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Journal of Experimental and Theoretical Physics Letters

Preparation of an Ensemble of Thulium Atoms in Different Vibrational Levels in an Optical Lattice

K. O. Babichev, Daniil I. Provorchenko, D. Mishin, Dmitry O. Tregubov, Artem A. Golovizin, N. Kolachevsky

Published May 1, 2025• 1 citation
Publisher

Abstract

The deterministic excitation of thulium atoms from the ground vibrational state of the optical lattice potential to the first and second vibrational levels with efficiencies of 40 and 24%, respectively, has been demonstrated. The purity of the prepared vibrational states is at least 93 and 95% in the former and latter cases, respectively, and is limited by both the purity of the initial state and the non-resonant excitation of the clock transition carrier frequency. The obtained high efficiency and quality of the preparation of atoms in a given vibrational level make it possible to characterize and control the frequency shift of the clock transition due to the interaction of thulium atoms with the field of the optical lattice, which is necessary to achieve an uncertainty of 10–17 for the thulium optical clock.

DOI
10.1134/s0021364025606281

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The deterministic excitation of thulium atoms from the ground vibrational state of the optical lattice potential to the first and second vibrational levels with efficiencies of 40 and 24%, respectively, has been demonstrated. The purity of the prepared vibrational states is at least 93 and 95% in the former and latter cases, respectively, and is limited by both the purity of the initial state and the non-resonant excitation of the clock transition carrier frequency. The obtained high efficiency and quality of the preparation of atoms in a given vibrational level make it possible to characterize and control the frequency shift of the clock transition due to the interaction of thulium atoms with the field of the optical lattice, which is necessary to achieve an uncertainty of 10–17 for the thulium optical clock.
The method of laser cooling of atoms, first implemented in the early 1980s at the Institute of Spectroscopy of the Russian Academy of Sciences (ISAN), turned out to be an exceptionally powerful tool that provided revolutionary breakthroughs in such areas as quantum sensorics, the physics of Bose±Einstein and Fermi-condensates, quantum informatics, and many others.It was precisely due to the laser cooling method that atomic fountains Ð the most accurate microwave clocks Ð made their appearance, and impetus was lent to the area of optical frequency standards, which today have surpassed the relative error of 10 À18 .In this review, dedicated to the 55th anniversary of the founding of ISAN, we will present some modern methods and experimental results aimed at the development of optical clocks on thulium atoms.In addition to the review part, the paper demonstrates a new experimental protocol for the preparation of thulium atoms using sideband cooling of the spectrally narrow 506.2-nm transition.Ensembles of atoms in the initial states of clock transitions in the ground vibrational sublevel of the optical lattice have been attained.
Abstract The clock transition at a wavelength of 1.14 μm in thulium atoms in an optical lattice in the Lamb – Dick regime is studied. The capture of thulium atoms makes it possible to suppress completely both the transition broadening due to the first-order Doppler effect and the shift of the transition frequency caused by the recoil effect. The excitation spectra of sideband oscillation frequencies and Rabi oscillations of population between the clock transition levels upon resonance excitation are investigated.
Abstract This paper presents a detailed analysis of the effect of the optical lattice field on clock transition spectroscopy, as exemplified by thulium atoms. We consider the applicability of the sifting of atoms in an optical lattice by ramping down the power of the laser light that produces it. This method allows the number of filled vibrational sublevels to be reduced down to a single vibrational state, without changing the inner state of the atoms. The effectiveness of the method is illustrated by the example of the spectroscopy of a clock transition in thulium atoms in the resolved sideband regime.
Because of the low sensitivity of a thulium optical clock to black-body radiation and good accuracy and stability estimations, it is considered as a promising transportable optical clock. One of the leading systematic effects for Tm clock transition, i.e., the second-order Zeeman effect, can be canceled by probing two clock transitions between different hyperfine levels of ground and metastable states during clock operation. Herein, we demonstrate efficient optical pumping into the mF=0{m}_{F}=0mF​=0 state of both ground hyperfine levels using single-frequency radiation at 418.8 nm. We prepared the atoms in both target states simultaneously and excited two clock transitions alternately. The resulting population of mF=0{m}_{F}=0mF​=0 states of ground hyperfine levels was 36% and 3.8% of the initial number of atoms with less than 4% and 0.4% on nonzero magnetic sublevels, respectively. We performed numerical simulations of the optical pumping process, which is able to explain experimental results well.
The experimental comparison of two thulium optical lattice clocks in a time interval of up to one hour has been carried out. The synchronous comparison of a clock transition in two independent atomic ensembles using a single ultrastable laser has allowed us to eliminate fluctuations of the laser frequency from the measured frequency difference and to reach a relative measurement error of 10–16 after 500-s averaging, which corresponds to a relative instability of 2×10−15/τ2 \times {{10}^{{ - 15}}}{\text{/}}\sqrt \tau 2×10−15/τ​ . The successful demonstration of the long-term operation of two systems using the synchronous comparison of clock transitions opens the possibility of studying systematic shifts in thulium optical clocks with an uncertainty of 10–17.
Clock transition at 1.14μm1.14 \mu \mathrm{m}1.14μm in neutral thulium is a promising candidate for compact and robust transportable optical clock due to its extremely low sensitivity to external electric and magnetic fields. Cold Tm atoms are now used in optical lattice clocks, quantum simulators and for the study of Bose-Einstein condensation and cold collision physics. In this work, we discuss experimentally measured absolute frequencies of the two transitions at 410.6 nm and 530.7 nm, used for laser cooling of thulium atoms, transition at 418.8 nm used for optical pumping and clock transition at 1140 nm. Using accurate laser spectroscopy in an ensemble of cold thulium atoms, we measured frequencies of these transitions using an optical frequency comb, which was referenced to an active hydrogen maser. Transition frequencies were measured with an uncertainty at one tenth of their natural linewidth, which is sufficient for cooling and pumping of thulium atoms. The uncertainty of the clock transition frequency is 30 Hz, which was limited by the maser frequency calibration with GNSS. Our results can find application in existing experiments with cold thulium atoms and especially in new projects.