Electronic and center of mass transitions driven by Laguerre-Gaussian beams

Details Electronic and center of mass transitions driven by Laguerre-Gaussian beams Electronic and center of mass transitions driven by Laguerre-Gaussian beams

2004-12-14

arxiv.org/abs/quant-ph/0412110v1

J. Opt. B: Quantum Semiclass Opt. 7, 87-92 (2005)

Physics

Quantum Physics

requires IOP class file

Scientific paper

10.1088/1464-4266/7/4/001

We derive the interaction Hamiltonian of a Laguerre-Gaussian beam with a simple atomic system, under the assumption of a small spread of the center of mass wave function in comparison with the waist of the Laguerre-Gaussian beam. The center of mass motion of the atomic system is taken into account. Using the properties of regular spherical harmonics the internal and center of mass coordinates are separated without making any multipolar expansion. Then the selection rules of the internal and of the center of mass motion transitions follow immediately. The influence of the winding number of the Laguerre-Gaussian beams on the selection rules and transition probability of the center of mass motion is discussed.

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