An Affordable Pedagogical Setup for Wave-particule Duality and Applications to Chaotic Stadium Cavity
Olivier Leblanc, Loïc Tadrist, Nicolas Moreau +3 more
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.
International Conference on Advanced Technologies, Systems and Services in Telecommunications (TELSIKS)•Oct 20, 2021•1 citation