Coherent population trapping states of a system interacting with quantized fields and the production of the photon statistics matched fields.
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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 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. 1993 The American Physical Society.