dorsal/arxiv
View SchemaAnalytical solutions for two-level systems with damping
| Authors | Christian Brouder |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611238 |
| URL | https://arxiv.org/abs/quant-ph/0611238 |
| DOI | 10.1088/1751-8113/40/31/020 |
| Journal | Journal of Physics Condensed Matter 40, 31 (2007) 9455 |
Abstract
A method is proposed to transform any analytic solution of the Bloch equation into an analytic solution of the Landau-Lifshitz-Gilbert equation. This allows for the analytical description of the dynamics of a two level system with damping. This method shows that damping turns the linear Schr\"{o}dinger equation of a two-level system into a nonlinear Schr\"{o}dinger equation. As applications, it is shown that damping has a relatively mild influence on self-induced transparency but destroys dynamical localization.
{
"annotation_id": "33f17479-23ab-429e-9ec6-a393eae47c2e",
"date_created": "2026-03-02T18:02:34.482000Z",
"date_modified": "2026-03-02T18:02:34.482000Z",
"file_hash": "1157107a972a0f1a2e7fdfcdc2630cbd28f7dbbfd78994007e6fe8992cb96d34",
"private": false,
"record": {
"abstract": "A method is proposed to transform any analytic solution of the Bloch equation\ninto an analytic solution of the Landau-Lifshitz-Gilbert equation. This allows\nfor the analytical description of the dynamics of a two level system with\ndamping. This method shows that damping turns the linear Schr\\\"{o}dinger\nequation of a two-level system into a nonlinear Schr\\\"{o}dinger equation. As\napplications, it is shown that damping has a relatively mild influence on\nself-induced transparency but destroys dynamical localization.",
"arxiv_id": "quant-ph/0611238",
"authors": [
"Christian Brouder"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1751-8113/40/31/020",
"journal_ref": "Journal of Physics Condensed Matter 40, 31 (2007) 9455",
"title": "Analytical solutions for two-level systems with damping",
"url": "https://arxiv.org/abs/quant-ph/0611238"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "1b9b4864-57d4-492c-b787-1b6ca795aac9",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}