On the minimizers of the Ginzburg-Landau energy for high kappa : the axially symmetric case
Vortex dans les condensats de Bose Einstein
Reduced energy functionals for a three-dimensional fast rotating Bose Einstein condensates
Adiabatic approximation for a two-level atom in a light beam
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 from the nonlinear...
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