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Improved absolute clock stability by the joint interrogation of two atomic states

, , , and . (2021)cite arxiv:2104.14309Comment: 15 pages, 10 figures.

Abstract

Improving the clock stability is of fundamental importance for the development of quantum-enhanced metrology. One of the main limitations arises from the randomly-fluctuating local oscillator (LO) frequency, which introduces "phase slips" for long interrogation times and hence failure of the frequency-feedback loop. Here we propose a strategy to improve the stability of atomic clocks by interrogating two out-of-phase state sharing the same LO. While standard Ramsey interrogation can only determine phases unambiguously in the interval $-\pi/2,\pi/2$, the joint interrogation allows for an extension to $-\pi,\pi$, resulting in a relaxed restriction of the Ramsey time and improvement of absolute clock stability. Theoretical predictions are supported by ab-initio numerical simulation for white and correlated LO noise. While our basic protocol uses uncorrelated atoms, we have further extended it to include spin-squeezing and further improving the scaling of clock stability with the number of atoms. Our protocol can be readily tested in current state-of-the-art experiments.

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[2104.14309] Improved absolute clock stability by the joint interrogation of two atomic states

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