Rabi Spectroscopy and Excitation Inhomogeneity in a 1D Optical Lattice Clock
S. Blatt, J. W. Thomsen, G. K. Campbell, A. D. Ludlow, M. D. Swallows,, M. J. Martin, M. M. Boyd, and Jun Ye

TL;DR
This paper studies how atomic motion affects Rabi spectroscopy in a 1D optical lattice clock, providing models to analyze spectral features, excitation inhomogeneity, and collision effects for improved precision.
Contribution
It introduces a comprehensive model linking atomic motion to spectral features and excitation inhomogeneity in a 1D optical lattice clock.
Findings
Spectral components reveal transverse motion and temperature.
Models quantify trap-dependent excitation inhomogeneities.
Density shifts explained by dynamic mean field effects.
Abstract
We investigate the influence of atomic motion on precision Rabi spectroscopy of ultracold fermionic atoms confined in a deep, one dimensional (1D) optical lattice. We analyze the spectral components of longitudinal sideband spectra and present a model to extract information about the transverse motion and sample temperature from their structure. Rabi spectroscopy of the clock transition itself is also influenced by atomic motion in the weakly confined transverse directions of the optical lattice. By deriving Rabi flopping and Rabi lineshapes of the carrier transition, we obtain a model to quantify trap state dependent excitation inhomogeneities. The inhomogeneously excited ultracold fermions become distinguishable, which allows s-wave collisions. We derive a detailed model of this process and explain observed density shift data in terms of a dynamic mean field shift of the clock…
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