Abstract:
The problem of scattering of a multiphoton electromagnetic field of arbitrary statistics by resonant atoms has been described by methods of the theory of integrable quantum systems. Using a full set of exact eigenstates of the integrable model “quantum field + two-level atoms”, we have derived an exact expression for the multiparticle wave function of scattered photons. The general formalism has been illustrated in the particular case where the incident field is in a stationary coherent state. The results for the spectrum and the second order correlation function of the scattered field for this case coincide with the known ones, but they have been derived without using the Lindblad's approach, the quantum regression theorem, and all that. The developed formalism is applicable to an arbitrary (including non-classical – not coherent) state of incident photons.
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