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arXiv quant-ph/04040262004-04-05quant-phcond-mat.stat-mech

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

Vladislav Popkov, Mario Salerno

备注：: 4 pages, 2 figs
发表信息：: Phys. Rev. A 71, 012301(2005)
DOI：: 10.1103/PhysRevA.71.012301

英文摘要：

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 ${1/2}\log_{2} \frac{n(L-n)}{L}C(y)$, where $C(y)=2πe({1/4}-y^{2})$

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