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EPJ Web of Conferences

Wavelet-analysis of the non-stationary signal of fluorescence of an ensemble of point scatterers

Sergey V. Bozhokin, Igor M. Sokolov

Published Jan 1, 2017• 1 citation
Publisher

Abstract

On the basis of quantum microscopic approach we calculate dynamics of fluorescence of a cold atomic ensemble confined to special atomic trap and excited by pulse radiation. Using continuous wavelet transform with adaptive Morlet wavelet we analyze spectral composition of the fluorescence and its modification with time after the exciting pulse is switched off. Dependence of the spectrum on direction of fluorescence and its polarization is also analyzed.

DOI
10.1051/epjconf/201716102007

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On the basis of quantum microscopic approach we calculate dynamics of fluorescence of a cold atomic ensemble confined to special atomic trap and excited by pulse radiation. Using continuous wavelet transform with adaptive Morlet wavelet we analyze spectral composition of the fluorescence and its modification with time after the exciting pulse is switched off. Dependence of the spectrum on direction of fluorescence and its polarization is also analyzed.
A consistent quantum approach is used to calculate the signal of fluorescence from a laser-excited cold atomic ensemble. The possibility of analyzing the spectral composition of this nonstationary signal is investigated. Application of wavelet transforms is shown to be a very efficient method that allows achieving a good spectral or temporal resolution, depending on specific problem. On the basis of this approach, the spectral composition of fluorescence and its dynamics after excitation are studied. The spectral properties of the secondary emission of the ensemble are compared for different directions and polarizations.
A consistent quantum-mechanical approach is used to calculate a fluorescence signal from a cold atomic ensemble excited by pulsed radiation and exposed to a DC electric or magnetic field. The short time Fourier transform is used to analyze the spectral composition of this signal and to investigate its changes over time after the end of excitation. It is demonstrated that external fields substantially change both the shape of the spectrum and its dynamics. The discovered effects are explained as being the result of action of these fields on the spectrum of states of the two-atomic quasi-molecular clusters that randomly form in disordered ensembles.
Abstract The fluorescence of cold atoms, cooled to ultra-low temperatures and excited by pulsed laser radiation, is calculated. The fluorescence of cold atoms is calculated based on the solution of the non-steady-state Schrödinger equation for a combined system of atoms and an electromagnetic field. A universal function is proposed in the work showing the deviation of the fluorescence decay at the end of the pulse from the single-exponential model. To analyze the dynamics of fluorescence, a Radon–Nikodym method has been used based on the studies on the eigenvalues of a matrix constructed on the basis of the fluorescence signal. It is shown that a correlation exists between the parameter of distribution asymmetry inherent in signal matrix eigenvalues, and the temporal law of fluorescence decay. As an alternative method of fluorescence analysis, a multistage relaxation model is used, caused by collective multiatomic effects. The values of characteristic amplitude and relaxation time both at short times (“superradiance”) and at long times (“subradiance”) have been found.
We report the investigation of the influence of atomic motion on the fluorescence dynamics of a dilute atomic ensemble driven by resonance pulse radiation. We show that even for sub-Doppler temperatures, the motion of atoms can significantly affect the nature of both superradiation and subradiation. We also demonstrate that, in the case of an ensemble of moving scatterers, it is possible to observe the nonmonotonic time dependence of the fluorescence rate. This leads to the fact that, in certain time intervals, increasing temperature causes not an decrease but an increase of the fluorescence intensity in the cone of coherent scattering. We analyze the role of the frequency diffusion of secondary radiation as a result of multiple light scattering in an optically dense medium. It is shown that spectrum broadening is the main factor which determines radiation trapping upon resonant excitation. Along with broadening, we found a shift and distortion of the shape of the spectrum over time. At later time, after the trapping stage, the dynamics is dominated by close pairs of atoms (dimers). The dynamics of the excited states of these dimers has been studied in detail. It is shown that the change in the lifetime of the given adiabatic term of the diatomic quasimolecule induced by the change in the interatomic distance as well as possible nonadiabatic transitions between sub- and superradiant states caused by atomic motion can lead not to the anticipated weakening of subradiation effect, but to its enhancement.