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Explore the fundamental concepts of hydrodynamization and local prethermalization in quantum many-body systems through this comprehensive lecture delivered at ICTP-SAIFR's Program on Quantum Many-Body Dynamics. Delve into the intricate processes that govern how quantum systems evolve toward thermal equilibrium, examining the intermediate stages where local thermalization occurs before global equilibrium is achieved. Learn about the theoretical frameworks and experimental observations that illuminate these phenomena, including the role of conservation laws, integrability breaking, and the emergence of hydrodynamic behavior in isolated quantum systems. Discover how local prethermalization manifests in various physical contexts and understand its implications for quantum thermodynamics and statistical mechanics. Gain insights into cutting-edge research methodologies used to study these complex dynamical processes and their relevance to understanding thermalization violations in quantum many-body systems.
