dorsal/arxiv
View SchemaQuantum Entanglement in Heisenberg Antiferromagnets
| Authors | V. Subrahmanyam |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0309004 |
| URL | https://arxiv.org/abs/quant-ph/0309004 |
| DOI | 10.1103/PhysRevA.69.022311 |
| Journal | Phys. Rev. A69, 022311 (2004) |
Abstract
Entanglement sharing among pairs of spins in Heisenberg antiferromagnets is investigated using the concurrence measure. For a nondegenerate S=0 ground state, a simple formula relates the concurrence to the diagonal correlation function. The concurrence length is seen to be extremely short. A few finite clusters are studied numerically, to see the trend in higher dimensions. It is argued that nearest-neighbour concurrence is zero for triangular and Kagome lattices. The concurrences in the maximal-spin states are explicitly calculated, where the concurrence averaged over all pairs is larger than the S=0 states.
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"abstract": "Entanglement sharing among pairs of spins in Heisenberg antiferromagnets is\ninvestigated using the concurrence measure. For a nondegenerate S=0 ground\nstate, a simple formula relates the concurrence to the diagonal correlation\nfunction. The concurrence length is seen to be extremely short. A few finite\nclusters are studied numerically, to see the trend in higher dimensions. It is\nargued that nearest-neighbour concurrence is zero for triangular and Kagome\nlattices. The concurrences in the maximal-spin states are explicitly\ncalculated, where the concurrence averaged over all pairs is larger than the\nS=0 states.",
"arxiv_id": "quant-ph/0309004",
"authors": [
"V. Subrahmanyam"
],
"categories": [
"quant-ph",
"cond-mat.str-el"
],
"doi": "10.1103/PhysRevA.69.022311",
"journal_ref": "Phys. Rev. A69, 022311 (2004)",
"title": "Quantum Entanglement in Heisenberg Antiferromagnets",
"url": "https://arxiv.org/abs/quant-ph/0309004"
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