2011
DOI: 10.1007/s11232-011-0089-8
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Using BBGKY hierarchies to study the effect of the local field on the rate of radiative relaxation of quantum systems in a dielectric medium

Abstract: We consider a model of atomic radiators in a dielectric medium and its optical characteristics. In the framework of the microscopic approach and the Bogolyubov-Born-Green-Kirkwood-Yvon method, we obtain a chain of coupled equations for reduced density matrices and correlation operators of atomic particles and modes of a quantized field. We derive a closed system of equations describing the evolution of radiators in the model medium under the action of external radiation. We calculate the effective spontaneous … Show more

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Cited by 13 publications
(6 citation statements)
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“…We demonstrate this approach for a polycrystalline film doped with terrylene molecules [2]. We also report a significant progress in the theory of light emission enhancement due to the local field effects [3].…”
mentioning
confidence: 85%
“…We demonstrate this approach for a polycrystalline film doped with terrylene molecules [2]. We also report a significant progress in the theory of light emission enhancement due to the local field effects [3].…”
mentioning
confidence: 85%
“…The fact that the local-field correction factor appears in the first power in the expression for the local-field-corrected spontaneous emission rate is typical for fully microscopic approaches [60]. For instance, another microscopic model, developed by Kuznetsov et al [61,62], leads to an expression for the spontaneous emission rate where factor L enters in the first power, similar to Eq. (31).…”
Section: Microscopic Theoriesmentioning
confidence: 99%
“…Besides resonant interatomic interaction the line shape of impurity centers is transformed due to interaction with the surrounding dielectric medium (see [10] - [20]). Even in the case of a transparent dielectric the internal fields of a medium cause spectral line shifts of the impurity atoms which can exceed the natural linewidth.…”
Section: Introductionmentioning
confidence: 99%