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Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B

Optical pumping as relaxation of radiofrequency transitions

ADRIANO DI GIACOMO, F. Feo

Published Dec 1, 1975• 3 citations
Publisher
DOI
10.1007/bf02725696

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Radiofrequency multiple-quantum transitions in the presence of an optical pumping cycle

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The theoretical behaviour of radiofrequency transitions with Delta m>or=1 in an atomic vapour under the simultaneous action of a longitudinal optical pumping, a static field introducing small decoupling between I and J and a relaxation mechanism is investigated. It is shown that the information contained in the eigenvalues and eigenvectors of the Hamiltonian of the atom 'dressed' by the RF field can be used to simplify significantly the equations of the time evolution of the atomic density matrix. Although an analytical solution is obtained only in a few simple cases a numerical solution is possible for any RF polarization. Several previous treatments are shown to be limiting cases of the general equations presented here. From the analysis of the recent experimental results of Arimondo and Corbalan (1974) on the ground state of 87 Rb, it turns out that the observable quantities are strongly dependent on all the parameters describing the simultaneous action of the pumping cycle, relaxation and the RF interaction. Thus accurate descriptions of the pumping cycle and the relaxation mechanism are required for any comparison with theory of experimental results for the widths and shifts of multiple-quantum transitions.

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Investigation of Optical Pumping in Cesium Atoms with a Radio-Frequency Field, Using Liouville Equation

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Optical pumping is a technique for engineering atomic-sublevel population of desired atoms. We investigate the population evolution of Cesium atoms by employing Liouville equation. For this purpose, we apply a circularly polarized light at a frequency suitable for electronic transition from ground states to excited states and calculate the relaxation rate, repopulation, and population evolution of the Cesium Zeeman sublevels. For engineering the sublevel population after optical pumping, we employ a radiofrequency (RF) field and consider the effect of RF field in Liouville equation. With this approach, we are able to prepare desired distribution of the population in the atomic sublevels with high efficiency, which can be employed in different optical experiments.

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Investigation of optical pumping in cesium atoms with circularly polarized light and radio-frequency field: a theoretical approach

Hossein Davoodi Yeganeh, Zahra Shaterzadeh‐Yazdi

Cs) atoms by applying circularly polarized light at an optimal frequency for electronic transitions from ground to excited states. To enhance control over sublevel populations following optical pumping, we incorporate a radiofrequency (RF) field. This integrated approach enables us to achieve a tailored distribution of atomic sublevel populations with high efficiency. Utilizing the Lindblad master equation, we provide a comprehensive framework for analyzing these dynamics, examining relaxation rates, repopulation processes, and the evolution of cesium Zeeman sublevels. Our findings underscore the effectiveness of the Lindblad master equation in accounting for external field effects and environmental interactions, significantly improving the accuracy and generalizability of optical pumping models. This method holds substantial promise for various applications in optical experiments, including magnetometry and quantum computing, paving the way for future advancements in these fields.

Physical Chemistry Chemical Physics•Jan 1, 2025•0 citations
The theoretical behaviour of radiofrequency transitions with Delta m>or=1 in an atomic vapour under the simultaneous action of a longitudinal optical pumping, a static field introducing small decoupling between I and J and a relaxation mechanism is investigated. It is shown that the information contained in the eigenvalues and eigenvectors of the Hamiltonian of the atom 'dressed' by the RF field can be used to simplify significantly the equations of the time evolution of the atomic density matrix. Although an analytical solution is obtained only in a few simple cases a numerical solution is possible for any RF polarization. Several previous treatments are shown to be limiting cases of the general equations presented here. From the analysis of the recent experimental results of Arimondo and Corbalan (1974) on the ground state of 87 Rb, it turns out that the observable quantities are strongly dependent on all the parameters describing the simultaneous action of the pumping cycle, relaxation and the RF interaction. Thus accurate descriptions of the pumping cycle and the relaxation mechanism are required for any comparison with theory of experimental results for the widths and shifts of multiple-quantum transitions.
Optical pumping is a technique for engineering atomic-sublevel population of desired atoms. We investigate the population evolution of Cesium atoms by employing Liouville equation. For this purpose, we apply a circularly polarized light at a frequency suitable for electronic transition from ground states to excited states and calculate the relaxation rate, repopulation, and population evolution of the Cesium Zeeman sublevels. For engineering the sublevel population after optical pumping, we employ a radiofrequency (RF) field and consider the effect of RF field in Liouville equation. With this approach, we are able to prepare desired distribution of the population in the atomic sublevels with high efficiency, which can be employed in different optical experiments.
Cs) atoms by applying circularly polarized light at an optimal frequency for electronic transitions from ground to excited states. To enhance control over sublevel populations following optical pumping, we incorporate a radiofrequency (RF) field. This integrated approach enables us to achieve a tailored distribution of atomic sublevel populations with high efficiency. Utilizing the Lindblad master equation, we provide a comprehensive framework for analyzing these dynamics, examining relaxation rates, repopulation processes, and the evolution of cesium Zeeman sublevels. Our findings underscore the effectiveness of the Lindblad master equation in accounting for external field effects and environmental interactions, significantly improving the accuracy and generalizability of optical pumping models. This method holds substantial promise for various applications in optical experiments, including magnetometry and quantum computing, paving the way for future advancements in these fields.