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Modeling motional energy spectra and lattice light shifts in optical lattice clocks



Kyle Beloy, Will McGrew, Xiaogang Zhang, Daniele Nicolodi, Robert J. Fasano, Youssef Hassan, Roger Brown, Andrew Ludlow


We develop a model to describe the motional (i.e., external degree of freedom) energy spectra of atoms trapped in a one-dimensional optical lattice, taking into account both axial and radial confinement relative to the lattice axis. Our model respects the coupling between axial and radial degrees of freedom, as well as other anharmonicities inherent in the confining potential. We further demonstrate how our model can be used to characterize lattice light shifts in optical lattice clocks, including shifts due to higher multipolar (magnetic dipole and electric quadrupole) and higher order (hyperpolarizability) coupling to the lattice field. We compare results for our model with results from other lattice light shift models in the literature under similar conditions.
Physical Review A


light shifts, optical lattice clock, Stark effect


Beloy, K. , McGrew, W. , Zhang, X. , Nicolodi, D. , Fasano, R. , Hassan, Y. , Brown, R. and Ludlow, A. (2020), Modeling motional energy spectra and lattice light shifts in optical lattice clocks, Physical Review A (Accessed July 22, 2024)


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Created May 8, 2020, Updated April 27, 2023