Bipartite entanglement entropy in fractional quantum Hall 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.

12 pages, 7 figures, small corrections to table III and references added

References in corpus (4)

• Entanglement entropy in fermionic Laughlin states
• Topological Entanglement Entropy from the Holographic Partition Function
• Correlation functions of one-dimensional anyonic fluids
• Entropy and Exact Matrix Product Representation of the Laughlin Wave Function

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