dorsal/arxiv
View SchemaInteraction of the quantized electromagnetic field with atoms in the presence of dispersing and absorbing dielectric bodies
| Authors | Stefan Scheel, Dirk-Gunnar Welsch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006025 |
| URL | https://arxiv.org/abs/quant-ph/0006025 |
| DOI | 10.1134/1.1412663 |
Abstract
A general theory of the interaction of the quantized electromagnetic field with atoms in the presence of dispersing and absorbing dielectric bodies of given Kramers--Kronig consistent permittivities is developed. It is based on a source-quantity representation of the electromagnetic field, in which the electromagnetic-field operators are expressed in terms of a continuous set of fundamental bosonic fields via the Green tensor of the classical problem. Introducing scalar and vector potentials, the formalism is extended in order to include in the theory the interaction of the quantized electromagnetic field with additional atoms. Both the minimal-coupling scheme and the multipolar-coupling scheme are considered. The theory replaces the standard concept of mode decomposition which fails for complex permittivities. It enables us to treat the effects of dispersion and absorption in a consistent way and to give a unified approach to the atom-field interaction, without any restriction to a particular interaction regime in a particular frequency range. All relevant information about the dielectric bodies such as form and intrinsic dispersion and absorption is contained in the Green tensor. The application of the theory to the spontaneous decay of an excited atom in the presence of dispersing and absorbing bodies is addressed.
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"abstract": "A general theory of the interaction of the quantized electromagnetic field\nwith atoms in the presence of dispersing and absorbing dielectric bodies of\ngiven Kramers--Kronig consistent permittivities is developed. It is based on a\nsource-quantity representation of the electromagnetic field, in which the\nelectromagnetic-field operators are expressed in terms of a continuous set of\nfundamental bosonic fields via the Green tensor of the classical problem.\nIntroducing scalar and vector potentials, the formalism is extended in order to\ninclude in the theory the interaction of the quantized electromagnetic field\nwith additional atoms. Both the minimal-coupling scheme and the\nmultipolar-coupling scheme are considered. The theory replaces the standard\nconcept of mode decomposition which fails for complex permittivities. It\nenables us to treat the effects of dispersion and absorption in a consistent\nway and to give a unified approach to the atom-field interaction, without any\nrestriction to a particular interaction regime in a particular frequency range.\nAll relevant information about the dielectric bodies such as form and intrinsic\ndispersion and absorption is contained in the Green tensor. The application of\nthe theory to the spontaneous decay of an excited atom in the presence of\ndispersing and absorbing bodies is addressed.",
"arxiv_id": "quant-ph/0006025",
"authors": [
"Stefan Scheel",
"Dirk-Gunnar Welsch"
],
"categories": [
"quant-ph"
],
"doi": "10.1134/1.1412663",
"title": "Interaction of the quantized electromagnetic field with atoms in the presence of dispersing and absorbing dielectric bodies",
"url": "https://arxiv.org/abs/quant-ph/0006025"
},
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