Abstract 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 $\pi$-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 $\pi$-pulse method according to the exact time-evolution of state vector.
Received: 18 August 2003
Revised: 05 January 2004
Accepted manuscript online:
PACS:
37.10.Vz
(Mechanical effects of light on atoms, molecules, and ions)
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10075032).
Cite this article:
Zhao Hua (赵华), Gao Ying-Fang (高迎芳), Liang Jiu-Qing (梁九卿) Realization of adiabatic population transfer in a three-level system by using LR Hermitian invariants theory 2004 Chinese Physics 13 865
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