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Optics and Spectroscopy

Measurement of polarizabilities of 5D levels of rubidium in a magnetic trap

Stepan Snigirev, Artem A. Golovizin, Sergey Pyatchenkov, Dmitry O. Tregubov, Alexey V. Akimov, N. Kolachevsky, В. Н. Сорокин

Published Oct 1, 2015• 1 citation
Publisher

Abstract

Scalar and tensor polarizabilities of 5D 3/2 and 5D 5/2 levels of rubidium were measured in a cloud of cold atoms. The measurements were carried out by using the shift of spectral lines corresponding to 5P–5D transitions in a constant external electric field. The following values of polarizabilities were obtained: αS(5D 3/2) = 18 400 (75), αT(5D 3/2) = –750 (30), α(5D 5/2) = 18 600 (76), and αT(5D 5/2) = –1440 (60).

DOI
10.1134/s0030400x15100252

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Scalar and tensor polarizabilities of 5D 3/2 and 5D 5/2 levels of rubidium were measured in a cloud of cold atoms. The measurements were carried out by using the shift of spectral lines corresponding to 5P–5D transitions in a constant external electric field. The following values of polarizabilities were obtained: αS(5D 3/2) = 18 400 (75), αT(5D 3/2) = –750 (30), α(5D 5/2) = 18 600 (76), and αT(5D 5/2) = –1440 (60).
We report on accurate measurements of the scalar ${\ensuremath{\alpha}}_{S}$ and tensor ${\ensuremath{\alpha}}_{T}$ polarizabilities of the 5D5D5D fine structure levels 5D3/25{D}_{3/2}5D3/2​ and 5D5/25{D}_{5/2}5D5/2​ in Rb. The measured values (in atomic units) ${\ensuremath{\alpha}}_{S}({5D}_{3/2})=18\phantom{\rule{0.16em}{0ex}}400(75)$, ${\ensuremath{\alpha}}_{T}({5D}_{3/2})=\ensuremath{-}750(30)$, ${\ensuremath{\alpha}}_{S}({5D}_{5/2})=18\phantom{\rule{0.16em}{0ex}}600(76)$ and ${\ensuremath{\alpha}}_{T}({5D}_{5/2})=\ensuremath{-}1440(60)$ show reasonable correspondence to previously published theoretical predictions, but are more accurate. We implemented laser excitation of the 5D5D5D level in a laser-cooled cloud of optically polarized Rb-87 atoms placed in a constant electric field.
The Stark effect of the 5 s 2 S 1/2 –5 p 2 P 3/2 transition ( D 2 line) of Rb has been studied by high-resolution atomic-beam laser spectroscopy. The splittings of magnetic sublevels of 5 p 2 P 3/2 have been resolved, and the Stark shifts and splittings of the D 2 line have been measured at various electric fields. The scalar polarizability of the D 2 line and the tensor polarizability of the 5 p 2 P 3/2 level have been determined to be α s (5 p 2 P 3/2 ) - α s (5 s 2 S 1/2 ) = 136.95(89) kHz/(kV/cm) 2 and α t (5 p 2 P 3/2 ) = -40.91(38) kHz/(kV/cm) 2 , respectively, by considering the mixing between hyperfine structure levels of 5 p 2 P 3/2 . The precision of α t (5 p 2 P 3/2 ) has been improved by a factor of 2 compared with the previously reported values.
This paper reports on the results of experiments with cold rubidium Rydberg atoms in a magneto-optical trap. The specific feature of the experiments is the excitation of Rydberg atoms in a small volume within a cloud of cold atoms and the sorting of measured signals and spectra according to the number of detected Rydberg atoms. The effective lifetime of the 37 P Rydberg state and its polarizability in a weak electric field are measured. The results obtained are in good agreement with theoretical calculations. It is demonstrated that the localization of the excitation volume in the vicinity of the zero-magnetic-field point makes it possible to improve the spectral resolution and to obtain narrow microwave resonances in Rydberg atoms without switching off the quadrupole magnetic field of the trap. The dependence of the amplitude of dipole-dipole interaction resonances in Rydberg atoms on the number of atoms is measured. This dependence exhibits a linear behavior and agrees with the theory for a weak dipole-dipole interaction.
We employ doubly resonant two-photon excitation into the 74S74S74S Rydberg state to spectroscopically measure the dynamic scalar polarizability, ${\ensuremath{\alpha}}_{0}$, and tensor polarizability, ${\ensuremath{\alpha}}_{2}$, of rubidium 5P3/25{P}_{3/2}5P3/2​. A cavity-generated 1064-nm optical lattice allows us to reach intensities near $2\ifmmode\times\else\texttimes\fi{}{10}^{11}\phantom{\rule{0.28em}{0ex}}\mathrm{W}/{\mathrm{m}}^{2}$, where the atom field is larger than the hyperfine interaction, and magnetic sublevels are well resolved. In the evaluation of the data we use a self-referencing method that renders the polarizability measurement largely free from the intensity calibration of the laser light field. We obtain experimental values ${\ensuremath{\alpha}}_{0}=\ensuremath{-}1149(\ifmmode\pm\else\textpm\fi{}2.5%)$ and ${\ensuremath{\alpha}}_{2}=563(\ifmmode\pm\else\textpm\fi{}4.2%)$, in atomic units. Methods and results are supported by simulations. The results provide an experimental test of atomic-structure calculations used to determine systematic shifts in atomic clocks and to interpret fundamental-physics experiments.