Adiabatic approximation for a two-level atom in a light beam
Amandine Aftalion, Francis Nier (2013)
Annales de la faculté des sciences de Toulouse Mathématiques
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Following the recent experimental realization of synthetic gauge potentials, Jean Dalibard addressed the question whether the adiabatic ansatz could be mathematically justified for a model of an atom in 2 internal states, shone by a quasi resonant laser beam. In this paper, we derive rigorously the asymptotic model guessed by the physicists, and show that this asymptotic analysis contains the information about the presence of vortices. Surprisingly, the main difficulties do not come...