Abstract
An atomic model is discussed that contains one structured continuum interacting with an electromagnetic field of quantum nature. It is assumed that the field is initially in a squeezed state. Three kinds of squeezed state are discussed: (1) the squeezed vacuum state, (2) the squeezed state with a strong coherent component, and (3) the Holstein–Primakoff SU(1, 1) coherent state. A derivation is given of a fully analytical formula for the probability of finding the system in the continuum in a long-time regime. This result is obtained by a nonperturbative method and hence is valid for arbitrary field strengths. The result is discussed for various values of the parameters describing the electromagnetic field and its interaction with the atomic model and exhibits a strong dependence of the probability on the type and the squeezing parameters of the squeezed state.
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