Nonadiabatic effects of atomic motion inside a high Q optical cavity

We revisit the topic of atomic center of mass motion of a three level atom Raman coupled strongly to an external laser field and the quantum field of a high Q optical cavity. We focus on the motion related nonadiabatic effects of the atomic internal dynamics and provide a quantitative answer to the validity regime for the application of the motional insensitive dark state as recently suggested in Ref. [Phys. Rev. A {\bf 67}, 032305 (2003)].