Transition cancellations of 87Rb and 85Rb atoms in a magnetic field
| Autor: | Aram Papoyan, Artur Aleksanyan, E. A. Gazazyan, Claude Leroy, Rodolphe Momier |
|---|---|
| Přispěvatelé: | Institute for Physical Research (IPR), National Academy of Sciences of the Republic of Armenia [Yerevan] (NAS RA), Laboratoire Interdisciplinaire Carnot de Bourgogne [Dijon] (LICB), Université de Bourgogne (UB)-Université de Technologie de Belfort-Montbeliard (UTBM)-Centre National de la Recherche Scientifique (CNRS), Yerevan State University |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
[PHYS]Physics [physics] Statistical and Nonlinear Physics Quantum number 01 natural sciences Atomic and Molecular Physics and Optics Magnetic field 010309 optics symbols.namesake Excited state 0103 physical sciences symbols Atomic physics Hamiltonian (quantum mechanics) Spectroscopy Hyperfine structure Eigenvalues and eigenvectors ComputingMilieux_MISCELLANEOUS Physical quantity |
| Zdroj: | Journal of the Optical Society of America B Journal of the Optical Society of America B, Optical Society of America, 2020, 37 (11), pp.3504. ⟨10.1364/josab.403862⟩ |
| ISSN: | 0740-3224 1520-8540 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|