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Lun. 17/09/2018 10:30 Salle RdC, Bâtiment 11, RdC Séminaire
TADRIST Loïc (Microfluidics lab, University of Liège.)
CNRS candidate
Macroscopic wave-particle duality: Why tunnelling should be unpredictable? (Matière Molle & Verres)
Sommaire:
Tunnelling is almost as old as quantum mechanics. Eddi et al. [2] reported unpredictable tunnelling when a walking droplet encounters a submerged wall corresponding to an energy barrier. These experimental results have then been confirmed by the numerical simulations of Nachbin et al. [3], proving that tunnelling is a shared trait between quantum particles and walking droplets. The walking droplets are a macroscopic system with deterministic, sometimes chaotic, behaviour. Here we address the seemingly simple question: What are the origins of the unpredictability in walker tunnelling?
We here focus on the fast dynamics of the bouncing droplet, the resolution of which should allow us to recover deterministic behaviour. The apparent stochastic tunnelling is thus directly linked to the time resolution of the fast dynamics of the droplets as was also shown to be of primary importance in the stochastic interaction of two walkers [4]. These studies raise the following: could the zitterbewegung frequency suggested by de Broglie set the fast time scale of a quantum particle account for the stochasticity of quantum mechanics?
Keywords: bouncing droplets, quantum analog, fluid mechanics, tunnelling
References:
[1] Couder, Y., Protiere, S., Fort, E., & Boudaoud, A. (2005). Dynamical phenomena: Walking and orbiting droplets. Nature, 437(7056), 208.
[2] Eddi, A., Fort, E., Moisy, F., & Couder, Y. (2009). Unpredictable tun- neling of a classical wave-particle association. Physical review letters, 102(24), 240401.
[3] Nachbin, A., Milewski, P. A., & Bush, J. W. (2017). Tunneling with a hydrodynamic pilot-wave model. Physical Review Fluids, 2(3), 034801.
[4] Tadrist, L., Sampara N., Schlagheck, P. & Gilet, T. Interaction of two walkers: perturbed vertical dynamics as a source of chaos. 2018, in press in Chaos . Pour plus d'informations, merci de contacter Truzzolillo D.
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