dorsal/arxiv
View SchemaEntanglement and Quantum Phases in the Anisotropic Ferromagnetic Heisenberg Chain in the Presence of Domain Walls
| Authors | F. C. Alcaraz, A. Saguia, M. S. Sarandy |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312039 |
| URL | https://arxiv.org/abs/quant-ph/0312039 |
| DOI | 10.1103/PhysRevA.70.032333 |
| Journal | Phys. Rev. A 70, 032333 (2004) |
Abstract
We discuss entanglement in the spin-1/2 anisotropic ferromagnetic Heisenberg chain in the presence of a boundary magnetic field generating domain walls. By increasing the magnetic field, the model undergoes a first-order quantum phase transition from a ferromagnetic to a kink-type phase, which is associated to a jump in the content of entanglement available in the system. Above the critical point, pairwise entanglement is shown to be non-vanishing and independent of the boundary magnetic field for large chains. Based on this result, we provide an analytical expression for the entanglement between arbitrary spins. Moreover the effects of the quantum domains on the gapless region and for antiferromagnetic anisotropy are numerically analysed. Finally multiparticle entanglement properties are considered, from which we establish a characterization of the critical anisotropy separating the gapless regime from the kink-type phase.
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"abstract": "We discuss entanglement in the spin-1/2 anisotropic ferromagnetic Heisenberg\nchain in the presence of a boundary magnetic field generating domain walls. By\nincreasing the magnetic field, the model undergoes a first-order quantum phase\ntransition from a ferromagnetic to a kink-type phase, which is associated to a\njump in the content of entanglement available in the system. Above the critical\npoint, pairwise entanglement is shown to be non-vanishing and independent of\nthe boundary magnetic field for large chains. Based on this result, we provide\nan analytical expression for the entanglement between arbitrary spins. Moreover\nthe effects of the quantum domains on the gapless region and for\nantiferromagnetic anisotropy are numerically analysed. Finally multiparticle\nentanglement properties are considered, from which we establish a\ncharacterization of the critical anisotropy separating the gapless regime from\nthe kink-type phase.",
"arxiv_id": "quant-ph/0312039",
"authors": [
"F. C. Alcaraz",
"A. Saguia",
"M. S. Sarandy"
],
"categories": [
"quant-ph",
"cond-mat"
],
"doi": "10.1103/PhysRevA.70.032333",
"journal_ref": "Phys. Rev. A 70, 032333 (2004)",
"title": "Entanglement and Quantum Phases in the Anisotropic Ferromagnetic Heisenberg Chain in the Presence of Domain Walls",
"url": "https://arxiv.org/abs/quant-ph/0312039"
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