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Title:
Hydrodynamics, ergodicity, entanglement and localization in interacting lattice models and field theories: an overview of past decade in quantum many-body dynamics
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Abstract:
The second half of the 20th century witnessed steady progress in quantum statistical mechanics and field theory, both solving longstanding puzzles but also offering novel perspectives on natural phenomena, e.g. the notion of universality and emergence. Dynamical properties of interacting particles and fields by contrast have not benefitted from development of similarly powerful tools and insights. In part stimulated by advent of highly controlled many-body systems (cold atoms, q-bits) the foundational, purely dynamical, aspects of quantum statistical physics began to receive significant theoretical attention only recently. Over the past decade or so there has been a rapid germination of several new subfields loosely connected by a reduced emphasis on conventional groundstate and quasi-particle dominated regimes of matter, and the central role played by entanglement. These subfields, often paralleled both in condensed matter and high energy theory, include reformulations of quantum ergodicity using Eigenstate Thermalization Hypothesis and quantum many-body chaos measures, quasi-ergodicity of integrable models, quantum hydrodynamics of strongly correlated electron fluids, complete breakdown of ergodicity by many-body localized systems, phases and phase transitions in driven many-body systems. This talk will attempt to give a birds-eye view of some of these developments and attempt a preview of the activities to come in the coming semester at SCGP.
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