Evaluation of the systematic shifts of a ${}^{40}{\text{Ca}}^{+}-{}^{27}{\text{Al}}^{+}$ optical clock

Abstract

Quantum-logic-based ${}^{27}{\text{Al}}^{+}$ optical clock has been demonstrated in several schemes as there are different choices of the auxiliary ion species. In this paper, we present the first detailed evaluation of the systematic shift and the total uncertainty of an ${}^{27}{\text{Al}}^{+}$ optical clock sympathetically cooled by a ${}^{40}{\text{Ca}}^{+}$ ion. The total systematic uncertainty of the ${}^{40}{\text{Ca}}^{+}-{}^{27}{\text{Al}}^{+}$ quantum logic clock has been estimated to be $7.9\times 10^{-18}$, which was mainly limited by the uncertainty of the quadratic Zeeman shift. By comparing the frequency of two counter-propagating clock beams on the same ion, we measured the frequency stability to be $3.7\times 10^{-14}/\sqrt{\tau }$.

8 pages, 3 figures, 3 tables

References in corpus (5)

• An ${}^{27}$Al${}^{+}$ quantum-logic clock with systematic uncertainty below $10^{-18}$
• Precision Metrology Meets Cosmology: Improved Constraints on Ultralight Dark Matter from Atom-Cavity Frequency Comparisons
• Towards a Transportable Aluminium Ion Quantum Logic Optical Clock
• On a definition of the SI second with a set of optical clock transitions
• Measurements of ${}^{27}$Al${}^{+}$ and ${}^{25}$Mg${}^{+}$ magnetic constants for improved ion clock accuracy

Cited by in corpus (5)

• High-Stability Single-Ion Clock with $5.5\times 10^{-19}$ Systematic Uncertainty
• Absolute frequency measurement of the 87Sr optical lattice clock at NTSC using International Atomic Time
• Phase-stabilized UV light at 267 nm through twofold second harmonic generation
• Scalable quantum logic spectroscopy
• Deterministic preparation of a dual-species two-ion crystal