Bipartite entanglement entropy in fractional quantum Hall states

Details Bipartite entanglement entropy in fractional quantum Hall states Bipartite entanglement entropy in fractional quantum Hall states

2007-05-29

arxiv.org/abs/0705.4176v2

Physical Review B76, 125310 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevB.76.125310

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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