Logarithmic divergence of the block entanglement entropy for the ferromagnetic Heisenberg model

2004/04/05 by Vladislav Popkov, Mario Salerno · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreva.71.012301

published as Phys. Rev. A 71, 012301(2005) · 4 pages, 2 figs

arxiv created 2004/04/05 · arxiv updated 2011/07/13

Abstract

Recent studies have shown that logarithmic divergence of entanglement entropy as function of size of a subsystem is a signature of criticality in quantum models. We demonstrate that the ground state entanglement entropy of n sites for ferromagnetic Heisenberg spin-1/2 chain of the length L in a sector with fixed magnetization y per site grows as 1/2log₂ (n(L-n))/(L)C(y), where C(y)=2πe(1/4-y²)

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