Transition probablities in a simple J=1/2 → J=3/2 transition
To see the relation between polarization and light shift, we
look at the transition probabilities (Clebsch-Gordon coefficients squared)
in a simple J=1/2 → J=3/2 transition (Figure 3).
The ground state has two sublevels (labelled
and g1/2 , in which m=-1/2 and m=1/2, respectively).
There are three possible transitions out of each sublevel: Δm = +1,0,-1
corresponding to absorption of a σ+, linear, or σ- polarized
photon. The transitions out of a given sublevel have differing Clebsch-Gordon
coefficients and thus the light shift that the level experiences depends
on the polarization of the local light field.
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