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Optics Letters

Atomic frequency standard based on direct frequency comb spectroscopy

Seth E. Erickson, Dylan P. Tooley, Kushan Weerasinghe, Xiushan Zhu, Arturo Chavez-Pirson, R. Jason Jones

Published Aug 8, 2024• 4 citations
Publisher

Abstract

We have developed a high performance atomic frequency standard based on Doppler-free direct frequency comb excitation of a two-photon transition in 87 Rb. We demonstrate equivalent performance compared to an identical system based on cw laser excitation of the clock transition. This approach greatly simplifies optical clock architecture and eliminates the need for cw lasers in many two-photon frequency standards. The clock transition linewidth and ac-Stark shift measured directly with the frequency comb are shown to be nearly identical to those obtained using a cw laser of equal average power. We directly count this reference via the frequency comb repetition rate, achieving instabilities of 1.9 × 10 −13 at 1 s averaging down to 7.8(38) × 10 −15 at 2600 s, currently limited by temperature dependent shifts.

DOI
10.1364/ol.531600

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We have developed a high performance atomic frequency standard based on Doppler-free direct frequency comb excitation of a two-photon transition in 87 Rb. We demonstrate equivalent performance compared to an identical system based on cw laser excitation of the clock transition. This approach greatly simplifies optical clock architecture and eliminates the need for cw lasers in many two-photon frequency standards. The clock transition linewidth and ac-Stark shift measured directly with the frequency comb are shown to be nearly identical to those obtained using a cw laser of equal average power. We directly count this reference via the frequency comb repetition rate, achieving instabilities of 1.9 × 10 −13 at 1 s averaging down to 7.8(38) × 10 −15 at 2600 s, currently limited by temperature dependent shifts.
We describe a high-performance, compact optical frequency standard based on a microfabricated Rb vapor cell and a low-noise, external cavity diode laser operating on the Rb two-photon transition at 778 nm. The optical standard achieves an instability of 1.8 × 10 − 13 τ − 1 / 2 for times less than 100 s and a flicker noise floor of 1 × 10 − 14 out to 6000 s. At long integration times, the instability is limited by variations in optical probe power and the ac Stark shift. The retrace was measured to 5.7 × 10 − 13 after 30 h of dormancy. Such a simple, yet high-performance optical standard could be suitable as an accurate realization of the meter or, if coupled with an optical frequency comb, as a compact atomic clock comparable to a hydrogen maser.
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We present the observation of the Rb two-photon spectrum directly excited by an Er:fiber laser comb in a hot atomic vapor system. The influences of the atomic velocity distribution on direct and sequential two-photon transitions are discussed respectively and a combination of corresponding spectral control techniques is developed to eliminate the Doppler broadening background. A direct frequency comb spectroscopy is obtained with high-resolution two-photon transition lines. These techniques would benefit spectroscopy measurement in hot atomic vapor systems, and pave the way for establishing a high-stability optical frequency comb in 1.5 $\ensuremath{\mu}$m optical communication bands based on the Rb two-photon transitions.
Optical wavelength standards, based on the optical transitions of atoms or molecules, provide ultra-high precision frequency references and are the core technology of next-generation optical clocks. Their stability far exceeds that of the microwave frequency range, laying the foundation for precision metrology and cutting-edge scientific research. The wavelength standard device based on the 5S1/2-5D3/2 hyperfine level two-photon transition of 87Rb atoms exhibits significant advantages such as no Doppler broadening, high signal-to-noise ratio (SNR), and potential for miniaturization and chip integration, showing important application potential in precision measurement fields like rubidium atomic clocks and optical communication. In this paper, an experimental setup for two-photon transition was constructed using an external cavity diode laser (ECDL), achieving stable locking of the 778 nm wavelength by modulating the laser current. The effects of the temperature and length of the atomic vapor cell on the blue fluorescence linewidth, SNR, and frequency stability were systematically studied, further optimizing the system. By using an atomic vapor cell designed at Brewster's angle, optical reflection loss was effectively reduced, compensating for the impact of shortened optical path on frequency stability in miniaturized atomic vapor cells. This provides new research directions and performance enhancement solutions for the miniaturization and chip integration of two-photon transition systems. In the improved system, a Brewster-angle glass vapor cell with a length of 30 mm was used and heated to 110°C, achieving a linewidth of 1.69 MHz full width at half maximum (FWHM) and a SNR of 20 dB. The system demonstrated a instability of 9.86×10-11 over a 1-second averaging time and a minimum instability of 5.79×10-11 over a 5.7-second averaging time. This achievement provides key technological support for the practical application of the next generation of miniaturized optical atomic clocks, with the potential for widespread use in portable metrology equipment and space science through integrated design and noise suppression optimization in the future.
Optical frequency standards, or lasers stabilized to atomic or molecular transitions, are widely used in length metrology and laser ranging, provide a backbone for optical communications and lie at the heart of next-generation optical atomic clocks. Here we demonstrate a compact, low-power optical frequency reference based on the Doppler-free, two-photon transition in rubidium-87 at 778 nm implemented on a micro-optics breadboard. Our optical reference achieves a fractional frequency instability of 2.9×10−12/ τ for averaging times τ less than 103 s, has a volume of ≈35 cm3 and operates on ≈450 mW of electrical power. The advanced optical integration presented here demonstrates a key step towards the development of compact optical clocks and the broad dissemination of SI-traceable wavelength references.
Two-photon vapor cell-based optical clocks are strong candidates for next-generation portable atomic standards, offering simplicity, compactness, and high performance. Their narrow clock transitions with counter-propagating beams enable first-order Doppler-free operation. However, systematic perturbations such as the AC Stark shift, temperature-induced shift, and drifts resulting from the laser system pose challenges cause instabilities to medium- to long-term performance. This paper provides a comprehensive overview of Rb two-photon vapor cell optical standards, focusing on the long-term performance-limiting effects and potential mitigation strategies, aiming for clock stabilities better than 1 × 10−15 over the averaging time of a day and beyond.