Experimental setup; Hydrodynamic quantum analogs; Low-cost; Sta-dium; Walking droplet; Chaotics; Control and measurement; Hydrodynamic quantum analog; Low-costs; Macroscopic scale; Quantum analog; Wave-particle duality; Information Systems and Management; Computer Networks and Communications; Hardware and Architecture; Safety, Risk, Reliability and Quality; Instrumentation
Abstract :
[en] 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.
L. Tadrist (FNRS Grant No. CHAR. RECH.-1.B423.18 (Tadrist L.)), N. Moreau (FRIA fellowship), B. Barrière (research assistant) and B. Hackens (research associate) acknowledge financial support from F.R.S.-FNRS.
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