dorsal/arxiv
View SchemaSpontaneous decay in the presence of dispersing and absorbing bodies: general theory and application to a spherical cavity
| Authors | Ho Trung Dung, Ludwig Knoll, Dirk-Gunnar Welsch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0003138 |
| URL | https://arxiv.org/abs/quant-ph/0003138 |
| DOI | 10.1103/PhysRevA.62.053804 |
| Journal | Phys. Rev. A 62, 053804 (2000) |
Abstract
A formalism for studying spontaneous decay of an excited two-level atom in the presence of dispersing and absorbing dielectric bodies is developed. An integral equation, which is suitable for numerical solution, is derived for the atomic upper-state-probability amplitude. The emission pattern and the power spectrum of the emitted light are expressed in terms of the Green tensor of the dielectric-matter formation including absorption and dispersion. The theory is applied to the spontaneous decay of an excited atom at the center of a three-layered spherical cavity, with the cavity wall being modeled by a band-gap dielectric of Lorentz type. Both weak coupling and strong coupling are studied, the latter with special emphasis on the cases where the atomic transition is (i) in the normal-dispersion zone near the medium resonance and (ii) in the anomalous-dispersion zone associated with the band gap. In a single-resonance approximation, conditions of the appearance of Rabi oscillations and closed solutions to the evolution of the atomic state population are derived, which are in good agreement with the exact numerical results.
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"abstract": "A formalism for studying spontaneous decay of an excited two-level atom in\nthe presence of dispersing and absorbing dielectric bodies is developed. An\nintegral equation, which is suitable for numerical solution, is derived for the\natomic upper-state-probability amplitude. The emission pattern and the power\nspectrum of the emitted light are expressed in terms of the Green tensor of the\ndielectric-matter formation including absorption and dispersion. The theory is\napplied to the spontaneous decay of an excited atom at the center of a\nthree-layered spherical cavity, with the cavity wall being modeled by a\nband-gap dielectric of Lorentz type. Both weak coupling and strong coupling are\nstudied, the latter with special emphasis on the cases where the atomic\ntransition is (i) in the normal-dispersion zone near the medium resonance and\n(ii) in the anomalous-dispersion zone associated with the band gap. In a\nsingle-resonance approximation, conditions of the appearance of Rabi\noscillations and closed solutions to the evolution of the atomic state\npopulation are derived, which are in good agreement with the exact numerical\nresults.",
"arxiv_id": "quant-ph/0003138",
"authors": [
"Ho Trung Dung",
"Ludwig Knoll",
"Dirk-Gunnar Welsch"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.62.053804",
"journal_ref": "Phys. Rev. A 62, 053804 (2000)",
"title": "Spontaneous decay in the presence of dispersing and absorbing bodies: general theory and application to a spherical cavity",
"url": "https://arxiv.org/abs/quant-ph/0003138"
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