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Introduction to focus issue on hydrodynamic quantum analogs.

Chaos (Woodbury, N.Y.)·2018
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Walking droplets correlated at a distance.

André Nachbin1

  • 1National Institute for Pure and Applied Mathematics (IMPA), Est. D. Castorina 110, Rio de Janeiro, RJ 22460-320, Brazil.

Chaos (Woodbury, N.Y.)
|October 4, 2018
PubMed
Summary

Two bouncing fluid droplets in separate wells show correlated dynamics, mimicking quantum entanglement through wave-mediated interactions. Their collective behavior highlights a novel form of dynamic oscillator coupling.

Area of Science:

  • Fluid Dynamics
  • Wave-Particle Dynamics
  • Quantum Analogues

Background:

  • Bouncing fluid droplets on vibrating surfaces exhibit quantum-like wave-particle duality.
  • Existing research explores quantum analogues and their limitations in macroscopic systems.
  • Understanding coupled oscillator dynamics is crucial for various physical phenomena.

Purpose of the Study:

  • To investigate correlated dynamics between two oscillating fluid droplets in separate potential wells.
  • To explore the role of underlying wave-mediated dynamics in particle interactions.
  • To compare this dynamic coupling to predefined coupling models like the Kuramoto model.

Main Methods:

  • Experimental setup with millimetric droplets confined to separate potential wells on a vibrating bath.

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  • Observation and analysis of droplet trajectories and phase space dynamics.
  • Numerical simulations to generate phase space histograms and assess statistical coherence.

    • Main Results:

    • Two separated droplets exhibit correlated dynamical features, indicating a system-wide phase space.
    • Phase space histograms show statistical indistinguishability between particles, suggesting entanglement-like behavior.
    • Removing one droplet drastically alters the phase space, confirming their interconnectedness.

    Conclusions:

    • Wave-mediated dynamics create a strong, non-independent coupling between oscillating droplets.
    • The system demonstrates a novel form of dynamic oscillator coupling, distinct from static models.
    • The observed phenomena offer insights into nonlinear coupled oscillators and spontaneous synchronization.