Regional versus Global Entanglement in Resonating-Valence-Bond states

Abstract

We investigate the entanglement properties of resonating-valence-bond states on two and higher dimensional lattices, which play a significant role in our understanding of various many-body systems. We show that these states are genuinely multipartite entangled, while there is only a negligible amount of two-site entanglement. We comment on possible physical implications of our findings.

4 pages, no figures, RevTeX4; v2: improved result in the multiparty case, presentation improved (5 pages, one figure); v3: further changes in presentation, results unchanged, published version