Out-of-equilibrium many-body dynamics in Atomic, Molecular and Optical systems

Abstract

Recent advancements in atomic, molecular, and optical platforms have propelled the study of many-body physics into a new era. The ability to construct large ensembles of precisely manipulated elementary components is revolutionizing both the toolbox and the mindset for exploring the intricate relationship between microscopic details and macroscopic phenomena. This exploration lies at the heart of many-body physics, particularly in the context of out-of-equilibrium many-body dynamics. Indeed, the past decades have witnessed a resurgence of classic topics alongside the emergence of new inquiries in the field of many-body dynamics, covering a spectrum from fundamental dynamical properties to their practical applications in quantum technology. This thesis contributes to such a vibrant field by employing a combination of analytical and numerical methodologies to investigate various aspects of out-of-equilibrium dynamics, such as thermalization, hydrodynamics, and responses to drives. Furthermore, this study is intimately intertwined with experimental investigation, where empirical observations enrich theoretical frameworks, and theoretical predictions guide experimental pursuits and practical applications.