中国物理B ›› 2004, Vol. 13 ›› Issue (6): 865-870.doi: 10.1088/1009-1963/13/6/014

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Realization of adiabatic population transfer in a three-level system by using LR Hermitian invariants theory

赵华, 高迎芳, 梁九卿   

  1. Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China
  • 收稿日期:2003-08-18 修回日期:2004-01-05 出版日期:2004-07-05 发布日期:2005-07-05
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10075032).

Realization of adiabatic population transfer in a three-level system by using LR Hermitian invariants theory

Zhao Hua (赵华), Gao Ying-Fang (高迎芳), Liang Jiu-Qing (梁九卿)   

  1. Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China
  • Received:2003-08-18 Revised:2004-01-05 Online:2004-07-05 Published:2005-07-05
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10075032).

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摘要： 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.

关键词: adiabatic population transfer, Lewis－Riesenfeld Hermitian invariant, $\pi$-pulse method, stimulated Raman adiabatic passage methods

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.

Key words: adiabatic population transfer, Lewis－Riesenfeld Hermitian invariant, π-pulse method, stimulated Raman adiabatic passage methods

中图分类号:  (Mechanical effects of light on atoms, molecules, and ions)

  • 37.10.Vz
02.10.Yn (Matrix theory) 03.65.Fd (Algebraic methods)