Quantum averaging and resonances: two-level atom in a one-mode quantized field
| dc.creator | Amniat-Talab, M. | |
| dc.creator | Guerin, S. | |
| dc.creator | Jauslin, H. R. | |
| dc.date | 2003-12-09 | |
| dc.date.accessioned | 2026-07-07T06:08:34Z | |
| dc.date.available | 2026-07-07T06:08:34Z | |
| dc.description | 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. | |
| dc.description | 11 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0312077 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0312077 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91672 | |
| dc.subject | Quantum Physics | |
| dc.title | Quantum averaging and resonances: two-level atom in a one-mode quantized field | |
| dc.type | text |