Valence Bond Entanglement Entropy

Abstract

We introduce for SU(2) quantum spin systems the Valence Bond Entanglement Entropy as a counting of valence bond spin singlets shared by two subsystems. For a large class of antiferromagnetic systems, it can be calculated in all dimensions with Quantum Monte Carlo simulations in the valence bond basis. We show numerically that this quantity displays all features of the von Neumann entanglement entropy for several one-dimensional systems. For two-dimensional Heisenberg models, we find a strict area law for a Valence Bond Solid state and multiplicative logarithmic corrections for the Neel phase.

4 pages, 3 figures, v2: small corrections, published version

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Cited by in corpus (7)

• Entanglement entropy at infinite randomness fixed points in higher dimensions
• Quantum Many-Body Dynamics of Coupled Double-Well Superlattices
• Correlation amplitude and entanglement entropy in random spin chains
• Valence Bond and von Neumann Entanglement Entropy in Heisenberg Ladders
• Master equation approach to computing RVB bond amplitudes
• Hardcore dimer aspects of the SU(2) Singlet wavefunction
• Frustration, Area Law, and Interference in Quantum Spin Models