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Physical Review A

Infrared Stark spectroscopy of sodium Rydberg states

Theodore W. Ducas, Myron L. Zimmerman

Published Apr 1, 1977• 15 citations
Publisher

Abstract

We have performed infrared spectroscopy on sodium Rydberg levels in an atomic beam. A C${\mathrm{O}}_{2}$ laser was used to provide narrow linewidths and absolute frequency markers. New results have been obtained for the term energy and for the fine-structure splitting of the $17p$ level.

DOI
10.1103/physreva.15.1523

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We have performed infrared spectroscopy on sodium Rydberg levels in an atomic beam. A CO2{\mathrm{O}}_{2}O2​ laser was used to provide narrow linewidths and absolute frequency markers. New results have been obtained for the term energy and for the fine-structure splitting of the 17p17p17p level.
We have used two-photon absorption from counterpropagating laser beams of different frequencies to measure Stark shifts and splittings of the 62S6^{2}S62S, 72S7^{2}S72S, 82S8^{2}S82S, 52D5^{2}D52D, and 62D6^{2}D62D states in sodium. Beams from a fixed-frequency, single-mode Ar+{\mathrm{Ar}}^{+}Ar+ laser and a tunable, single-frequency cw dye laser were focussed into a coarse sodium atomic beam and the fluorescence was monitored. The collimation of the atomic beam reduced the residual Doppler width inherent in using two different frequencies. Using the two lasers allowed two-photon transitions to be observed at frequencies unattainable with the dye laser alone, and enhanced the transition rates due to the near resonance of the dye laser with the strong Na $3^{2}S\ensuremath{\rightarrow}3^{2}P$ transition. Our experimental results for the scalar and tensor polarizabilities, ${\ensuremath{\alpha}}_{0}$ and ${\ensuremath{\alpha}}_{2}$, agree with calculations in the Bates and Damgaard Coulomb approximation within 2% for ${\ensuremath{\alpha}}_{0}$ and 9% for ${\ensuremath{\alpha}}_{2}$. As a by-product the hyperfine-interaction constants aaa for the SSS states and the fine-structure intervals $\ensuremath{\delta}\ensuremath{\nu}=\frac{({E}_{\frac{3}{2}}\ensuremath{-}{E}_{\frac{5}{2}})}{h}$ for the DDD states were obtained.
The results of experimental and theoretical investigations of the fine structure of the spectrum of the microwave transition 37 P -37 S in sodium Rydberg atoms in a weak electric field are reported. New data are obtained on the experimental values of the scalar and tensor polarizabilities of the 37 P level. A numerical simulation of the Stark diagram, taking into account the influence of the anticrossings of the Rydberg levels, is performed, and the results are found to be in good agreement with experiment.
Review of experiments on microwave spectroscopy of sodium Rydberg atoms carried out during last several years by our group, is presented. Most of the experiments have been done for the first time with Rydberg atoms. These are: static and dynamics Stark spectroscopy, two-photon dynamic Stark effect, double Stark resonance, scattering of Rydberg atomic beam by strong resonant microwave radiation. Also an experiment on pure amplification without the inversion in two-level Rydberg micromaser is discussed.
We have studied the Stark effect for the bound Rydberg states of xenon (2{(}^{2}(2P3/2{\mathrm{P}}_{3/2}P3/2​ core) in the vicinity of n=17. These are the first detailed measurements of Rydberg-state Stark structure in a heavy rare-gas atom. The experiment was performed by one-photon laser spectroscopy from the metastable 6s'[(1/2)]0{[(1/2)]}_{0}[(1/2)]0​ state in an atomic beam. Laser polarization can be chosen to excite pure M=0 or \ensuremath{\Vert}M\ensuremath{\Vert}=1 levels. Stark maps are presented for electric fields from 0 to 2000 V/cm. The major low-field features are a prominent linear manifold for states with l\ensuremath{\ge}3 and an isolated group of states arising from mixing within the overlapping p and d terms. A simple model of the p,d complex, showing strong mixing at fields as low as 200 V/cm, is used to correlate observed states with the zero-field states. The spectra become exceedingly complex for fields greater than 1000 V/cm because of mixing within the extensive fine structure of xenon.
The Stark splitting of the second excited level of atomic hydrogen (with principal quantum number n=3n=3n=3) has been measured by pulsed laser spectroscopy in order to determine small electric fields by optical means. Doppler-free excitation with two counterpropagating laser beams at 205nm205\phantom{\rule{0.3em}{0ex}}\mathrm{nm}205nm allows us to measure the n=3n=3n=3 Stark spectra either by an optogalvanic signal after ionization by a third laser photon or by detection of the Balmer-$\ensuremath{\alpha}$ fluorescence photons emitted by the excited atoms. Three different cases of laser polarization have been investigated in order to evaluate the possibilities and limitations of this one-step laser excitation method for electric field determination, especially at field strengths below 200V∕cm200\phantom{\rule{0.3em}{0ex}}\mathrm{V}∕\mathrm{cm}200V∕cm. The method provides the best field sensitivity achieved with lower excited levels that can be reached directly by two-photon absorption from the ground state (in contrast to the more sensitive Rydberg levels). For this purpose, an advanced tunable pulsed uv laser with narrow bandwidth almost at the Fourier limit has been used. The high spectral resolution allowed us to deduce electric field strengths as small as 50V∕cm50\phantom{\rule{0.3em}{0ex}}\mathrm{V}∕\mathrm{cm}50V∕cm from the frequency shift between two selected isolated Stark components. As a main advantage, this simple analysis of the measured spectra does not rely on knowledge of the line intensities which may be strongly affected by the measuring conditions.