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Generalized deformed Kerr states and their physical properties

In this paper, two distinct classes of generalized deformed Kerr states are introduced by considering the standard and deformed Kerr mediums, when the initial field state that enters the Kerr medium has been prepared in the well-known nonlinear coherent state. Indeed, the conversion of the third-order susceptibility of the (standard) Kerr medium to its deformed counterpart via an intensity-dependent function K(n) is performed. Interestingly, the obtained generalized states are still of f-deformed type, with a special form of the nonlinearity function. Some physical realizations of the proposed approach are presented. Finally, the nonclassicality features, the quantum phase properties and the autocorrelation function of the introduced states are studied numerically.