Introduction to Superselection Sector Theory - Classification of Phases and Long-Range Entanglement
Harvard CMSA via YouTube
Overview
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Explore the mathematical foundations of quantum phase classification and long-range entanglement through superselection sector theory in this workshop lecture from Harvard CMSA. Delve into the theoretical framework that connects quantum field theory with topological phases using advanced mathematical tools from homotopy theory and operator algebras. Learn how superselection sectors provide a rigorous approach to understanding different quantum phases of matter and their entanglement properties. Examine the classification schemes that emerge from this mathematical perspective and discover how long-range entanglement manifests in various quantum systems. Gain insights into the intersection of mathematical physics, quantum information theory, and condensed matter physics as you work through the fundamental concepts that underpin modern understanding of quantum phases and their topological properties.
Syllabus
Pieter Naajkens | Classification of phases and long-range entanglement
Taught by
Harvard CMSA