Pedro J. Sáenz, Applied Mathematics, UNC-Chapel Hill

A millimetric liquid droplet may walk across the surface of a vibrating fluid bath, self-propelled through a resonant interaction with its own guiding wave field. By virtue of the coupling with their wave fields, these walking droplets, or ‘walkers’, extend the range of classical mechanics to include certain features previously thought to be exclusive to the quantum realm. In this talk, we will combine experiments, simulations and theory to discuss a number of hydrodynamic quantum analogs, including orbital quantization in a rotating frame, hydrodynamic spin lattices, and the absence of diffusion over random topographies.