A method for generating macroscopically distinguishable superposition
states via single atom dispersion was proposed by Savage et al. In tha
t model, the atomic linewidth was not considered. However, including t
he atomic linewidth, we get two contradictory conditions for the gener
ation of distinguishable superposition states. This shows that the ato
mic linewidth prevents the formation of macroscopically distinguishabl
e superposition states by the proposed method.