Entanglement Entropy, Quantum Field Theory, and Holography by Matthew Headrick
Offered By: International Centre for Theoretical Sciences via YouTube
Course Description
Overview
Explore the intricate connections between entanglement entropy, quantum field theory, and holography in this comprehensive lecture. Delve into the fundamental concepts of classical and quantum information theory, including subsystems, entanglement measures, and mutual information. Examine the application of these principles to quantum field theory and spin systems, with a focus on entropy and entanglement in extended systems. Gain insights into the mathematical foundations and physical implications of entanglement, from basic inequalities to advanced estimates. Conclude with a Q&A session to further clarify complex topics and their relevance to modern physics research.
Syllabus
Start
Entanglement entropy, quantum field theory, and holography
How entangled?
Outline
I. A. Classical
Series of inequalities
B. Quantum
Subsystems
How to tell?
Example
Entanglement entropy
Entanglement vs. classical correlation
D. Mutual information
II. Entropy Entanglement + Fields
Spin systems
Slightly better estimate
Q&A
Taught by
International Centre for Theoretical Sciences
Related Courses
Information TheoryThe Chinese University of Hong Kong via Coursera Fundamentals of Electrical Engineering
Rice University via Coursera Computational Neuroscience
University of Washington via Coursera Introduction to Complexity
Santa Fe Institute via Complexity Explorer Tutorials for Complex Systems
Santa Fe Institute via Complexity Explorer