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

Published

May 8, 2020

Author(s)

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

Abstract

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.

Citation

Physical Review A

Pub Type

Journals

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Keywords

light shifts, optical lattice clock, Stark effect

Citation

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, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=929598 (Accessed October 14, 2025)