Nonequilibrium many-body quantum dynamics: from full random matrices to real systems

Understand

We present an overview of our studies on the nonequilibrium dynamics of quantum systems that have many interacting particles.

• Our emphasis is on systems that show strong level repulsion, referred to as chaotic systems.
• We discuss how full random matrices can guide and support our studies of realistic systems.
• We show that features of the dynamics can be anticipated from a detailed analysis of the spectrum and the structure of the initial state projected onto the energy eigenbasis.