dorsal/arxiv
View SchemaQuantum Annealing for Heisenberg Spin Chains
| Authors | G. P. Berman, V. N. Gorshkov, V. I. Tsifrinovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702048 |
| URL | https://arxiv.org/abs/quant-ph/0702048 |
Abstract
We suggest using the method of quantum annealing for computing the ground state of the Heisenberg spin chains. Our initial Hamiltonian describes a spin system in a highly non-uniform magnetic field. The initial Hamiltonian gradually transforms into the Heisenberg Hamiltonian, which describes the exchange interaction and the Zeeman interaction with the uniform magnetic field. We demonstrate quantum annealing for 2-, 3-, and 9-spin systems. In particular, we consider the alternate (ferro- and antiferromagnetic) exchange integral. By changing the sign of the exchange integrals we switch from the frustrated to the corresponding non-frustrated spin system. We discuss the similarity and difference between the frustrated and non-frustrated spin systems.
{
"annotation_id": "381c0606-9081-4e83-811c-9b5cfd7b4598",
"date_created": "2026-03-02T18:02:33.643000Z",
"date_modified": "2026-03-02T18:02:33.643000Z",
"file_hash": "c5cbfd0be9aafb489230a872c1ad94268ae9568c8b82bf726114b80d7c39f764",
"private": false,
"record": {
"abstract": "We suggest using the method of quantum annealing for computing the ground\nstate of the Heisenberg spin chains. Our initial Hamiltonian describes a spin\nsystem in a highly non-uniform magnetic field. The initial Hamiltonian\ngradually transforms into the Heisenberg Hamiltonian, which describes the\nexchange interaction and the Zeeman interaction with the uniform magnetic\nfield. We demonstrate quantum annealing for 2-, 3-, and 9-spin systems. In\nparticular, we consider the alternate (ferro- and antiferromagnetic) exchange\nintegral. By changing the sign of the exchange integrals we switch from the\nfrustrated to the corresponding non-frustrated spin system. We discuss the\nsimilarity and difference between the frustrated and non-frustrated spin\nsystems.",
"arxiv_id": "quant-ph/0702048",
"authors": [
"G. P. Berman",
"V. N. Gorshkov",
"V. I. Tsifrinovich"
],
"categories": [
"quant-ph"
],
"title": "Quantum Annealing for Heisenberg Spin Chains",
"url": "https://arxiv.org/abs/quant-ph/0702048"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6b9f4c86-adb1-492a-a9da-393992e05495",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}