Influence of multiphoton detunings from resonance on adiabatic processes in a five-level system

Gazazyan, E. A.; Grigoryan, G. G.

doi:10.1134/s1063776117030128

Cited by 4 publications

(1 citation statement)

References 25 publications

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“…Laser spectroscopy of atomic vapors of alkali metals (Na, K, Rb, Cs) is widely used in atomic physics and numerous emerging applications, including quantum information, optical metrology, laser and sensor technologies, etc. [1,2,3]. Interest in such single-electron atomic media is caused by the simplicity of energy levels and the presence of strong optical transitions in the visible and near infrared, for which narrow-linewidth cw lasers are widely available.…”

Section: Introductionmentioning

confidence: 99%

Transition cancellations of $^{87}$Rb and $^{85}$Rb atoms in a magnetic field setting new standards

Aleksanyan,

Momier,

Gazazyan

et al. 2020

Preprint

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We have analyzed the magnetic field dependences of intensities of all the optical transitions between magnetic sublevels of hyperfine levels, excited with σ + , π and σ − polarized light, for the D1 and D2 lines of 87 Rb and 85 Rb atoms. Depending on the type of transition and the quantum numbers of involved levels, the Hamiltonian matrices are of 1 × 1, 2 × 2, 3 × 3 or 4 × 4 dimension. As an example, analytical expressions are presented for the case of 2 × 2 dimension matrices for D1 line of both isotopes. Eigenvalues and eigenkets are given, and the expression for the transition intensity as a function of B has been determined. It is found that some π transitions of 87 Rb and 85 Rb get completely canceled for certain, extremely precise, values of B. No cancellation occurs for σ + or σ − transitions of D1 line. For matrices with size over 2 × 2, analytical formulas are heavy, and we have performed numerical calculations. All the B values cancelling σ + , π and σ − transitions of D1 and D2 lines of 87 Rb and 85 Rb are calculated, with an accuracy limited by the precision of the involved physical quantities. We believe our modeling can serve as a tool for determination of standardized values of magnetic field. The experimental implementation feasibility and its possible outcome are addressed. We believe the experimental realization will allow to increase precision of the physical quantities involved, in particular the upper state atomic levels energy.

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Section: Introductionmentioning

confidence: 99%

Transition cancellations of $^{87}$Rb and $^{85}$Rb atoms in a magnetic field setting new standards

Aleksanyan,

Momier,

Gazazyan

et al. 2020

Preprint

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Transition cancellations of ⁸⁷Rb and ⁸⁵Rb atoms in a magnetic field

et al. 2020

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We have analyzed the magnetic field dependencies of the intensities of all the optical transitions between magnetic sublevels of hyperfine levels, excited with σ + , π , and σ − polarized light, for the D 1 and D 2 lines of 87 R b and 85 R b atoms. Depending on the type of transition and the quantum numbers of the involved levels, the Hamiltonian matrices are of 1 × 1 , 2 × 2 , 3 × 3 , or 4 × 4 dimension. As an example, analytical expressions are presented for the case of 2 × 2 dimension matrices for the D 1 line of both isotopes. Eigenvalues and eigenkets are given, and the expression for the transition intensity as a function of B has been determined. It is found that some π transitions of 87 R b and 85 R b get completely canceled for certain, extremely precise, values of B . No cancellation occurs for σ + or σ − transitions of the D 1 line. For matrices with a size over 2 × 2 , analytical formulas are heavy, and we have performed numerical calculations. All the B values canceling σ + , π , and σ − transitions of the D 1 and D 2 lines of 87 R b and 85 R b are calculated, with an accuracy limited by the precision of the involved physical quantities. The experimental implementation feasibility and its possible outcome are addressed. We believe the experimental realization will allow an increase in the precision of the physical quantities involved, in particular the upper state atomic level energy.

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Four-Photon Adiabatic Excitation of Rydberg States

2018

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Influence of multiphoton detunings from resonance on adiabatic processes in a five-level system

Cited by 4 publications

References 25 publications

Transition cancellations of $^{87}$Rb and $^{85}$Rb atoms in a magnetic field setting new standards

Transition cancellations of $^{87}$Rb and $^{85}$Rb atoms in a magnetic field setting new standards

Transition cancellations of ⁸⁷Rb and ⁸⁵Rb atoms in a magnetic field

Four-Photon Adiabatic Excitation of Rydberg States

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Influence of multiphoton detunings from resonance on adiabatic processes in a five-level system

Cited by 4 publications

References 25 publications

Transition cancellations of $^{87}$Rb and $^{85}$Rb atoms in a magnetic field setting new standards

Transition cancellations of $^{87}$Rb and $^{85}$Rb atoms in a magnetic field setting new standards

Transition cancellations of 87Rb and 85Rb atoms in a magnetic field

Four-Photon Adiabatic Excitation of Rydberg States

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Product

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Transition cancellations of ⁸⁷Rb and ⁸⁵Rb atoms in a magnetic field