2009/05/31 by Ann B. Kallin, Iván González, Ivan Gonzalez +2 · 3 citations
Physics and Astronomy · #Opinion Dynamics and Social Influence #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.other #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevlett.103.117203
published as Phys. Rev. Lett., 103, 117203 (2009) · 4 pages, 3 figures. New data in figure 3
arxiv created 2009/07/09 · openalex publication_date 2009/09/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a direct comparison of the recently proposed valence bond entanglement entropy and the von Neumann entanglement entropy on spin-1/2 Heisenberg systems using quantum Monte Carlo and density-matrix renormalization group simulations. For one-dimensional chains we show that the valence bond entropy can be either less or greater than the von Neumann entropy; hence, it cannot provide a bound on the latter. On ladder geometries, simulations with up to seven legs are sufficient to indicate that the von Neumann entropy in two dimensions obeys an area law, even though the valence bond entanglement entropy has a multiplicative logarithmic correction.