Abstract:The ionization of a model atom in a strong singlemode non-classical electromagnetic field is studied beyond the perturbation approach using the model of "one discrete level + continuum" for the atom. Explicit analytical expressions for the time-dependent probability of atomic ionization are obtained for different initial states of radiative field: Fock state, coherent wave packet, squeezed vacuum state. The results are compared to the ionization decay of discrete atomic level in a classical light field, and are analyzed for different mean number of radiative photons. The time-dependent distribution of the quantized field over photon number states is examined. The time-dependent bound atomic probability calculated in the case of different initial field states (Fock, coherent, and squeezed vacuum states). The mean number of photons is equal to unity