Open AccessAn application of the spectral Radon–Nikodym approach to fluorescence dynamics study of cold atomic cloud ensemble
Author(s) -
S. V. Bozhokin,
Vladislav Gennadievich Malyshkin
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1236/1/012046
Subject(s) - eigenvalues and eigenvectors , relaxation (psychology) , density matrix , impulse (physics) , excitation , physics , excited state , matrix (chemical analysis) , field (mathematics) , atomic physics , statistical physics , quantum mechanics , chemistry , mathematics , quantum , psychology , social psychology , chromatography , pure mathematics
A fluorescence dynamics of a cold atomic cloud, laser–cooled to a very low temperature, optically excited by a short laser impulse is calculated by applying non–stationary Schrödinger equation to the system of atoms and electromagnetic field. The solution gives fluorescence time–relaxation dependence, with relaxation time distribution depending on the system itself and external electromagnetic field applied. The distribution of the relaxation rates changes, when an external electric field affecting the atomic ensemble is applied. To analyze the relaxation process a novel Radon–Nikodym approach is applied: the relaxation curve is not piece–wise interpolated, but instead is converted to a matrix, the eigenvalues of which provide relaxation rate distribution. In contrasts to the random matrix theory, where the weights, corresponding to an eigenvalue, are considered equal, in this work the weight, corresponding to an individual eigenvalue, is determined by the Lebesgue integral quadrature weights.