Domain wall topological entanglement entropy

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.

5 pages, 5 figures

References in corpus (1)

• Ground State Degeneracy of Topological Phases on Open Surfaces

Cited by in corpus (12)

• Chiral central charge from a single bulk wave function
• Modular commutator in gapped quantum many-body systems
• Entanglement bootstrap approach for gapped domain walls
• Boundary and domain wall theories of 2d generalized quantum double model
• Nonlocal growth of quantum conditional mutual information under decoherence
• Symmetry Fractionalized (Irrationalized) Fusion Rules and Two Domain-Wall Verlinde Formulae
• Stability of topological purity under random local unitaries
• Conformal geometry from entanglement
• Average scattering entropy for periodic, aperiodic and random distribution of vertices in simple quantum graphs
• Remote detectability from entanglement bootstrap I: Kirby's torus trick
• Knots and entanglement
• Scattering entropies of quantum graphs with several channels