Domain Wall Topological Entanglement Entropy
Bowen Shi, Isaac H. Kim
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.
Topics & Concepts
Quantum entanglementSuperselectionLogarithmEntropy (arrow of time)PhysicsTopological entropy in physicsGround stateSquashed entanglementQuantum mechanicsTopology (electrical circuits)Joint quantum entropyStatistical physicsTheoretical physicsQuantumMathematicsTopological quantum numberMathematical analysisCombinatoricsQuantum many-body systemsQuantum and electron transport phenomenaTopological Materials and Phenomena