Geometry versus Entanglement in Resonating Valence Bond Liquids

Abstract

We investigate the behavior of bipartite as well as genuine multipartite entanglement of a resonating valence bond state on a ladder. We show that the system possesses significant amounts of bipartite entanglement in the steps of the ladder while no substantial bipartite entanglement is present in the rails. Genuine multipartite entanglement present in the system is negligible. The results are in stark contrast with the entanglement properties of the same state on isotropic lattices in two and higher dimensions, indicating that the geometry of the lattice can have important implications on the quality of quantum information and other tasks that can be performed by using multiparty states on that lattice.

6 pages, 8 figures, RevTeX4

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• General Monogamy Inequality for Bipartite Qubit Entanglement
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• Critical behavior and entanglement of the random transverse-field Ising model between one and two dimensions
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• Detecting phase boundaries of quantum spin-1/2 XXZ ladder via bipartite and multipartite entanglement transitions
• Universality in Distribution of Monogamy Scores for Random Multiqubit Pure States
• Analytical recursive method to ascertain multisite entanglement in doped quantum spin ladders
• Genuine Multiparty Quantum Entanglement Suppresses Multiport Classical Information Transmission
• Activation of Nonmonogamous Multipartite Quantum States
• Response to defects in multi- and bipartite entanglement of isotropic quantum spin networks
• Estimating entanglement in 2D Heisenberg model in the strong rung-coupling limit