Coherent population trapping states of a system interacting with quantized fields and the production of the photon statistics matched fields

Abstract

I calculate the coherent population trapping states of a three-level system interacting with two quantized fields. I show that such trapping states have novel properties. For example, I show that the trapping states for a Λ system involve the production of radiation fields with matched photon statistics. I discuss a method for producing these trapping states. For a ladder system, the trapping states even lead to the nonclassical character of the radiation fields.