Topological Entanglement Entropy in Chern-Simons Theories and Quantum Hall Fluids
Shiying Dong, Eduardo Fradkin, Robert G. Leigh, Sean Nowling
TL;DR
This paper calculates the entanglement entropy in Chern-Simons theories to identify the universal topological component relevant for understanding quantum Hall fluids.
Contribution
It provides a direct computation method for entanglement entropy in Chern-Simons theories and applies it to quantum Hall fluids to extract their topological entropy.
Findings
Universal topological entanglement entropy determined for Abelian and non-Abelian quantum Hall fluids.
Surgical method used for direct computation of entanglement entropy in 2+1D gauge theories.
Insights into topological order in quantum Hall systems.
Abstract
We compute directly the entanglement entropy of spatial regions in Chern-Simons gauge theories in 2+1 dimensions using surgery. We use these results to determine the universal topological piece of the entanglement entropy for Abelian and non-Abelian quantum Hall fluids.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.