,Realization of adiabatic population transfer in a three-level system by using LR Hermitian invarian

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We have studied the population transfer in a three-state system driven by laser beams in terms of the theory of Lewis-Riesenfeld Hermitian invariants for explicitly time-dependent Hamiltonian. The exact solutions obtained allow us to recover two existing schemes producing complete population transfer in the literature, i.e. the π-pulse and stimulated Raman adiabatic passage methods in our unified description. We present a strict formulation of adiabatic conditions and a more accurate expression of the π-pulse method according to the exact time-evolution of state vector.
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