A Rigorous Framework for Embedding Realistic Interacting Quantum Systems

Explore a rigorous framework for embedding realistic interacting quantum systems in this 51-minute lecture presented by George Booth from King's College London at IPAM's Multiscale Approaches in Quantum Mechanics Workshop. Delve into a recent reformulation of quantum embedding that addresses the challenge of coupling a fragment of a system with long-range interactions into its environment. Examine the conceptual and practical limitations of current quantum embedding approaches for interacting systems, and discover a new methodology that offers systematic improvability and internal validity checks. Gain insights into the relationship between this approach and existing methodologies, including embedding fragments into both mean-field and interacting environments. Learn about a novel technique to fold interactions with the infinite environment into a finite-size quantum problem, providing a more efficient and practical solution for treating long-range interactions in quantum systems.