dorsal/arxiv
View SchemaAdiabatic Time Evolution in Spin-Systems
| Authors | V. Murg, J. I. Cirac |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0309026 |
| URL | https://arxiv.org/abs/quant-ph/0309026 |
| DOI | 10.1103/PhysRevA.69.042320 |
| Journal | Phys. Rev. A 69, 042320 (2004) |
Abstract
Adiabatic processes in the quantum Ising model and the anisotropic Heisenberg model are discussed. The adiabatic processes are assumed to consist in the slow variation of the strength of the magnetic field that environs the spin-systems. These processes are of current interest in the treatment of cold atoms in optical lattices and in Adiabatic Quantum Computation. We determine the probability that, during an adiabatic passage starting from the ground state, states with higher energy are excited.
{
"annotation_id": "26b0bde7-6580-4473-957d-967b081f1b53",
"date_created": "2026-03-02T18:02:02.261000Z",
"date_modified": "2026-03-02T18:02:02.261000Z",
"file_hash": "03999ed097d57292bc66528ffa4462f5a7d367b6c96590dc0830593f7249a96b",
"private": false,
"record": {
"abstract": "Adiabatic processes in the quantum Ising model and the anisotropic Heisenberg\nmodel are discussed. The adiabatic processes are assumed to consist in the slow\nvariation of the strength of the magnetic field that environs the spin-systems.\nThese processes are of current interest in the treatment of cold atoms in\noptical lattices and in Adiabatic Quantum Computation. We determine the\nprobability that, during an adiabatic passage starting from the ground state,\nstates with higher energy are excited.",
"arxiv_id": "quant-ph/0309026",
"authors": [
"V. Murg",
"J. I. Cirac"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.042320",
"journal_ref": "Phys. Rev. A 69, 042320 (2004)",
"title": "Adiabatic Time Evolution in Spin-Systems",
"url": "https://arxiv.org/abs/quant-ph/0309026"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3e303b4a-ec0d-4be3-a2cb-91d8e5b71adf",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}