Center of mass transitions in the quadrupole interaction of atomic systems with Laguerre-Gaussian beams

In the frame of paraxial approximation, we consider the case of free atoms interacting with an Lagtierre-Gaussian beam. Using Power-Zienaii-Wooley scheme, we calculate the interaction Hamiltonian in the quadrupole approximation and including center of mass motion of the atomic system. The expression of the center of mass transition probability is derived in analytic form. The influence of the beam and atomic system parameters on the center of mass transition probability are discussed.

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