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Journal of Physics B Atomic Molecular and Optical Physics

Absolute hyperfine energy levels and isotope shift of Rb 5S–6S two-photon transition

Seth Orson, Carson McLaughlin, M. D. Lindsay, R. J. Knize

Published Sep 8, 2021• 4 citations
Publisher

Abstract

Abstract Using a Rb cell and a wavemeter, with a Doppler-free two-photon transition near 993 nm, we have measured the four hyperfine components (two isotopes, Δ F = 0) of the 5S–6S transition, finding the absolute energies of those transitions to a spectral resolution of 0.002 cm −1 = 60 MHz. We find the (87 minus 85) isotope shift of the 5S–6S transition to be +94(12) MHz. Using our single frequency cw laser with focused intensity up to 10 4 W cm −2 at the cell, we find no AC Stark or light shift of the lines at 6 MHz spectral resolution. We find no density shift of the lines at 6 MHz spectral resolution, for a range of Rb atom densities from 3 × 10 11 to 5 × 10 13 atoms/cm 3 .

DOI
10.1088/1361-6455/ac2812

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Abstract Using a Rb cell and a wavemeter, with a Doppler-free two-photon transition near 993 nm, we have measured the four hyperfine components (two isotopes, Δ F = 0) of the 5S–6S transition, finding the absolute energies of those transitions to a spectral resolution of 0.002 cm −1 = 60 MHz. We find the (87 minus 85) isotope shift of the 5S–6S transition to be +94(12) MHz. Using our single frequency cw laser with focused intensity up to 10 4 W cm −2 at the cell, we find no AC Stark or light shift of the lines at 6 MHz spectral resolution. We find no density shift of the lines at 6 MHz spectral resolution, for a range of Rb atom densities from 3 × 10 11 to 5 × 10 13 atoms/cm 3 .
Frequency-modulation spectroscopy was employed successfully to measure the Doppler-free absorption and dispersion signals originating from several two-photon transitions in (85)Rb and (87)Rb. The two-photon cross section of the hyperfine transition 5S(1/2) (F = 2) ? 5D(5/2) (F = 4) in (87)Rb was determined to be sigma((2)) asymptotically equal to 4 x 10(-20) cm(4)/W. The transition isotope shift (TIS) of the transition 5S(1/2) ? 5D(5/2) between (87)Rb and (85)Rb was found to be Deltanu(TIS) = +166 +/- 2 MHz.
Hyperfine splittings for the 39 K and 41 K isotopes and the isotope shift for the 4s 2 S 1/2 → 6s 2 S 1/2 two-photon transition have been measured using sub-Doppler fluorescence spectroscopy. We have accurately measured the transition isotope shift, and a discrepancy has been found in the earlier reported transition isotope shift value, which has been corrected. The resulting hyperfine splitting values of 418.2 (5) and 230.4 (1.3) MHz for the 39 K and 41 K isotopes respectively are in agreement with previous measurements. The precision of the absolute frequency values for the two-photon transition has been improved by about two orders. Our measured magnetic dipole constants for the upper 6 2 S 1/2 state for the 39 K and the 41 K isotopes are consistent with the earlier measured values.
Accessing the 5S1/2→5D5/2\rm 5S_{1/2} \rightarrow 5D_{5/2}5S1/2​→5D5/2​ two-photon transition in Rb using a diode laser system
We report observation of the 5S1/2→5D5/2\rm 5S_{1/2} \rightarrow 5D_{5/2}5S1/2​→5D5/2​ two-photon transition in Rb vapor at 778 nm, using an external cavity diode laser system and a heated vapor cell. The spectra in the two isotopes show well-resolved hyperfine transitions. The peaks are Doppler free, and have a Lorentzian lineshape with a typical linewidth of 2.2 MHz. This linewidth is larger than the natural linewidth of 300 kHz, but is still 5--10 times smaller than the linewidth for single-photon transitions in the D2_22​ line. Since the absolute frequency of this transition is measured with 8 kHz precision, it can form a better secondary reference in the optical regime compared to the D2_22​ line.
Doppler-free two-photon absorption spectroscopy was applied to study highly-excited D states of Rb atoms. Using a cw dye laser as an excitation source, transitions from the ground 5S state to nd 2D states (n=11-32) were observed, the ionization energy of the highest state being only 117cm-1. These D doublets are not inverted. The fine structure splittings of these states do not vary as (neff) -3, nor as n-3. The isotope shift of the 85Rb, 87Rb ground states is found to be 160±12MHz. No pressure broadening was observed for these transitions within the instrumental resolution of 15 MHz.
Abstract A cell with a submicron thickness was used to measure the broadening and shift of the D1 and D2 lines of Rb atoms by neon. The resolution of hypefine components is achieved by a combination of two techniques. First, the Rb vapor column thickness in the direction of propagation of the laser radiation was chosen equal to half of its wavelength λ under conditions of resonance with the atomic transition frequency. For rubidium atoms λ/2 ~ 400 nm. At a nanocell thickness L ~ λ/2, in the transmission spectrum A(ν), the spectral lines of atomic transitions are narrowed due to the exclusion of Doppler broadening. Second, further narrowing of the detected signals was achieved by the double differentiation of the transmission spectrum, A''(ν). The transmission spectra of pure rubidium vapor and rubidium vapor with the addition of neon have been measured at different pressures. The measured values of the shift coefficients of the D1 and D2 lines of rubidium in the presence of Ne were –1.1 ± 0.2 MHz/Torr and –2.1 ± 0.2 MHz/Torr, respectively. The broadening coefficients of the D1 and D2 lines coincide and are equal to 10 ± 1 MHz/Torr. Due to its high spectral resolution, this technique allows separate measurements for each individual transition.