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Journal of Physics Conference Series

Developments to improve the stability of optical lattice clocks

S. Bize, Bess Fang, Yann Le Coq, Rodolphe Le Targat, Jérôme Lodewyck, Paul-Éric Pottie, H. Shang, Clara Zyskind

Published Nov 1, 2024• 1 citation
Publisher

Abstract

Abstract We present several developments aimed at improving the stability of optical lattice clocks. First, we present our developments of an optical lattice clock using neutral mercury. We mention recent advances made with the fermionic isotope 199Hg. We also mention our work aimed at using bosonic isotopes, which offer the possibility to circumvent the relatively short lifetime of the upper clock state in 199Hg. Second, we present our work on a non-destructive detection in a Sr optical lattice clock. We describe developments that brought the detection scheme from the classical non-destructive regime to the quantum non-destructive regime. Our detection scheme is practical and has the capability to the used beyond proving the principle. Finally, we present our work on laser stabilization using spectral hole burning in a Eu3+:Y2SiO5 crystal at cryogenic temperatures. We describe our development of low noise interrogation based on digital IQ modulation and detection that can probe multiple spectral features simultaneously, as well as several investigations towards fluctuating environmental factors. These advances, individually or combined for example with spectral purity transfer with combs and composite clock approaches, shall bring significant progress in clock stability and accuracy.

DOI
10.1088/1742-6596/2889/1/012048

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Abstract We present several developments aimed at improving the stability of optical lattice clocks. First, we present our developments of an optical lattice clock using neutral mercury. We mention recent advances made with the fermionic isotope 199Hg. We also mention our work aimed at using bosonic isotopes, which offer the possibility to circumvent the relatively short lifetime of the upper clock state in 199Hg. Second, we present our work on a non-destructive detection in a Sr optical lattice clock. We describe developments that brought the detection scheme from the classical non-destructive regime to the quantum non-destructive regime. Our detection scheme is practical and has the capability to the used beyond proving the principle. Finally, we present our work on laser stabilization using spectral hole burning in a Eu3+:Y2SiO5 crystal at cryogenic temperatures. We describe our development of low noise interrogation based on digital IQ modulation and detection that can probe multiple spectral features simultaneously, as well as several investigations towards fluctuating environmental factors. These advances, individually or combined for example with spectral purity transfer with combs and composite clock approaches, shall bring significant progress in clock stability and accuracy.
Optical lattice clocks with uncertainty and instability in the 10􀀀17-range and below have so far been demonstrated exclusively using fermions. Here, we demonstrate a bosonic optical lattice clock with 3 10􀀀18 instability and 2:0 10􀀀17 accuracy, both values improving on previous work by a factor 30. This was enabled by probing the clock transition with an ultra-long interrogation time of 4 s, using the long coherence time provided by a cryogenic silicon resonator, by careful stabilization of relevant operating parameters, and by operating at low atom density. This work demonstrates that bosonic clocks, in combination with highly coherent interrogation lasers, are suitable for highaccuracy applications with particular requirements, such as high reliability, transportability, operation in space, or suitability for particular fundamental physics topics. As an example, we determine the 88Sr { 87Sr isotope shift with 12 mHz uncertainty.
This thesis presents the latest achievements regarding the Sr optical lattice clock experiment at LNE-SYRTE, Observatoire de Paris. After having described the general principles for optical lattice clocks and the operation of the clock in question, the emphasis is put on the features that have been added to the experiment since 2007. The most important new elements are an ultra-stable reference cavity for the clock laser, the development of a non-destructive detection technique, and the construction of a second Sr lattice clock. The ultra-stable cavity is constructed from a ULE spacer and fused silica mirrors and has shown a thermal noise floor at 6.5E-16, placing it among the best in the world. The non-destructive detection is effectuated by a phase measurement of a weak probe beam that traverses the atoms placed in one arm of a Mach-Zender interferometer. The non-destructive aspect enables a recycling of the atoms from cycle to cycle which consequently increases the duty cycle, allowing for an increase of the stability of the clock. With these new tools the frequency stability is expected to be 2.2E-16/tau^(1/2) for an optimized sequence. The most recent comparisons between the two Sr clocks reach an accuracy level of 1E-16 after about 1000 s, and this way we have been able to characterize lattice related frequency shifts with an unprecedented accuracy. The measurements ensure a control of lattice related effects at the 1E-18 level even for trap depths as large as 50 Er.
The optical lattice clock develops fast in recent years, and its stability and accuracy has already surpassed the microwave fountain clock and the optical clock based on ion trap. The mercury (Hg) lattice clock has the possibility to make a breakthrough in the limitation of blackbody radiation shift for strontium (Sr) and ytterbium (Yb) lattice clock, and reach the uncertainty in E-18 level at room temperature. For the purposes of laser cooling of mercury atoms and interrogating of the clock transition from1S0state to3P0state, a high-power cooling laser at 253.7 nm and an ultra-stable Hz-level linewidth laser at 265.6 nm are required, respectively. Here, we report our development of these laser sources for a neutral Hg lattice clock.
In this paper, we review several aspects of the frequency stability of optical lattice clocks. We describe a new ultra-stable cavity design with reduced thermal noise and record frequency stability (below 10 −15 ), as well as a non-destructive detection scheme for measuring the clock transition probability. Given the experimental parameters we measured, we simulate different sequence strategies for optimizing the stability. Finally, we report on the development of a second optical lattice clock and simulate several comparison strategies. In particular, we show by a numerical method that a stability as low as 2 × 10 −16 τ −1/2 can be reached with optical lattice clocks, and we show how to demonstrate this stability with a double clock system.
In this poster, we will describe the key developments made in our setup to switch from a clock using fermionic isotopes of mercury to bosonic isotopes of mercury. Initially, we must establish the magnetic field necessary for the quenching method, i.e. to induce the bosonic clock transition. We have introduced a technique to create a strong magnetic field during the probing time. Furthermore, we have enhanced our control over the magnetic environment. Secondly, as we aim to observe the clock transition, we have had to enhance the capabilities of our ultrastable light generation. This enhancement was crucial to provide a tuning range sufficient to reach the frequency of any of the five stable bosonic isotopes while maintaining spectral quality. Thirdly, we calculated the theoretical Rabi pulsation for a clock utilizing bosonic isotopes, determining that we must increase the the probe laser power to achieve a sufficiently large Rabi pulsation. This adjustment is necessary to facilitate the initial exploration of the transition.