dorsal/arxiv
View SchemaEnergy and multipartite entanglement in multidimensional and frustrated spin models
| Authors | Otfried Gühne, Geza Toth |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510186 |
| URL | https://arxiv.org/abs/quant-ph/0510186 |
| DOI | 10.1103/PhysRevA.73.052319 |
| Journal | Phys. Rev. A 73, 052319 (2006) |
Abstract
We investigate the relation between the entanglement properties of a quantum state and its energy for macroscopic spin models. To this aim, we develop a general method to compute energy bounds for states without certain forms of multipartite entanglement. Violation of these bounds implies the presence of these types of multipartite entanglement. As examples, we investigate the Heisenberg model in different dimensions, the Ising model and the XX model in the presence of a magnetic field. Finally, by studying the Heisenberg model on a triangular lattice, we demonstrate that our techniques can be applied also to frustrated systems.
{
"annotation_id": "2d0ed5fd-7f20-4dd9-b9d3-ca98822a225b",
"date_created": "2026-03-02T18:02:20.023000Z",
"date_modified": "2026-03-02T18:02:20.023000Z",
"file_hash": "7d02cfce9bed792981e826bb09b2478498c9a9429fff9fa0e62dca14aa754ba8",
"private": false,
"record": {
"abstract": "We investigate the relation between the entanglement properties of a quantum\nstate and its energy for macroscopic spin models. To this aim, we develop a\ngeneral method to compute energy bounds for states without certain forms of\nmultipartite entanglement. Violation of these bounds implies the presence of\nthese types of multipartite entanglement. As examples, we investigate the\nHeisenberg model in different dimensions, the Ising model and the XX model in\nthe presence of a magnetic field. Finally, by studying the Heisenberg model on\na triangular lattice, we demonstrate that our techniques can be applied also to\nfrustrated systems.",
"arxiv_id": "quant-ph/0510186",
"authors": [
"Otfried G\u00fchne",
"Geza Toth"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevA.73.052319",
"journal_ref": "Phys. Rev. A 73, 052319 (2006)",
"title": "Energy and multipartite entanglement in multidimensional and frustrated spin models",
"url": "https://arxiv.org/abs/quant-ph/0510186"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "2e4b7a9f-8264-48e1-b900-a53ddb978911",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}