Hyperfine Averaging by Dynamic Decoupling in a Multi-Ion Lutetium Clock.

Area of Science:

• Atomic, Molecular, and Optical Physics
• Quantum Information Science
• Precision Measurement

Background:

• Ramsey spectroscopy is a key technique for high-precision atomic clocks.
• Hyperfine structure can limit clock stability and accuracy.
• Multi-ion clocks offer advantages but face challenges like inhomogeneous broadening.

Purpose of the Study:

• To propose and demonstrate a novel scheme for hyperfine averaging during Ramsey interrogation.
• To reduce environmental sensitivity and inhomogeneous broadening in atomic clocks.
• To enable precise measurement of atomic properties like quadrupole moments.

Main Methods:

• Experimental demonstration of a hyperfine averaging scheme.
• Utilizing correlation spectroscopy on the ^{1}S_{0}↔^{3}D_{1} clock transition.
• Employing a three-ion Lutetium-175 (Lu^{+}) clock system.
• Compatibility with autobalanced Ramsey spectroscopy for error mitigation.

Main Results:

• Successful implementation of hyperfine averaging during Ramsey interrogation.
• Demonstrated reduction in clock sensitivity to environmental factors.
• Achieved reduction in inhomogeneous broadening in the multi-ion clock.
• Provided a precise measurement of the ^{3}D_{1} quadrupole moment of Lu⁺: Θ(^{3}D_{1})=0.634(9)ea_{0}^{2}.

Conclusions:

• The developed hyperfine averaging scheme enhances atomic clock performance.
• The method is robust and compatible with advanced spectroscopic techniques.
• This work contributes to the development of more stable and accurate quantum clocks and provides a new method for measuring atomic properties.