dorsal/arxiv
View SchemaStability of excited atoms in small cavities
| Authors | G. Flores-Hidalgo, A. P. C. Malbouisson, Y. W. Milla |
|---|---|
| Categories | |
| ArXiv ID | physics/0111042 |
| URL | https://arxiv.org/abs/physics/0111042 |
| DOI | 10.1103/PhysRevA.65.063414 |
| Journal | Phys. Rev. A65, 063414 (2002) |
Abstract
We consider a system consisting of an atom in the approximation of a harmonic oscillator of frequency $\bar{\omega}$, coupled to the scalar potential inside a spherical reflecting cavity of radius R. We use {\it dressed} states introduced in a previous publication [Andion, Malbouisson and Matos Neto, J. Phys. A34, 3735 (2001)], which allow a non-perturbative unified description of the atom radiation process, in both cases, of a finite or an arbitrarily large cavity. We perform a study of the energy distribution in a small cavity, with the initial condition that the atom is in the first excited state and we conclude for the quasi-stability of the excited atom. For instance, for a frequency $\bar{\omega}$ of the order $\bar{\omega}\sim 4.00\times 10^{14}/s$ (in the visible red), starting from the initial condition that the atom is in the first excited level, we find that for a cavity with diameter $2R\sim 1.0\times 10^{-6}m$, the probability that the atom be at any time still in the first excited level, will be of the order of 97%. For a typical microwave frequency $\bar{\omega}\sim 2,00\times 10^{10}/s$ we find stability in the first excited state also of the order of 97% for a cavity radius $R\sim 1.4\times 10^{-2}m$.
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"abstract": "We consider a system consisting of an atom in the approximation of a harmonic\noscillator of frequency $\\bar{\\omega}$, coupled to the scalar potential inside\na spherical reflecting cavity of radius R. We use {\\it dressed} states\nintroduced in a previous publication [Andion, Malbouisson and Matos Neto, J.\nPhys. A34, 3735 (2001)], which allow a non-perturbative unified description of\nthe atom radiation process, in both cases, of a finite or an arbitrarily large\ncavity. We perform a study of the energy distribution in a small cavity, with\nthe initial condition that the atom is in the first excited state and we\nconclude for the quasi-stability of the excited atom. For instance, for a\nfrequency $\\bar{\\omega}$ of the order $\\bar{\\omega}\\sim 4.00\\times 10^{14}/s$\n(in the visible red), starting from the initial condition that the atom is in\nthe first excited level, we find that for a cavity with diameter $2R\\sim\n1.0\\times 10^{-6}m$, the probability that the atom be at any time still in the\nfirst excited level, will be of the order of 97%. For a typical microwave\nfrequency $\\bar{\\omega}\\sim 2,00\\times 10^{10}/s$ we find stability in the\nfirst excited state also of the order of 97% for a cavity radius $R\\sim\n1.4\\times 10^{-2}m$.",
"arxiv_id": "physics/0111042",
"authors": [
"G. Flores-Hidalgo",
"A. P. C. Malbouisson",
"Y. W. Milla"
],
"categories": [
"physics.atom-ph",
"hep-ph",
"hep-th",
"physics.optics",
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.063414",
"journal_ref": "Phys. Rev. A65, 063414 (2002)",
"title": "Stability of excited atoms in small cavities",
"url": "https://arxiv.org/abs/physics/0111042"
},
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