An Affordable Pedagogical Setup for Wave-particule Duality and Applications to Chaotic Stadium Cavity

Leblanc, Olivier;Tadrist, Loic;Moreau, Nicolas;Brun-Barrière, Boris;Hackens, Benoît;et.al.
(2021) 2021 15th International Conference on Advanced Technologies, Systems and Services in Telecommunications (TELSIKS) — Location: Nis, Serbia (20.October.2021)

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An_Affordable_Pedagogical_Setup_for_Wave-particule_Duality_and_Applications_to_Chaotic_Stadium_Cavity.pdf
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Authors
  • Leblanc, OlivierUCLouvain
    Author
  • Tadrist, LoicMicrofluidics Lab, Department of Mechanical and Aerospace Engineering, University of Liege, Allée de la découverte 9, 4000 Liège, Belgium.
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  • Moreau, NicolasUCLouvain
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  • Brun-Barrière, BorisUCLouvain
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  • Hackens, BenoîtUCLouvain
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Abstract
Walking droplets represent an ideal playground to explore wave-particle duality at the macroscopic scale. The proper control and measurement of such system requires several experimental tools that are not often easily affordable at undergraduate level. This paper proposes a complete low-cost and open-source experimental setup for walking droplets with a performance characterization. The setup is tested by examining the behaviour of droplets in the stadium billiard, a two-dimensional concave cavity that yields chaotic trajectories. Drastic differences between classical and quantum particles behaviour were observed in such geometry. In particular, the long-term evolution of walking droplets in a stadium billiard presents clear scarring patterns, informing on the existence of preferred "probable positions" within the billiard.
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Leblanc, O., Tadrist, L., Moreau, N., Brun-Barrière, B., Gilet, T., & Hackens, B. (2021). An Affordable Pedagogical Setup for Wave-particule Duality and Applications to Chaotic Stadium Cavity. Telsiks 2021, 21(21), 398. https://doi.org/10.1109/telsiks52058.2021.9606385 (Original work published 2021)