Adiabatic Transparency of Multilevel Atomic Media for Short   High-intensity Pulses
  We consider a medium of multilevel atomic systems interacting with radiation pulses. A relatively simple technique of analytic calculations is proposed, which allows revealing all necessary conditions (with sufficient conditions to be checked separately) imposed on the interaction parameters, for which the mean dipole moment of a multilevel atomic medium vanishes, i.e., the medium becomes transparent via adiabatic interaction. The proposed technique is based on the method of quasienergies and illustrated for three- and five-level atomic systems. The necessary conditions for the propagation length where the interaction adiabaticity is preserved in the medium are obtained. 
G. Grigoryan, V. Chaltykyan, E. Gazazyan, A. Hovhannisyan, O.Tikhova
quant-ph physics.atom-ph