Emergent hydrodynamics in non-equilibrium quantum systems

Understand

A tremendous amount of recent attention has focused on characterizing the dynamical properties of periodically driven many-body systems.

• Here, we use a novel numerical tool termed `density matrix truncation' (DMT) to investigate the late-time dynamics of large-scale Floquet systems.
• We find that DMT accurately captures two essential pieces of Floquet physics, namely, prethermalization and late-time heating to infinite temperature.
• Moreover, by implementing a spatially inhomogeneous drive, we demonstrate that an interplay between Floquet heating and diffusive transport is crucial to understanding the system's dynamics.