Bipartite entanglement entropy in fractional quantum Hall states

TL;DR

This paper analyzes bipartite entanglement entropies in fractional quantum Hall states, deriving bounds and methods to extract topological entanglement entropy from wavefunctions, enhancing understanding of quantum correlations in these states.

Contribution

It introduces new bounds for bipartite entanglement and a method to extract topological entanglement entropy from finite particle wavefunctions in FQH states.

Findings

Derived upper bounds for particle-based entanglement

Established methods to extract topological entanglement entropy

Analyzed both abelian and non-abelian FQH states

Abstract

We present a detailed analysis of bipartite entanglement entropies in fractional quantum Hall (FQH) states, considering both abelian (Laughlin) and non-abelian (Moore-Read) states. We derive upper bounds for the entanglement between two subsets of the particles making up the state. We also consider the entanglement between spatial regions supporting a FQH state. Using the latter, we show how the so-called topological entanglement entropy of a FQH state can be extracted from wavefunctions for a limited number of particles.