kind of duality: each individual photon or electron comprises a quantum wave (evolving in…

Quantum Physics · Physics 2015-06-11 Travis Norsen

A research program within the scope of theories on "Emergent Quantum Mechanics" is presented, which has gained some momentum in recent years. Via the modeling of a quantum system as a non-equilibrium steady-state maintained by a permanent…

Quantum Physics · Physics 2015-01-14 Gerhard Groessing

Damped-driven systems are ubiquitous in science, however the damping and driving mechanisms are often quite convoluted. This manuscript presents an experimental and theoretical investigation of a fluidic droplet on a vertically vibrating…

Fluid Dynamics · Physics 2023-09-12 Aminur Rahman

Bohmian mechanics supplements the quantum wavefunction with deterministic particle trajectories, offering an alternate, dynamical language for quantum theory. However, the Bohmian particle does not affect its guiding wave, so the wave field…

Quantum Physics · Physics 2024-08-13 David Darrow

A quantum unitary evolution alternated with measurements is simulated by a bubble filled with fictitious particles called amplitude quanta that move chaotically and can be transformed by the simple rules that look like chemical reactions. A…

Quantum Physics · Physics 2016-09-08 Yuri Ozhigov

Droplet formation in a system of two or more immiscible fluids is a celebrated topic of research in the fluid mechanics community. In this work, we propose an innovative phenomenon where oil when injected drop-wise into a pool of water…

Fluid Dynamics · Physics 2013-11-26 Saurabh Nath , Anish Mukherjee , Souvick Chatterjee
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