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

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

2004-04-05

arxiv.org/abs/quant-ph/0404026v1

Phys. Rev. A 71, 012301(2005)

Physics

Quantum Physics

4 pages, 2 figs

Scientific paper

10.1103/PhysRevA.71.012301

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 $C(y)=2\pi e({1/4}-y^{2})$

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