dorsal/arxiv
View SchemaExact isolated solutions for the two-photon Rabi Hamiltonian
| Authors | C. Emary, R. F. Bishop |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206182 |
| URL | https://arxiv.org/abs/quant-ph/0206182 |
| DOI | 10.1088/0305-4470/35/39/307 |
| Journal | J. Phys. A: Math. Gen. {\bf 35}, 8231 (2002) |
Abstract
The two-photon Rabi Hamiltonian is a simple model describing the interaction of light with matter, with the interaction being mediated by the exchange of two photons. Although this model is exactly soluble in the rotating-wave approximation, we work with the full Hamiltonian, maintaining the non-integrability of the model. We demonstrate that, despite this non-integrability, there exist isolated, exact solutions for this model analogous to the so-called Juddian solutions found for the single-photon Rabi Hamiltonian. In so doing we use a Bogoliubov transformation of the field mode, as described by the present authors in an earlier publication.
{
"annotation_id": "d8278e21-7cde-49c3-bb1f-292b07e78b62",
"date_created": "2026-03-02T18:01:52.291000Z",
"date_modified": "2026-03-02T18:01:52.291000Z",
"file_hash": "32b712f8f6fecd6078ef2fae3236e71a03b2a422137bfc94ceb3d0a6b8cb7a02",
"private": false,
"record": {
"abstract": "The two-photon Rabi Hamiltonian is a simple model describing the interaction\nof light with matter, with the interaction being mediated by the exchange of\ntwo photons. Although this model is exactly soluble in the rotating-wave\napproximation, we work with the full Hamiltonian, maintaining the\nnon-integrability of the model. We demonstrate that, despite this\nnon-integrability, there exist isolated, exact solutions for this model\nanalogous to the so-called Juddian solutions found for the single-photon Rabi\nHamiltonian. In so doing we use a Bogoliubov transformation of the field mode,\nas described by the present authors in an earlier publication.",
"arxiv_id": "quant-ph/0206182",
"authors": [
"C. Emary",
"R. F. Bishop"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/35/39/307",
"journal_ref": "J. Phys. A: Math. Gen. {\\bf 35}, 8231 (2002)",
"title": "Exact isolated solutions for the two-photon Rabi Hamiltonian",
"url": "https://arxiv.org/abs/quant-ph/0206182"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "421c2ddd-7bbc-4693-b810-944567848235",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}