dorsal/arxiv
View SchemaPerturbative evolution of far off-resonance driven two-level systems: Coherent population trapping, localization, and harmonic generation
| Authors | V. Delgado, J. M. Gomez Llorente |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006036 |
| URL | https://arxiv.org/abs/quant-ph/0006036 |
| DOI | 10.1088/0953-4075/33/23/312 |
| Journal | J. Phys. B, 33 (2000) 5403 |
Abstract
The time evolution of driven two-level systems in the far off-resonance regime is studied analytically. We obtain a general first-order perturbative expression for the time-dependent density operator which is applicable regardless of the coupling strength value. In the strong field regime, our perturbative expansion remains valid even when the far off-resonance condition is not fulfilled. We find that, in the absence of dissipation, driven two-level systems exhibit coherent population trapping in a certain region of parameter space, a property which, in the particular case of a symmetric double-well potential, implies the well-known localization of the system in one of the two wells. Finally, we show how the high-order harmonic generation that this kind of systems display can be obtained as a straightforward application of our formulation.
{
"annotation_id": "cf1e445a-1718-44f9-8a4b-43583e1bb6b2",
"date_created": "2026-03-02T18:01:39.254000Z",
"date_modified": "2026-03-02T18:01:39.254000Z",
"file_hash": "7941da604cf77743003e6f9d770052607e95a5fc336c59f9acb2a4ff4f6c8e45",
"private": false,
"record": {
"abstract": "The time evolution of driven two-level systems in the far off-resonance\nregime is studied analytically. We obtain a general first-order perturbative\nexpression for the time-dependent density operator which is applicable\nregardless of the coupling strength value. In the strong field regime, our\nperturbative expansion remains valid even when the far off-resonance condition\nis not fulfilled. We find that, in the absence of dissipation, driven two-level\nsystems exhibit coherent population trapping in a certain region of parameter\nspace, a property which, in the particular case of a symmetric double-well\npotential, implies the well-known localization of the system in one of the two\nwells. Finally, we show how the high-order harmonic generation that this kind\nof systems display can be obtained as a straightforward application of our\nformulation.",
"arxiv_id": "quant-ph/0006036",
"authors": [
"V. Delgado",
"J. M. Gomez Llorente"
],
"categories": [
"quant-ph",
"cond-mat.other"
],
"doi": "10.1088/0953-4075/33/23/312",
"journal_ref": "J. Phys. B, 33 (2000) 5403",
"title": "Perturbative evolution of far off-resonance driven two-level systems: Coherent population trapping, localization, and harmonic generation",
"url": "https://arxiv.org/abs/quant-ph/0006036"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "27e62cec-dcfb-479e-b3d0-4b1b91f6a2fe",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}