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Quantum Electronics

Analysis of the light shift in the hyper-Ramsey scheme of two-level atom interrogation in an optically dense medium

К. А. Баранцев, A.N. Litvinov

Published Sep 1, 2019• 6 citations
Publisher

Abstract

Abstract The properties of the Ramsey resonance and its sensitivity to the light shift of the atomic transition frequency are investigated in the case of the hyper-Ramsey interrogation in an optically dense medium of cold atoms. The shape of the interrogating pulses varies significantly due to the processes of absorption and dispersion in the atomic medium, which leads to a distortion of the Ramsey resonance and a periodic change in the central minimum to the maximum and vice versa. The dependence of the position of the central resonance on the light shift of the atomic transition is found with the attenuation of radiation in the medium taken into account. It is shown that in a certain section of the medium this dependence becomes N-shaped.

DOI
10.1070/qel16969

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Abstract The properties of the Ramsey resonance and its sensitivity to the light shift of the atomic transition frequency are investigated in the case of the hyper-Ramsey interrogation in an optically dense medium of cold atoms. The shape of the interrogating pulses varies significantly due to the processes of absorption and dispersion in the atomic medium, which leads to a distortion of the Ramsey resonance and a periodic change in the central minimum to the maximum and vice versa. The dependence of the position of the central resonance on the light shift of the atomic transition is found with the attenuation of radiation in the medium taken into account. It is shown that in a certain section of the medium this dependence becomes N-shaped.
Abstract The peculiarities of Ramsey resonance and its sensitivity to the light shift from an optically dense medium of cold atoms are investigated. Different composite pulse protocols for clock spectroscopy, including hyper-Ramsey, modified and generalised hyper-Ramsey schemes, are compared. Error signals change significantly due to the processes of absorption and dispersion in the atomic medium. The dependence of the position of the central fringe resonance with a residual uncompensated light shift of the atomic transition is studied with the attenuation of the radiation intensity in the medium taken into account. It is shown that using a combination of generalised hyper-Ramsey error signals allows one to suppress the sensitivity to the light shift for any length of the medium.
In this work, the peculiarities of Ramsey resonance and its sensitivity to the light shift from an optically dense medium of cold atoms are investigated. We considered different composite pulse protocols for clock spectroscopy such as hyper-Ramsey, modified and generalized hyper-Ramsey schemes. Shapes of resonances and error signals changes significantly due to the processes of absorption and dispersion in the atomic medium. The dependence of the position of the central fringe resonance with a residual uncompensated light shift of the atomic transition is theoretically studied when taking into account the attenuation of the radiation intensity in the medium. The change in pulses area of the hyper-Ramsey protocol allows us to suppress the sensitivity of the clock resonance position to the residual light shift for a certain length of the medium. It is shown that using a combination of generalized hyper- Ramsey error signals allows us to suppress the sensitivity to the light shift for any length of the medium. Also we analyzed the effect of spontaneous decay of high atomic state on the light shift sensitivity of the composite pulses schemes.
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.
In this work we investigate the methods of generalized Ramsey spectroscopy for high precision atomic clocks in the optically dense atomic ensembles. The dependence of the position of the central fringe resonance with a residual uncompensated light shift of the atomic transition is studied when taking into account the attenuation of the radiation intensity in the medium. Also we analyze the effect of spontaneous decay of high atomic state on the light shift sensitivity of the composite pulses schemes.
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.