Domain wall topological entanglement entropy

TL;DR

This paper investigates the entanglement properties of gapped domain walls in topologically ordered systems, revealing a universal correction to entanglement entropy linked to quantum dimensions, derived via the entanglement bootstrap method.

Contribution

It introduces a universal correction to ground-state entanglement entropy for domain walls, connecting it to quantum dimensions using a novel entanglement bootstrap approach.

Findings

Universal correction to entanglement entropy equals the log of quantum dimensions.

Derived a formula for entanglement entropy correction in topological domain walls.

Applied the entanglement bootstrap method to topologically ordered systems.

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.