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

References in corpus (4)

• Matrix product states represent ground states faithfully
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Comparison of the phase diagram of the half-filled layered organic superconductors with the phase diagram of the RVB theory of the Hubbard-Heisenberg model
• d-wave resonating valence bond states of fermionic atoms in optical lattices

Cited by in corpus (5)

• Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
• Optimal Cloning and Singlet Monogamy
• Thermal robustness of multipartite entanglement of the 1-D spin 1/2 XY model
• Dimensionality induced entanglement in macroscopic dimer systems
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