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A Numerical Study of Entanglement Entropy of the Heisenberg Model on a Bethe Cluster | | Barry Friedman
; Greg Levine
; | | Date: |
24 Mar 2015 | | Abstract: | Numerical evidence is presented for a nearest neighbor Heisenberg spin model
on a Bethe cluster, that by bisecting the cluster, the generalized Renyi
entropy scales as the number of sites in the cluster. This disagrees with spin
wave calculations and a naive application of the area law but agrees with
previous results for non interacting fermions on the Bethe cluster. It seems
this scaling is not an artifact of non interacting particles. As a consequence,
the area law in greater then one dimension is more subtle then generally
thought and applications of the density matrix renormalization group to Bethe
clusters face difficulties at least as a matter of principle. | | Source: | arXiv, 1503.7127 | | Services: | Forum | Review | PDF | Favorites | |
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