dorsal/arxiv
View SchemaQED in dispersing and absorbing media
| Authors | Ludwig Knoll, Stefan Scheel, Dirk-Gunnar Welsch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006121 |
| URL | https://arxiv.org/abs/quant-ph/0006121 |
Abstract
After giving an outline of the quantization scheme based on the microscopic Hopfield model of a dielectric bulk material, we show how the classical phenomenological Maxwell equations of the electromagnetic field in the presence of dielectric matter of given space- and frequency-dependent complex permittivity can be transferred to quantum theory. Including in the theory the interaction of the medium-assisted field with atomic systems, we present both the minimal-coupling Hamiltonian and the multipolar-coupling Hamiltonian in the Coulomb gauge. To illustrate the concept, we discuss the input--output relations of radiation and the transformation of radiation-field quantum states at absorbing four-port devices, and the spontaneous decay of an excited atom near the surface of an absorbing body and in a spherical micro-cavity with intrinsic material losses. Finally, we give an extension of the quantization scheme to other media such as amplifying media, magnetic media, and nonlinear media.
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"date_created": "2026-03-02T18:01:39.259000Z",
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"abstract": "After giving an outline of the quantization scheme based on the microscopic\nHopfield model of a dielectric bulk material, we show how the classical\nphenomenological Maxwell equations of the electromagnetic field in the presence\nof dielectric matter of given space- and frequency-dependent complex\npermittivity can be transferred to quantum theory. Including in the theory the\ninteraction of the medium-assisted field with atomic systems, we present both\nthe minimal-coupling Hamiltonian and the multipolar-coupling Hamiltonian in the\nCoulomb gauge. To illustrate the concept, we discuss the input--output\nrelations of radiation and the transformation of radiation-field quantum states\nat absorbing four-port devices, and the spontaneous decay of an excited atom\nnear the surface of an absorbing body and in a spherical micro-cavity with\nintrinsic material losses. Finally, we give an extension of the quantization\nscheme to other media such as amplifying media, magnetic media, and nonlinear\nmedia.",
"arxiv_id": "quant-ph/0006121",
"authors": [
"Ludwig Knoll",
"Stefan Scheel",
"Dirk-Gunnar Welsch"
],
"categories": [
"quant-ph"
],
"title": "QED in dispersing and absorbing media",
"url": "https://arxiv.org/abs/quant-ph/0006121"
},
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"id": "arXiv Dataset IDs",
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