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Explore quantum many-body theories and their application to realistic material simulations in this theoretical physics colloquium lecture. Learn how diagrammatic perturbation theory and non-perturbative embedding theories, traditionally used for lattice model systems, are being adapted for ab-initio simulations without adjustable parameters or effective low-energy models. Discover recent algorithmic and computational advances that have enabled the transition from lattice models to real-materials simulations, eliminating several common uncontrolled approximations. Examine the rigorous mathematical frameworks used to describe interacting particles in solids and understand how these tools capture essential degrees of freedom in complex materials. Gain insights into the development of controlled and adaptive many-body simulation methods that promise to revolutionize materials science research by providing parameter-free predictions of material properties.
