Domain wall topological entanglement entropy
arXiv:2008.11794 · doi:10.1103/PhysRevLett.126.141602
Abstract
We study the ground-state entanglement of gapped domain walls between topologically ordered systems in two spatial dimensions. We derive a universal correction to the ground-state entanglement entropy, which is equal to the logarithm of the total quantum dimension of a set of superselection sectors localized on the domain wall. This expression is derived from the recently proposed entanglement bootstrap method.
arXiv comment5 pages, 5 figures
References in corpus (15)
- Fault-tolerant quantum computation by anyons
- Anyons in an exactly solved model and beyond
- Topological entanglement entropy
- Detecting topological order in a ground state wave function
- Models for gapped boundaries and domain walls
- Quantum conditional mutual information and approximate Markov chains
- The Quantum Double Model with Boundary: Condensations and Symmetries
- Gapped Domain Walls, Gapped Boundaries and Topological Degeneracy
- Ground State Degeneracy of Topological Phases on Open Surfaces
- Topological Entanglement Entropy with a Twist
- Fusion rules from entanglement
- Information-theoretical analysis of topological entanglement entropy and multipartite correlations
- Characterizing topological order by the information convex
- Seeing topological entanglement through the information convex
- Verlinde formula from entanglement
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