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In this work the interaction between an atom and non-classical light is considered in the strong-coupling regime and the atomic ionization is analyzed theoretically. the ionization rate of an atom is calculated for different types of the quantum field interacting with the atomic system: Fock states, coherent states and squeezed light states are used as the initial field condition. The analytical expressions for ionization rate in different multi-photon cannels are found. The influence of the coherent superposition of different Fock states in the initial field state on the atomic ionization is analyzed.