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

Abstract

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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References in corpus (4)

• Entanglement of Orbital Angular Momentum States of Photons
• Management of the Angular Momentum of Light: Preparation of Photons in Multidimensional Vector States of Angular
• Rotational Effects of Twisted Light on Atoms Beyond the Paraxial Approximation
• Entanglement of internal and external angular momenta of a single atom

Cited by in corpus (5)

• Angular Momentum Transfer in Interaction of Laguerre-Gaussian Beams with Atoms and Molecules
• Chiral specific electron vortex beam spectroscopy
• Mapping of focused Laguerre-Gauss beams: The interplay between spin and orbital angular momentum and its dependence on detector characteristics
• Examining resonant inelastic spontaneous scattering of classical Laguerre-Gauss beams from molecules
• Transfer of orbital angular momentum superposition from asymmetric Laguerre-Gaussian beam to Bose-Einstein Condensate