Bipartite entanglement entropy in fractional quantum Hall states
Mesoscale and Nanoscale Physics
2009-11-13 v2
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.
Keywords
Cite
@article{arxiv.0705.4176,
title = {Bipartite entanglement entropy in fractional quantum Hall states},
author = {O. S. Zozulya and M. Haque and K. Schoutens and E. H. Rezayi},
journal= {arXiv preprint arXiv:0705.4176},
year = {2009}
}
Comments
12 pages, 7 figures, small corrections to table III and references added