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Explore fundamental concepts of quantum thermalization and its breakdown in a 40-minute physics lecture focusing on many-body localization (MBL) and eigenstate thermalization hypothesis (ETH). Delve into the thermalization processes of isolated interacting systems, examining ergodicity in quantum systems and the conditions for its breakdown. Learn about the phenomenological aspects of MBL, including emergent integrability in real space and the disruption of equipartition across Hilbert space degrees of freedom. Progress through topics ranging from classical system thermalization to quantum systems, understanding how ergodicity can be broken in quantum contexts. Delivered at the MIPT Winter PhysTech School in Armenia, this advanced physics lecture provides a comprehensive foundation in quantum thermalization theory and its practical implications.
