dorsal/arxiv
View SchemaNonlinear Jaynes-Cummings model of atom-field interaction
| Authors | S. Sivakumar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302046 |
| URL | https://arxiv.org/abs/quant-ph/0302046 |
| DOI | 10.1007/s10773-004-7707-2 |
Abstract
Interaction of a two-level atom with a single mode of electromagnetic field including Kerr nonlinearity for the field and intensity-dependent atom-field coupling is discussed. The Hamiltonian for the atom-field system is written in terms of the elements of a closed algebra, which has SU(1,1) and Heisenberg-Weyl algebras as limiting cases. Eigenstates and eigenvalues of the Hamiltonian are constructed. With the field being in a coherent state initially, the dynamical behaviour of atomic-inversion, field-statistics and uncertainties in the field quadratures are studied. The appearance of nonclassical features during the evolution of the field is shown. Further, we explore the overlap of initial and time-evolved field states.
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"date_created": "2026-03-02T18:01:56.403000Z",
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"abstract": "Interaction of a two-level atom with a single mode of electromagnetic field\nincluding Kerr nonlinearity for the field and intensity-dependent atom-field\ncoupling is discussed. The Hamiltonian for the atom-field system is written in\nterms of the elements of a closed algebra, which has\n SU(1,1) and Heisenberg-Weyl algebras as limiting cases. Eigenstates and\neigenvalues of the Hamiltonian are constructed.\n With the field being in a coherent state initially, the dynamical behaviour\nof atomic-inversion, field-statistics and uncertainties in the field\nquadratures are studied. The appearance of nonclassical features during the\nevolution of the field is shown. Further, we explore the overlap of initial and\ntime-evolved field states.",
"arxiv_id": "quant-ph/0302046",
"authors": [
"S. Sivakumar"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s10773-004-7707-2",
"title": "Nonlinear Jaynes-Cummings model of atom-field interaction",
"url": "https://arxiv.org/abs/quant-ph/0302046"
},
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