NDLI: Collective operator method for the resonance fluorescence in photonic band gap

Content Provider	IEEE Xplore Digital Library
Author	Mogilevtsev, D. Kilin, S.
Copyright Year	2003
Description	Author affiliation: Inst. of Phys., National Acad. of Sci. of Belarus, Minsk, Belarus (Mogilevtsev, D.; Kilin, S.)
Abstract	Summary form only given. In this work we suggest and discuss the method of collective atomic-field operators for the resonance fluorescence of two-level atom with the transition frequency near the band gap edge. The method is based on the formal diagonalization of the interaction Hamiltonian in the absence of driving. In the absence of driving the method also allows to obtain the exact solution for the case when there are two photons in the field. We show that due to closeness to the gap edge the collective operators are weakly coupled. This allows to develop an effective approximation applicable when the problem is strongly non-Markovian, i.e. when in the absence of driving the effect of "freezing" of upper-level atomic population takes place. Then the dynamics of all but one collective operators becomes similar to the bosonic one. Only the dynamics of this one collective operators is nonlinear. We show that in this case a perturbation theory could be developed using as a small parameter a respective coupling strength between this one collective operator and others. In fact, the method of collective operators gives possibility to develop a perturbation theory "tailored" especially for the essentially non-Markovian problem. We derive a condition of applicability for this theory. Essentially, it is the condition of weak excitation of all collective atom-field "modes" corresponding to the collective operators with dynamics similar to the bosonic one. For the moderate intensities of the driving field even an approximation of independent collective operators gives good results. In the limit of weak driving field a simple analytic approximation is developed. As comparison shows, this approximation allows to describe a basic features of atomic population dynamics even for the cases when the driving field could not any more be considered weak.
File Size	63774
File Format	PDF
ISBN	0780377338
DOI	10.1109/EQEC.2003.1314226
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2003-06-22
Publisher Place	Germany
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Resonance Fluorescence Photonic band gap Atom optics Nonlinear optics Physics Frequency Spectroscopy
Content Type	Text
Resource Type	Article

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