Non-equilibrium Quantum Many-Body Dynamics: Functional Integral Approaches

TL;DR

This paper reviews functional-integral methods for analyzing far-from-equilibrium quantum many-body systems, focusing on techniques like the two-particle-irreducible effective action and flow equations, with applications to equilibration and critical phenomena.

Contribution

It introduces and compares advanced functional-integral approaches for studying non-equilibrium quantum dynamics, highlighting their versatility and application scope.

Findings

Effective techniques for non-equilibrium dynamics analyzed

Applications include equilibration after parameter quenches

Insights into non-equilibrium critical phenomena

Abstract

We discuss functional-integral approaches to far-from-equilibrium quantum many-body dynamics. Specific techniques considered include the two-particle-irreducible effective action and the real-time flow-equation approach. Different applications, including equilibration after a sudden parameter change and non-equilibrium critical phenomena, illustrate the potential of these methods.