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Quantum Electronics

Line shape of coherent population trapping resonance in the Λ-scheme under Ramsey-type interrogation in an optically dense medium

К. А. Баранцев, Е. Н. Попов, A N Litvinov

Published Jul 26, 2018• 14 citations
Publisher

Abstract

We report a study of the Ramsey technique for detecting coherent population trapping resonance in a cold rarified ensemble of atoms with the collective effects related to its finite optical thickness taken into account. It is found that with the growth of the optical thickness of the medium the Ramsey comb becomes shifted with its maxima ‘trimmed’. The possibility of producing a region of maximal atomic excitation near the exit from the medium is found.

DOI
10.1070/qel16668

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We report a study of the Ramsey technique for detecting coherent population trapping resonance in a cold rarified ensemble of atoms with the collective effects related to its finite optical thickness taken into account. It is found that with the growth of the optical thickness of the medium the Ramsey comb becomes shifted with its maxima ‘trimmed’. The possibility of producing a region of maximal atomic excitation near the exit from the medium is found.
This work is devoted to a theoretical investigation of the Ramsey method of detection of the coherent population trapping resonance in cold atomic clouds taking into account collective effects caused by finite optical depth of the considered clouds. The interaction of atoms with pulsed laser radiation is described in the formalism of density matrix by means of Maxwell-Bloch set of equations. The Ramsey signal of coherent population trapping resonance was calculated for the radiation passed through the medium and analyzed for different length of the atomic cloud. Also the population of excited level was calculated in dependence on the two-photon detuning and coordinate along the main optical axis. The light shift of sidebands and appearance of additional harmonics were discovered.
Abstract The effect of the hyperfine structure of an excited level on the shape of the coherent population trapping (CPT) resonance under Ramsey interrogation is investigated in media with different optical thicknesses. The shape of the CPT resonance is constructed for optically thin and dense media, and the results are compared. The dependence of the light shift on the optical density of a medium is analyzed. The parameters of the field phases are determined for which the light shift remains constant under fluctuations of the optical thickness of the medium.
Abstract A theory is developed for the effect of coherent population trapping (CPT) in ‘hot’ atoms under pulsed pumping in an optically dense medium with a buffer gas. The case is considered when the excited level is not degenerate. Based on an analysis of the shape of Ramsey resonances, we show that with increasing optical density of the medium, the dependence of the light shifts of the CPT resonance becomes more and more nontrivial. The dependence of the light shifts of the CPT resonance on the magnitude of the hyperfine splitting of the excited level, concentration of active atoms, temperature, and duration of the dark pause is constructed.