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Explore recent mathematical proofs demonstrating complete Bose-Einstein condensation with optimal error bounds for approximate ground states and their time-evolution in the Gross-Pitaevskii limit through this 37-minute conference lecture. Delve into cutting-edge research on quantum many-body systems as the speaker reviews collaborative work with leading researchers including A. Adhikari, M. Brooks, C. Caraci, J. Oldenburg, B. Schlein and W. Kroschinsky. Gain insights into the mathematical physics perspective on Bose-Einstein condensation, focusing on the rigorous analysis of error bounds and the behavior of quantum systems in specific limiting regimes. Learn about the latest developments in understanding the transition from microscopic quantum mechanics to macroscopic phenomena in condensed matter physics, presented as part of a specialized workshop on quantum many-body systems at the Erwin Schrödinger International Institute for Mathematics and Physics.
