O. S. Zozulya, M. Haque, K. Schoutens, E. H. Rezayi
Published 2007-05-29, updated 2007-10-17Version 2
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.
Comments: 12 pages, 7 figures, small corrections to table III and references added
Journal: Physical Review B76, 125310 (2007)
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