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arXiv:2505.02219

Single-frequency inverted Doppler-free resonance as a platform for chip-scale optical clock

Eugene A. Tsygankov, Dmitry S. Chuchelov, Maria I. Vaskovskaya, Vitali V. Vassiliev, Sergei A. Zibrov, Vladimir L Velichansky

Published May 4, 2025• 0 citations
arXivHTMLPDF

Abstract

We report on the possibility to obtain a high-quality inverted Doppler-free resonance in D1 line of alkali-metal atoms in the single-frequency regime. The counter-propagating optical fields with linear and mutually orthogonal polarizations and the transition Fg=I+1/2 --> Fe=I-1/2 are proposed to the use. We establish the best possible nuclear spin value and the corresponding atomic isotope for this regime. Our experiment demonstrates that the resonance contrast-to-width ratio in the single-frequency regime is practically the same as in the dual-frequency regime, which simplifies the optical module to be used in compact optical clocks. The achieved short-term frequency stability is 3*10^(-13) at 1 s, which is comparable to results that can be obtained with the dual-frequency technique.

DOI
10.48550/arxiv.2505.02219

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We report on the possibility to obtain a high-quality inverted Doppler-free resonance in D1 line of alkali-metal atoms in the single-frequency regime. The counter-propagating optical fields with linear and mutually orthogonal polarizations and the transition Fg=I+1/2 --> Fe=I-1/2 are proposed to the use. We establish the best possible nuclear spin value and the corresponding atomic isotope for this regime. Our experiment demonstrates that the resonance contrast-to-width ratio in the single-frequency regime is practically the same as in the dual-frequency regime, which simplifies the optical module to be used in compact optical clocks. The achieved short-term frequency stability is 3*10^(-13) at 1 s, which is comparable to results that can be obtained with the dual-frequency technique.
We investigate the dual-frequency Doppler-free resonance in the D1 line of alkali-metal atoms for any accessible value of the nuclear spin I. The consideration is performed using the symmetries of the dipole operator and the basis, where the quantization axis is directed along the polarization of the one of optical waves. We show that there is the absence of the optical pumping in the scheme with parallel polarizations for the center of the crossover, resulting in its smallest width. Secondly, the growth in the absorption for the center of the peak with Fe=I-1/2 and the decrease of its width with the two-photon detuning in the case of~orthogonal polarizations is explained. Particular attention is paid to the special case of I=3/2, where this effect is the most pronounced. The experiment with 87Rb, 85Rb, and 133Cs atoms is in agreement with the analysis.
We report on Doppler-free laser spectroscopy in a Cs vapor cell using a dual-frequency laser system tuned on the Cs D1 line. Using counter-propagating beams with crossed linear polarizations, an original sign reversal of the usual saturated absorption dip and large increase in Doppler-free atomic absorption is observed. This phenomenon is explained by coherent population trapping (CPT) effects. The impact of laser intensity and light polarization on absorption profiles is reported in both single-frequency and dual-frequency regimes. In the latter, frequency stabilization of two diode lasers was performed, yielding a beat note fractional frequency stability at the level of 3×10−12 at 1 s averaging time. These performances are about an order of magnitude better than those obtained using a conventional single-frequency saturated absorption scheme.
We demonstrated a compact 780 nm rubidium optical clock, which includes an optical frequency standard and an optical frequency comb, with an optical volume of 11.6 liters. Unlike the 778 nm rubidium atomic clocks based on two-photon transition, here, the laser frequency is stabilized to the Rb D2 transition, using modulation transfer spectroscopy. This approach effectively eliminates Doppler background and provides a high signal to noise ratio and high sensitivity. A nearly 300 MHz microwave signal, whose phase exactly tracks that of the optical frequency standard, is generated via the optical frequency comb, yielding a frequency instability of 1.91 E-13 @1 s and 5.29 E-14 @1000 s in the electronic domain. To the best of our knowledge, this is the most precise frequency stabilization result for the first-excited-state transition of alkali metal atoms to date and represents the first optical clock based on this transition. These results offer a promising approach for the development of portable optical clocks.
Abstract Locking laser frequencies to Doppler-free spectra produced by the interaction of light with alkali atoms in a vapor cell is a promising approach for realizing compact atomic optical frequency reference. In this work, we employ counter-propagating monochromatic laser beams with a polarization angle of 45° to interact with 87 Rb atoms in a 3 mm cubic vapor cell, inducing coherent resonance. By detecting the laser polarization rotation, we obtain a Doppler free spectral line, which is used as a reference for laser frequency locking, thus realizing an optical reference. We build two nominally identical systems and measure their beatnote, yielding a fractional frequency stability of 5.3×10 -13 at 1 s. This study demonstrates that the proposed scheme is a competitive approach for realizing high performance compact atomic optical reference.
Modulation transfer spectroscopy (MTS) provides a high-resolution, Doppler-free method for laser frequency stabilization, offering excellent signal-to-noise ratio and robustness, particularly suited for compact thermal atomic clocks. Extending this approach, dual-optical-transition MTS (DOT-MTS) enables the simultaneous stabilization of two optical transitions within a single atomic ensemble, paving the way for multi-wavelength frequency references in integrated systems. Despite its potential, DOT-MTS remains relatively unexplored. In this work, we demonstrate DOT-MTS in a ladder-type configuration using87Rb atoms. Both optical-optical double resonance (OODR) and double-resonance optical pumping (DROP) signals are clearly observed. Through systematic optimization of experimental parameters, the system achieves a self-evaluated short-term frequency stability at the 1E-13 level. These results demonstrate the feasibility of DOT-MTS as a high-performance, compact frequency reference and open a promising avenue toward the development of portable optical clocks.
Sub-Doppler spectroscopy in alkali-metal vapor cells using two counterpropagating dual-frequency laser beams allows the detection of high-contrast sign-reversed natural-linewidth sub-Doppler resonances. Previously, a qualitative theory based on a simplified \ensuremath{\Lambda}-scheme model has been reported to explain underlying physics of this phenomenon. In this paper, an extended theoretical model of dual-frequency sub-Doppler spectroscopy (DFSDS) for the Cs D1{D}_{1}D1​ line is reported. Taking into account the real atomic energy structure, main relaxation processes, and various nonlinear effects, this model describes quantitatively the respective contributions of involved physical processes and predicts main properties (height and linewidth) of the sub-Doppler resonances. Experimental tests are performed with a Cs vapor microfabricated cell and results are found to be in correct agreement with theoretical predictions. Spatial oscillations of the sub-Doppler resonance amplitude with translation of the reflection mirror are highlighted. A beat note between two laser systems, including one stabilized with DFSDS on a Cs vapor microcell, yields a fractional frequency stability of $2\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}12}\phantom{\rule{0.16em}{0ex}}{\ensuremath{\tau}}^{\ensuremath{-}1/2}$ until 10-s averaging time. These results demonstrate that DFSDS could be an interesting approach for the development of a high-performance microcell-based optical frequency reference, with applications in various compact quantum devices.