I am looking for a clear (and not too long) model of spontaneous emission, for an atom modeled by a two level system in a cavity where the field is multimode

I am looking for model bases on Hamiltonian interaction. Indeed, what I know for now is an open system effective evolution (a Lindblad master equation).

Things that I would like to really understand with this model for example are the fact that my atom can radiate in other frequencies than its bare frequency $\omega_0$.

  • $\begingroup$ Look up the Caldeira-Leggett model. $\endgroup$ – DanielSank Mar 27 at 17:21
  • $\begingroup$ Did you see the Jaynes-Cummings model already? $\endgroup$ – Thomas Fritsch Mar 27 at 17:23
  • $\begingroup$ @ThomasFritsch yes I know the Jaynes-Cummings model ! But only for a monomode field (maybe you are thinking about generalisations ?) $\endgroup$ – StarBucK Mar 27 at 17:25
  • $\begingroup$ Ah sorry. I missed your "multimode". $\endgroup$ – Thomas Fritsch Mar 27 at 17:32
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    $\begingroup$ The keyword to search for here is Wigner-Weisskopf (or Weisskopf-Wigner). $\endgroup$ – Mark Mitchison Mar 28 at 9:47

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