dorsal/arxiv
View SchemaSpontaneous emission and level shifts in absorbing disordered dielectrics and dense atomic gases: A Green's function approach
| Authors | Michael Fleischhauer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9902076 |
| URL | https://arxiv.org/abs/quant-ph/9902076 |
| DOI | 10.1103/PhysRevA.60.2534 |
Abstract
Spontaneous emission and Lamb shift of atoms in absorbing dielectrics are discussed. A Green's-function approach is used based on the multipolar interaction Hamiltonian of a collection of atomic dipoles with the quantised radiation field. The rate of decay and level shifts are determined by the retarded Green's-function of the interacting electric displacement field, which is calculated from a Dyson equation describing multiple scattering. The positions of the atomic dipoles forming the dielectrics are assumed to be uncorrelated and a continuum approximation is used. The associated unphysical interactions between different atoms at the same location is eliminated by removing the point-interaction term from the free-space Green's-function (local field correction). For the case of an atom in a purely dispersive medium the spontaneous emission rate is altered by the well-known Lorentz local-field factor. In the presence of absorption a result different from previously suggested expressions is found and nearest-neighbour interactions are shown to be important.
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"abstract": "Spontaneous emission and Lamb shift of atoms in absorbing dielectrics are\ndiscussed. A Green\u0027s-function approach is used based on the multipolar\ninteraction Hamiltonian of a collection of atomic dipoles with the quantised\nradiation field. The rate of decay and level shifts are determined by the\nretarded Green\u0027s-function of the interacting electric displacement field, which\nis calculated from a Dyson equation describing multiple scattering. The\npositions of the atomic dipoles forming the dielectrics are assumed to be\nuncorrelated and a continuum approximation is used. The associated unphysical\ninteractions between different atoms at the same location is eliminated by\nremoving the point-interaction term from the free-space Green\u0027s-function (local\nfield correction). For the case of an atom in a purely dispersive medium the\nspontaneous emission rate is altered by the well-known Lorentz local-field\nfactor. In the presence of absorption a result different from previously\nsuggested expressions is found and nearest-neighbour interactions are shown to\nbe important.",
"arxiv_id": "quant-ph/9902076",
"authors": [
"Michael Fleischhauer"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.60.2534",
"title": "Spontaneous emission and level shifts in absorbing disordered dielectrics and dense atomic gases: A Green\u0027s function approach",
"url": "https://arxiv.org/abs/quant-ph/9902076"
},
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