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Explore three distinct scenarios of chaos and thermalization in quantum many-body systems when integrability is weakly broken in this conference lecture by Anatoli Polkovnikov from Boston University. Delve into the fundamental mechanisms that govern how isolated quantum systems evolve toward thermal equilibrium, examining the transition from integrable to chaotic behavior. Analyze the theoretical frameworks and mathematical approaches used to understand thermalization processes in weakly perturbed integrable systems. Investigate how different types of integrability-breaking perturbations lead to distinct pathways toward chaos and thermal behavior. Examine the role of conservation laws, energy scales, and system parameters in determining which thermalization scenario emerges. Study the implications for quantum many-body dynamics and the broader understanding of how complex quantum systems reach thermal equilibrium. This presentation is part of the Program on Quantum Many-Body Dynamics: Thermalization and its Violations, providing insights into cutting-edge research on non-equilibrium quantum physics and statistical mechanics.
