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The light shift caused by an optical dipole force trap on a single Rb atom was recently studied by Shih and Chapman [Phys. Rev. A 87, 063408 (2013)] using a dipole-matrix-element-based approach. A separate study by Neuzner et al. [Phys. Rev. A 92, 053842 (2015)] considered the same system using a polarizability-based approach. We find that the results of these two studies do not agree, which we ascribe to an error in the theoretical part of Shih and Chapman’s paper. We correct this error, offer an alternative formulation for the energy-level shift using the matrix-element-based approach, and find good agreement between our predictions and those obtained with the polarizability-based method. Furthermore, our predictions are in better agreement with Shih and Chapman’s experimental results in comparison to their predictions. In contrast to the polarizability-based method, our formulation can be easily extended to different trapping wavelengths and atomic species.

Comment on “Nondestructive light-shift measurements of single atoms in optical dipole traps”