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Explore emergent phenomena in strongly correlated quantum systems through this 47-minute lecture delivered as part of the II School on Emergent Phenomena in Non-Equilibrium Quantum Many-Body Systems. Learn from Thereza Paiva of UFRJ, Brazil, as she delves into the complex behaviors that arise when quantum particles interact strongly with each other, leading to collective phenomena that cannot be understood from individual particle properties alone. Discover how strong correlations between particles give rise to unexpected phases of matter, novel electronic properties, and exotic quantum states. Examine theoretical frameworks and computational approaches used to study these systems, including methods for analyzing phase transitions, quantum criticality, and the emergence of collective excitations. Gain insights into current research directions in condensed matter physics, including applications to high-temperature superconductors, quantum magnets, and other materials where electron-electron interactions play a dominant role. This lecture forms part of a comprehensive educational program organized by ICTP-SAIFR, designed to provide advanced training in non-equilibrium quantum many-body physics and its emerging applications in modern condensed matter research.
