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arXiv · 0705.4176

Bipartite entanglement entropy in fractional quantum Hall states

O. S. Zozulya·M. Haque·K. Schoutens·E. H. Rezayi
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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.

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O. S. Zozulya, M. Haque, K. Schoutens, E. H. Rezayi. 2007-10-17. Bipartite entanglement entropy in fractional quantum Hall states. https://doi.org/10.1103/physrevb.76.125310

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