dorsal/arxiv
View SchemaThermal entanglement in three-qubit Heisenberg models
| Authors | Xiaoguang Wang, Hongchen Fu, Allan I Solomon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0105075 |
| URL | https://arxiv.org/abs/quant-ph/0105075 |
| DOI | 10.1088/0305-4470/34/50/312 |
| Journal | J. Phys. A: Math. Gen. 34(50), 11307-11320(2001) |
Abstract
We study pairwise thermal entanglement in three-qubit Heisenberg models and obtain analytic expressions for the concurrence. We find that thermal entanglement is absent from both the antiferromagnetic $XXZ$ model, and the ferromagnetic $XXZ$ model with anisotropy parameter $\Delta\ge 1$. Conditions for the existence of thermal entanglement are discussed in detail, as is the role of degeneracy and the effects of magnetic fields on thermal entanglement and the quantum phase transition. Specifically, we find that the magnetic field can induce entanglement in the antiferromagnetic $XXX$ model, but cannot induce entanglement in the ferromagnetic $XXX$ model.
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"abstract": "We study pairwise thermal entanglement in three-qubit Heisenberg models and\nobtain analytic expressions for the concurrence. We find that thermal\nentanglement is absent from both the antiferromagnetic $XXZ$ model, and the\nferromagnetic $XXZ$ model with anisotropy parameter $\\Delta\\ge 1$. Conditions\nfor the existence of thermal entanglement are discussed in detail, as is the\nrole of degeneracy and the effects of magnetic fields on thermal entanglement\nand the quantum phase transition. Specifically, we find that the magnetic field\ncan induce entanglement in the antiferromagnetic $XXX$ model, but cannot induce\nentanglement in the ferromagnetic $XXX$ model.",
"arxiv_id": "quant-ph/0105075",
"authors": [
"Xiaoguang Wang",
"Hongchen Fu",
"Allan I Solomon"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/34/50/312",
"journal_ref": "J. Phys. A: Math. Gen. 34(50), 11307-11320(2001)",
"title": "Thermal entanglement in three-qubit Heisenberg models",
"url": "https://arxiv.org/abs/quant-ph/0105075"
},
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