dorsal/arxiv
View SchemaLogarithmic divergence of the block entanglement entropy for the ferromagnetic Heisenberg model
| Authors | Vladislav Popkov, Mario Salerno |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404026 |
| URL | https://arxiv.org/abs/quant-ph/0404026 |
| DOI | 10.1103/PhysRevA.71.012301 |
| Journal | Phys. Rev. A 71, 012301(2005) |
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 ${1/2}\log_{2} \frac{n(L-n)}{L}C(y)$, where $C(y)=2\pi e({1/4}-y^{2})$
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"abstract": "Recent studies have shown that logarithmic divergence of entanglement entropy\nas function of size of a subsystem is a signature of criticality in quantum\nmodels. We demonstrate that the ground state entanglement entropy of $ n$ sites\nfor ferromagnetic Heisenberg spin-1/2 chain of the length $L$ in a sector with\nfixed magnetization $y$ per site grows as ${1/2}\\log_{2} \\frac{n(L-n)}{L}C(y)$,\nwhere $C(y)=2\\pi e({1/4}-y^{2})$",
"arxiv_id": "quant-ph/0404026",
"authors": [
"Vladislav Popkov",
"Mario Salerno"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevA.71.012301",
"journal_ref": "Phys. Rev. A 71, 012301(2005)",
"title": "Logarithmic divergence of the block entanglement entropy for the ferromagnetic Heisenberg model",
"url": "https://arxiv.org/abs/quant-ph/0404026"
},
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