The collisional frequency shift of a trapped-ion optical clock

Abstract

Collisions with background gas can perturb the transition frequency of trapped ions in an optical atomic clock. We develop a non-perturbative framework based on a quantum channel description of the scattering process, and use it to derive a master equation which leads to a simple analytic expression for the collisional frequency shift. As a demonstration of our method, we calculate the frequency shift of the Sr${}^{+}$ optical atomic clock transition due to elastic collisions with helium.

References in corpus (4)

• Single-Ion Atomic Clock with $3\times 10^{-18}$ Systematic Uncertainty
• Analysis of thermal radiation in ion traps for optical frequency standards
• Monitoring approach to open quantum dynamics using scattering theory
• A Single-Ion Trap with Minimized Ion-Environment Interactions

Cited by in corpus (10)

• Highly charged ions: optical clocks and applications in fundamental physics
• Controlling systematic frequency uncertainties at the $10^{-19}$ level in linear Coulomb crystals
• Towards a Transportable Aluminium Ion Quantum Logic Optical Clock
• Closed-cycle, low-vibration 4 K cryostat for ion traps and other applications
• ${}^{171}$Yb${}^{+}$ optical clock with $2.2\times 10^{-18}$ systematic uncertainty and absolute frequency measurements
• Systematic uncertainty due to background-gas collisions in trapped-ion optical clocks
• Transcoherent states: Optical states for maximal generation of atomic coherence
• Improved estimate of the collisional frequency shift in Al${}^{+}$ optical clocks
• Interactions and charge transfer dynamics of an Al${}^{+}$ ion immersed in ultracold Rb and Sr atoms
• Ab initio studies of the ground and first excited states of the Sr-H${}_2$ and Yb-H${}_2$ complexes