dorsal/arxiv
View SchemaThe ground state entanglement in the $XXZ$ model
| Authors | Shi-Jian Gu, Guang-Shan Tian, Hai-Qing Lin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0408101 |
| URL | https://arxiv.org/abs/quant-ph/0408101 |
| DOI | 10.1103/PhysRevA.71.052322 |
| Journal | Phys. Rev. A 71, 052322 (2005). |
Abstract
In this paper, we investigate spin entanglement in the $XXZ$ model defined on a $d$-dimensional bipartite lattice. The concurrence, a measure of the entanglement between two spins, is analyzed. We prove rigorously that the ground state concurrence reaches maximum at the isotropic point. For dimensionality $d \ge 2$, the concurrence develops a cusp at the isotropic point and we attribute it to the existence of magnetic long-range order.
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"abstract": "In this paper, we investigate spin entanglement in the $XXZ$ model defined on\na $d$-dimensional bipartite lattice. The concurrence, a measure of the\nentanglement between two spins, is analyzed. We prove rigorously that the\nground state concurrence reaches maximum at the isotropic point. For\ndimensionality $d \\ge 2$, the concurrence develops a cusp at the isotropic\npoint and we attribute it to the existence of magnetic long-range order.",
"arxiv_id": "quant-ph/0408101",
"authors": [
"Shi-Jian Gu",
"Guang-Shan Tian",
"Hai-Qing Lin"
],
"categories": [
"quant-ph",
"cond-mat.str-el"
],
"doi": "10.1103/PhysRevA.71.052322",
"journal_ref": "Phys. Rev. A 71, 052322 (2005).",
"title": "The ground state entanglement in the $XXZ$ model",
"url": "https://arxiv.org/abs/quant-ph/0408101"
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