John Bush, MIT

Title:
Hydrodynamic quantum analogs

Abstract:

In 2005, it was discovered that droplets walking on a vibrating fluid bath exhibit several features previously thought to be exclusive 
to the microscopic, quantum realm. These walking droplets propel themselves by virtue of a resonant interaction with their own wave 
field, and so represent the first macroscopic realization of a pilot-wave system of the form proposed for microscopic quantum dynamics 
by Louis de Broglie in the 1920s. New experimental and theoretical results allow us to rationalize the emergence of quantum-like 
behavior in this hydrodynamic pilot-wave system in a number of settings, and explore its potential and limitations as a quantum analog.
Particular attention is given to elucidating how the system’s temporal non locality or `memory' may give rise to effects akin to quantum 
nonlocality. Fledgling attempts to develop a hydrodynamic quantum field theory, a completion of de Broglie’s theoretical program 
informed by the walking droplet system, are discussed.