Hydrodynamic quantum analogs

One of the beauties of fluid mechanics is that it provides a framework for describing a broader class of nonfluidic systems that are comparable to it in significant respects owing to similarities in their essential physics and underlying mathematical structure. In 2006, Yves Couder and coworkers discovered that droplets walking on a vibrating fluid surface exhibit many features previously thought to be limited to the microscopic quantum realm. These include, but are not limited to, single-particle interference, tunneling across potential barriers, spin lattices, Friedel oscillations, the quantum corral and statistical projection effects. I will present some of my contributions to this new and exciting field, and will discuss how the hydrodynamic pilot-wave system may potentially be used as a for quantum simulations and quantum-inspired computing.