Complete population transfer in a degenerate three-state atom
Kh. Yu. Rakhimov, Kh. Kh. Shakov, James H. McGuire
We have found conditions required to achieve complete population transfer, via coherent population trapping, from an initial state to a designated final state at a designated time in a degenerate three-state atom, where transitions are caused by an external interaction. Complete population transfer from an initially occupied state one to a designated state two occurs under two conditions. First, there is a constraint on the ratios of the transition matrix elements of the external interaction. Second, there is a constraint on the action integral over the interaction, or ``area,'' corresponding to the phase shift induced by the external interaction. Both conditions may be expressed in terms of simple odd integers. Some specific examples are discussed.
arXiv:quant-ph/0306157•Physical Review A•Feb 19, 2004•3 citations