Entanglement and Topology in Quantum Solids - Lecture 1

Explore the fascinating world of quantum entanglement and topology in solids through this comprehensive lecture by Harvard University's Ashvin Vishwanath. Delve into the fundamental concepts of quantum superposition, non-locality, and many-particle systems. Discover how entanglement helps classify and uncover new topological phases of matter with potential applications in quantum technologies. Examine the classification of phases, ordered phases, and the role of topology in matter. Investigate specific topics such as integer quantum Hall effect, Chern insulators, 3D Weyl semimetals, and their topological properties. Learn about cutting-edge research in magic angle graphene and correlation effects in twisted bilayer graphene. Gain insights into topology with strong interactions, non-abelian quantum Hall states, and topological order in spin models. Explore the characterization of topological order through entanglement and the remarkable connection between different types of topology in surface topological order. Conclude with a Q&A session to further enhance your understanding of these complex quantum phenomena.

DATE: 23 December 2019, 16:00 to
Date & Time : Monday, December 23, 2019 at
Date & Time : Tuesday, December 24, 2019 at
Date & Time : Thursday, December 26, 2019 at
ICTS
Introduction to Speaker
Topology and Entanglement in Quantum Matter
Overview
Quantum Entanglement
Quantum Superposition and Entanglement
Quantum NonLocality
Quantum Mechanics of Many Particles
Classifying Phases of Matter
Classifying Phases - An Analogy
Entanglement of Ordered Phases
Beyond Classical Orders?
Topology and Phases of Matter
Integer Quantum Hall and Chem
Quantifying Entanglement
Chem insulator and Entanglement
3D Magnetic Weyl Semimetals
Weyl Semimetal Candidates?
Topological Properties I - Surface States
Classical Example: Copper
Quantum Oscillations from Fermi Arcs?
Experimental search for Dirac surface arcs
Applications
Application 3: Magic Angle Graphene
Correlation Effects in Twisted Bilayer Graphene
Topology with Strong Interactions
Non Abelian Quantum Hall
Topological Order in a Spin Model
Z2 Gauge Theory
Entanglement Characterization of Topological Order
Surface Topological Order - A Remarkable Connection between two kinds of topology
Conclusion
Q&A