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Журнал Экспериментальной и Теоретической Физики

OTsENKA VLIYaNIYa PRIBLIZhENIYa VRAShchAYuShchEYSYa VOLNY NA SPEKTRY POLYaRIZATsII DVUKhUROVNEVOY SISTEMY V POLIKhROMATIChESKOM POLE

A. G. Antipov, Svetlana Uvarova

Published Nov 6, 2024• 0 citations

Abstract

Polarization spectra of a two-level system in a polychromatic ﬁeld were obtained in two cases: using the rotating wave approximation and without using this approximation. The obtained spectra were compared using two indicators: the average deviation across the entire frequency range and the deviation at the transition frequency. Both indicators allow quantitative assessment of the distortion in polarization spectra introduced by the application of the rotating wave approximation. The dependencies of the above indicators on key model parameters were obtained – on the central frequency, detuning, and spectral width of the applied polychromatic ﬁeld. The obtained dependencies allow evaluating the applicability limits of the rotating wave approximation for a given level of acceptable distortions in the polarization spectrum.

DOI: 10.31857/s0044451024110014

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Abstract The impact of a polychromatic field on a two-level medium is considered in the limit of small amplitudes. In the indicated limit, we obtained asymptotic expansions of the polarization spectra of an arbitrary order of smallness. These polarization spectra were compared with the results of the numerical solution of the density matrix equation. Compared to numerical calculation methods, the asymptotic expansion offers an analytical estimation of the contribution of each individual component of a polychromatic field and a description of the intermode interaction. However, with an increase in the intensity of the driving field, the computational efficiency of the method decreases, since, to achieve the required accuracy, it is necessary to increase the order of the asymptotic expansion.

An analytic expression of the polarization induced by a polychromatic weak probe field in a two-level medium, driven by a strong polychromatic pumping field, is obtained. This expression allows one to obtain both the absorption and dispersion spectra at any frequency of a probe field. The numerically calculated graphs of the central-component probe-field absorption and dispersion spectra, depending on the pumping-field amplitude in the cases of the one-, two- three-, four-, and five-component pumping field, are presented. It is shown that when the probe-field detuning is close to the strong-field Rabi frequency, the absorption spectrum changes to the dispersionlike form, while the dispersion spectrum changes to the absorptionlike one.