Description
Understanding the dynamics of systems far from equilibrium is one of the central challenges of modern theoretical physics. Questions of thermalization, transport, information spreading, and entanglement growth are notoriously difficult to address analytically, making exactly solvable time-dependent models particularly valuable.
In this talk, I will present a framework for extending integrability beyond the traditional setting of time-independent field theories to include (space)time-dependent models. I will show that broad classes of such theories can be generated systematically from a higher-dimensional gauge theory, yielding integrable deformations of many familiar solvable models, which have important connections to theories of gravity and string theory. I will also discuss how these ideas can be extended to the quantum regime, providing a novel avenue for non-equilibrium quantum mechanics.