Abstract
A review of the linear canonical transformations and its unitary representation is presented and its importance in the mathematical generation of a special two photon coherent state of light is demonstrated. The dynamical behaviour of the entanglement of the matter and field sectors of an initial composite system under the action of two effective model Hamiltonians is shown. The quantumness and delocalization properties of the corresponding electromagnetic field sectors are established. Finally for the two-photon process interacting with a two-level system, the violation of the Cauchy-Schwarz inequality is exhibited.
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