Bragg's reflection for walking droplets in 1D crystals

Vandewalle, Nicolas; Filoux, Boris; Hubert, Maxime

doi:10.48550/arxiv.1904.05778

Cited by 1 publication

(2 citation statements)

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“…The Bragg condition is met for certain wavelengths and incident angles, and is associated with a sharp decrease in the reflected radiation [269]. Vandewalle et al [57] considered walker motion in a circular annular channel with periodically varying bottom topography consisting of submerged walls aligned perpendicular to the channel. They demonstrated that an analog Bragg condition exists: when the spacing of the walls is λ F /2, the time-averaged droplet speed decreases sharply.…”

Section: Reflection Refraction and Optical Analogsmentioning

confidence: 99%

“…Assemblages of bouncing droplets have been shown to exhibit features characteristic of the microscopic realm, including quantized static and dynamic bound states [28,[37][38][39][40][41][42][43][44][45][46][47][48][49][50], crystal vibrations [51][52][53] and spin-spin correlations [54,55]. Hydrodynamic analogs of various optical systems have also been explored with the walkingdroplet system, including optical waveguides [56], Bragg scattering [57], optical ratcheting [58] and particle trapping with the Talbot effect [59,60]. The walking-droplet system has suggested classical reinterpretations of a number of traditionally beguiling quantum notions, including wave-particle duality, wave function collapse, superposition of states, statistical projection effects, single-particle diffraction and interference, nonlocality, uncertainty and entanglement.…”

Section: Introductionmentioning

confidence: 99%

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Hydrodynamic quantum analogs

Bush,

Oza

2020

Rep. Prog. Phys.

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The walking droplet system discovered by Yves Couder and Emmanuel Fort presents an example of a vibrating particle self-propelling through a resonant interaction with its own wave field. It provides a means of visualizing a particle as an excitation of a field, a common notion in quantum field theory. Moreover, it represents the first macroscopic realization of a form of dynamics proposed for quantum particles by Louis de Broglie in the 1920s. The fact that this hydrodynamic pilot-wave system exhibits many features typically associated with the microscopic, quantum realm raises a number of intriguing questions. At a minimum, it extends the range of classical systems to include quantum-like statistics in a number of settings. A more optimistic stance is that it suggests the manner in which quantum mechanics might be completed through a theoretical description of particle trajectories. We here review the experimental studies of the walker system, and the hierarchy of theoretical models developed to rationalize its behavior. Particular attention is given to enumerating the dynamical mechanisms responsible for the emergence of robust, structured statistical behavior. Another focus is demonstrating how the temporal nonlocality of the droplet dynamics, as results from the persistence of its pilot wave field, may give rise to behavior that appears to be spatially nonlocal. Finally, we describe recent explorations of a generalized theoretical framework that provides a mathematical bridge between the hydrodynamic pilot-wave system and various realist models of quantum dynamics.

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Section: Reflection Refraction and Optical Analogsmentioning

confidence: 99%