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Hydrodynamic quantum analogs.

John W M Bush1, Anand U Oza2

  • 1Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, United States of America.

Reports on Progress in Physics. Physical Society (Great Britain)
|October 16, 2020
PubMed
Summary
This summary is machine-generated.

Walking droplets demonstrate quantum-like behaviors at a macroscopic scale. This hydrodynamic pilot-wave system offers insights into quantum mechanics and particle-wave duality, bridging classical and quantum physics.

Keywords:
pilot-wave dynamicsquantum analogswalking droplets

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Area of Science:

  • Fluid Dynamics
  • Quantum Mechanics
  • Wave Phenomena

Background:

  • The walking droplet system, a macroscopic analog of quantum mechanics, involves self-propelling droplets interacting with their own wave fields.
  • This system provides a visualizable model for quantum field theory concepts and Louis de Broglie's pilot-wave theory.

Purpose of the Study:

  • To review experimental studies and theoretical models of the walking droplet system.
  • To elucidate the dynamical mechanisms behind emergent statistical behaviors and nonlocality.
  • To explore a generalized theoretical framework connecting hydrodynamic and quantum dynamics.

Main Methods:

  • Experimental observation of vibrating droplet dynamics.
  • Development and analysis of theoretical models for droplet-wave interactions.
  • Investigation of statistical behaviors and nonlocality in droplet systems.

Main Results:

  • The walking droplet system exhibits quantum-like statistics and behaviors, such as wave-particle duality.
  • Dynamical mechanisms responsible for structured statistical behavior have been identified.
  • Temporal nonlocality in droplet dynamics can lead to apparent spatial nonlocality.

Conclusions:

  • The hydrodynamic pilot-wave system serves as a valuable macroscopic model for quantum phenomena.
  • It offers potential avenues for completing quantum mechanics through pilot-wave theory.
  • A generalized framework bridges this classical system with realist quantum models.