# Stochastic quantum hydrodynamics: a new theoretical approach to nonequilibrium dynamics of quantum many-body systems

**Project level:** PhD, Masters, Honours, Summer

The project aims to develop a new theoretical approach - stochastic quantum hydrodynamics - to understand one of the grand challenges of physics: how do complex, many-particle systems evolve in the quantum realm when driven far from equilibrium? Understanding the out-of-equilibrium of such systems will help to shape a new cornerstone of physics, non-equilibrium statistical mechanics, which - unlike its equilibrium counterpart - is a work in progress in modern science. We will uncover the intriguing dynamical properties of superfluid (frictionless) states of quantum matter formed by ultracold atomic gases, which will help to understand how these properties can be used to control quantum matter and develop new quantum technologies.