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Springer eBooks

Saturation law and the resonance fluorescence spectrum of a forced two-level atom described by modified optical Bloch equations

Gregory I. Surdutovich, Alexandre V. Ghiner

Published Jan 1, 2003• 1 citation
Publisher
DOI
10.1007/978-1-4419-8907-9_175

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We theoretically calculate the resonance fluorescence spectrum from a two-level atom which is embedded in a photonic bandgap crystal and is resonantly driven by a classical pump light. Non-Markovian noises caused by the non-uniform distribution of photon density states near the photonic bandgap are taken into account by a new approach which linearizes the optical Bloch equations by using the Liouville operator expansion. These linearized equations can be solved directly in the Fourier domain to obtain the correlation functions of the atomic operators and then the fluorescence spectrum from the atom. We find that if the atomic energy level is far from the bandgap, fluorescence spectra with Mollow triplets are observed. When the atomic energy level is near the bandgap, the relative magnitude and the number of the fluorescence peaks are found to be varied according to the wavelength offset.
A beam of two-level atoms or ions excited by the resonant laser radiation orthogonal to the beam is observed from the third orthogonal direction. The well known resonance fluorescence three-peaked spectrum is deformed when the atoms or ions forming the beam oscillate at the Rabi frequency in the direction of the laser radiation wavevector, and the characteristic feature appears on the spectrum. The calculation based on the Bloch equations is presented and possible applications of the effect are discussed.
Although the resonance fluorescence spectrum of coherent light scattering from a two-level atom has been discussed in many papers, the effects of longitudinal, transverse relaxation and optical pumping have not yet been considered simultaneously in the motion equations. By solving the optical Bloch equations including the longitudinal relaxation time T 1 , transverse relaxation time T 2 and optical pumping parameter Δ 0 , in the case T 2 /T 1 <<1, we obtain the spectrum with dip in the central peak besides the familiar spectrum of three peaks. In addition, we find that the parameter Δ 0 and detuning Δω have influence on the symmetry, height and width of the spectrum of the three peaks.