dorsal/arxiv
View SchemaQuantum averaging and resonances: two-level atom in a one-mode quantized field
| Authors | M. Amniat-Talab, S. Guerin, H. R. Jauslin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312077 |
| URL | https://arxiv.org/abs/quant-ph/0312077 |
Abstract
We construct a non-perturbative approach based on quantum averaging combined with resonant transformations to detect the resonances of a given Hamiltonian and to treat them. This approach, that generalizes the rotating-wave approximation, takes into account the resonances at low field and also at high field (non-linear resonances). This allows to derive effective Hamiltonians that contain the qualitative features of the spectrum, i.e. crossings and avoided crossings, as a function of the coupling constant. At a second stage the precision of the spectrum can be improved quantitatively by standard perturbative methods like contact transformations. We illustrate this method to determine the spectrum of a two-level atom interacting with a single mode of a quantized field.
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"date_created": "2026-03-02T18:02:02.911000Z",
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"abstract": "We construct a non-perturbative approach based on quantum averaging combined\nwith resonant transformations to detect the resonances of a given Hamiltonian\nand to treat them. This approach, that generalizes the rotating-wave\napproximation, takes into account the resonances at low field and also at high\nfield (non-linear resonances). This allows to derive effective Hamiltonians\nthat contain the qualitative features of the spectrum, i.e. crossings and\navoided crossings, as a function of the coupling constant. At a second stage\nthe precision of the spectrum can be improved quantitatively by standard\nperturbative methods like contact transformations. We illustrate this method to\ndetermine the spectrum of a two-level atom interacting with a single mode of a\nquantized field.",
"arxiv_id": "quant-ph/0312077",
"authors": [
"M. Amniat-Talab",
"S. Guerin",
"H. R. Jauslin"
],
"categories": [
"quant-ph"
],
"title": "Quantum averaging and resonances: two-level atom in a one-mode quantized field",
"url": "https://arxiv.org/abs/quant-ph/0312077"
},
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"execution_id": "cb289950-71ef-488b-b40c-e961b9ed8d4d",
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"variant": "snapshot-2026-03-01",
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