Coursera Spring Sale
40% Off Coursera Plus Annual!
Grab it
Explore generalized symmetries in quantum many-body systems through the lens of tensor networks in this comprehensive lecture by Frank Verstraete. Delve into the profound transformation occurring in the study of quantum symmetries, moving beyond traditional notions to encompass higher-form, non-invertible, and subsystem symmetries that provide powerful new frameworks for understanding and classifying quantum phases of matter. Learn how tensor network methods offer unique insights into these generalized symmetries when implemented on lattice systems, providing both computational tools and conceptual understanding. Discover the connections between these advanced symmetry concepts and quantum entanglement, conservation laws, and hydrodynamics in interacting systems. Examine how anomalies, traditionally associated with high-energy physics, now play crucial roles in condensed matter settings, particularly in protecting exotic quantum phases such as symmetry-protected topological states. Gain insights into how these developments are reshaping our understanding of mixed states and open quantum systems, while exploring the practical applications of tensor network approaches to studying these phenomena on discrete lattice structures.
