2015/03/31 by B. A. Friedman, Barry A. Friedman, Gregory C. Levine +1
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Antiferromagnetism #Entropy (arrow of time) #Heisenberg model #Joint quantum entropy #Quantum Information and Cryptography #Quantum entanglement #Quantum many-body systems #Quantum relative entropy #Residual entropy #Rényi entropy #Scaling #cond-mat.str-el
paper · pdf · doi:10.1007/s10955-016-1640-7
published as Journal of Statistical Physics, November 2016, Volume 165, p 727-739
arxiv created 2016/06/02 · openalex created_date 2016/06/24 · openalex publication_date 2016/10/19 · arxiv updated 2017/10/13 · openalex updated_date 2026/08/05
The scaling of entanglement entropy for the nearest neighbor antiferromagnetic Heisenberg spin model is studied computationally for clusters joined by a single bond. Bisecting the balanced three legged Bethe Cluster, gives a second Renyi entropy and the valence bond entropy which scales as the number of sites in the cluster. For the analogous situation with square clusters, i.e. two L × L clusters joined by a single bond, numerical results suggest that the second Renyi entropy and the valence bond entropy scales as L. For both systems, the environment and the system are connected by the single bond and interaction is short range. The entropy is not constant with system size as suggested by the area law.