Young's double slit experiment with excited atoms

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PaleMoon
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i would like to find the detailed calculation in the case of a two slits experiment with an excited atom.
i only found the formulas when it decays near the slits.
have you links?
thanks
 
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i have the details for electrons with a source of photons in the middle behind the slits and detectors near them. here the interaction is near the slits.
 
i come back to this paper.
is it possible in this example to assign a density matrix to the state of this unstable atom?
thanks