Scaling approach to quantum non-equilibrium dynamics of many-body systems

Understand

Understanding non-equilibrium quantum dynamics of many-body systems is one of the most challenging problems in modern theoretical physics.

• While numerous approximate and exact solutions exist for systems in equilibrium, examples of non-equilibrium dynamics of many-body systems, which allow reliable theoretical analysis, are few and far between.
• In this paper we discuss a broad class of time-dependent interacting systems subject to external linear and parabolic potentials, for which the many-body Schr\"{o}dinger equation can be solved using a scaling transformation.
• We demonstrate that scaling solutions exist for both local and nonlocal interactions and derive appropriate self-consistency equations.