Hydrodynamic quantum analogs

In 2005, Yves Couder and Emmanuel Fort discovered that droplets may self-propel along the surface of  a vibrating liquid bath. Subsequently, numerous studies have shown that these walking droplets exhibit  features previously thought to be exclusive to the microscopic, quantum realm. The walking-droplet system represents a macroscopic realization of wave-particle duality, and of a pilot-wave dynamics of the  form proposed for microscopic quantum particles by Louis de Broglie in the 1920s. Experimental  and theoretical results allow us to explore its potential and limitations as a quantum analog, and so  explore the boundary between classical and quantum. Theoretical descriptions of the hydrodynamic  system allow us to distinguish it from existing quantum pilot-wave theories, and explore a broader class of classical pilot-wave systems. Particular attention is given to illustrating how the non-Markovian droplet dynamics may give rise to features that are taken as evidence of nonlocality in quantum systems.