The interaction of a two-level atom with an external electromagnetic field is examined in the framework of quantum electrodynamics, without any assumption about Markoffian behavior or stationarity. It is found that spontaneous emission in the vacuum and the rate of fluorescence in an external field do not depend on quantum properties of the electromagnetic field, whereas the correlation functions do.

Physical Review LettersJun 16, 197546 citations

Spontaneous Emission with Induced Transitions Taken into Account

D. V. Skobelʹt︠s︡yn

Nonlinear OpticsJan 1, 19700 citations

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B

Non-Markoffian effects in the spontaneous emission of a two-level system

Patrick Carrazana, G. Vetri

Published Feb 1, 1980• 5 citations

Publisher

DOI: 10.1007/bf02739153

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In a previous investigation, a general theory for spontaneous emission from a system of

N

identical atoms or molecules was developed. This theory was based on the master equation recently derived in another paper. In that paper, the master equation relating to spontaneous emission from a system of harmonic oscillators was also derived. In the present investigation, the normally ordered correlation functions for the oscillator system are calculated and these are then used to calculate the radiation-field correlation functions in the far zone. These correlation functions are compared for two different modes of excitation, viz., (i) when each of the oscillators is excited initially to a Fock state, and (ii) when each of the oscillators is excited to some coherent state. It is found that the even-order (

2n

) correlation functions for the second mode of excitation (superradiant excitation) are of order

{N}^{2n}

higher than those for the first mode of excitation. It is also shown that the photoelectron counting distribution for the superradiant excitation is Poissonian. Finally, the non-Markoffian effects in the spontaneous emission are studied in detail and their connection with exact results is described.