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Physical Review A

Experimental and theoretical study of Stark patterns in Rb Rydberg levels

Eliane Luc-Koenig, Sylvain Liberman, Jacques Pinard

Published Aug 1, 1979• 20 citations
Publisher

Abstract

Stark patterns of high-lying excited states of rubidium (Rydberg states $n\ensuremath{\sim}48$) in electric fields from 0 to 20 V/cm have been studied both experimentally and theoretically. Recordings have been obtained with high-resolution laser techniques. Theoretical interpretation takes into account a great number of close-lying levels in the diagonalization process. In order to reproduce the positions as well as the intensities of the one-photon transitions from the ground state, it is necessary to use for $s$, $p$, and $d$ levels the wave functions calculated from a central potential specific to the Rb spectrum.

DOI
10.1103/physreva.20.519

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Physical Review A•Mar 1, 1991•8 citations
Stark patterns of high-lying excited states of rubidium (Rydberg states n\ensuremath∼48n\ensuremath{\sim}48n\ensuremath∼48) in electric fields from 0 to 20 V/cm have been studied both experimentally and theoretically. Recordings have been obtained with high-resolution laser techniques. Theoretical interpretation takes into account a great number of close-lying levels in the diagonalization process. In order to reproduce the positions as well as the intensities of the one-photon transitions from the ground state, it is necessary to use for sss, ppp, and ddd levels the wave functions calculated from a central potential specific to the Rb spectrum.
This paper summarizes a long series of experiments that have been done on Rydberg states of Rb. The basic experimental technique that has been used is atomic-beam laser spectroscopy which allows both low-resolution and high-resolution studies. Excitation of Rydberg states is provided by single-photon absorption from a suitably frequency-doubled rhodamine 6G6G6G tunable laser. Detection is done by field ionization and ion counting. These techniques have allowed us to study the critical ionizing field, which has been found to follow classical, hydrogenic behavior closely. Rydberg states of Rb have been observed from n=28n=28n=28 up to n>100n>100n>100. High-resolution spectroscopic studies have led to measurement of the fine structure for np\mathrm{np}np levels located between n=28n=28n=28 and n=60n=60n=60, as well as the isotope shift of the ground state, $\ensuremath{\delta}\ensuremath{\nu}=(172\ifmmode\pm\else\textpm\fi{}15)$ MHz. Anomalies in the intensity ratio of the doublet $5s\ensuremath{-}np$ transitions have been observed and interpreted as relativistic effects. Perturbations by weak and strong dc electric field are reported. In the case of weak electric fields it is possible to evaluate the polarizability. In the case of strong dc electric fields, new phenomena have been observed and analyzed. We also find experimental evidence of selective photoionization in the presence of an appropriate dc electric field, which could have some applications in laser isotope separation. Finally, we give the preliminary results of an experiment on the effect of a strong nonresonant electromagnetic field on high-lying Rydberg states.
We report on the measurement of Stark shifted energy levels of 87 Rb Rydberg atoms in static electric fields by means of electromagnetically induced transparency (EIT). Electric field strengths of up to 500 V cm −1 , ranging beyond the classical ionization threshold, were applied using electrodes inside a glass cell with rubidium vapour. Stark maps for principal quantum numbers n = 35 and n = 70 have been obtained with high signal-to-noise ratio for comparison with results from ab initio calculations following the method described in (Zimmerman et al 1979 Phys. Rev. A 20 2251 ), which was originally only verified for states around n = 15. We also calculate the dipole matrix elements between low-lying states and Stark shifted Rydberg states to give a theoretical estimate of the relative strength of the EIT signal. The present work significantly extends the experimental verification of this numerical method in the range of both high principal quantum numbers and high electric fields with an accuracy of up to 2 MHz.
We report on the observation and numerical calculation of ionization spectra of highly Stark-shifted Rydberg states of rubidium beyond the classical ionization threshold. In the numerical calculations, a complex absorbing potential (CAP) allows us to predict the energy levels and ionization rates of Rydberg states in this regime. Our approach of adjusting the CAP to the external electric field reduces the number of free parameters from one per resonance to a single one. Furthermore, we have measured the ionization spectra of magneto-optically trapped rubidium atoms which are excited to principal quantum numbers of 43 and 70 at various electric fields. The emerging ions are detected using an ion optics. We find good agreement between the numerically and experimentally obtained spectra.
We have measured the locations and widths of the avoided level crossings between (n+3)s states and n,k Stark states in Rydberg Rb atoms with principal quantum numbers n between 16 and 25. We use two-step laser excitation to excite (n+3)s states in the presence of an electric field and observe a change in the number of atoms driven to higher-lying states by blackbody radiation as the electric field is tuned through the avoided level crossings. We have measured both the positions and widths of the avoided crossings. \textcopyright{} 1996 The American Physical Society.
We present observations of Stark spectra of barium in highly excited Rydberg states in the energy region around n = 35. The one-photon excitation concerns the π transition. The observed Stark spectra at electric fields ranging from 0 to 60 V·cm −1 are well explained by the diagonalization of the Hamiltonian incorporating the core effects. From the Stark maps, the anti-crossings between energy levels are identified experimentally and theoretically. The time of flight spectra at the specified Stark states are recorded, where the deceleration and acceleration of barium atoms are observed. This is very consistent with the prediction derived from the Stark maps from the point of view of energy conservation.
Stark spectra of barium Rydberg states above the classical field-ionization limit have been recorded at high density of states employing high-resolution laser spectroscopy. The spectra, taken at a binding energy of about \ensuremath{\varepsilon}\ensuremath{\approxeq}-55 ${\mathrm{cm}}^{\mathrm{\ensuremath{-}}1}$ with respect to zero-field threshold and at electric-field strengths F\ensuremath{\approxeq}100 V/cm exhibit dramatic variations in line profiles with increasing external field strength. The WKB quantum-defect theory of the Stark effect of nonhydrogenic atoms was used to analyze the recorded spectra, and excellent agreement between measured and calculated line profiles was achieved. Core-induced coupling of closed and open hydrogenic Stark channels was found to contribute dominantly to the linewidth of the recorded Stark resonances. In addition, a reformulation of this theory by McNicholl, Ivri, and Bergeman (unpublished) in terms of a configuration-interaction model was employed to analyze a particular avoided crossing of several Stark components. In this way recorded line profiles were parametrized within a limited model to obtain resonance energies, linewidths, and Fano q parameters.