Abstract
•Estimates the quantum state of a two-level atom and coherent field under cavity damping effect.•The system is solved by dispersive approximation (DA) in the presence of Kerr medium and cavity damping parameters•Mandel parameter is used as a quantifier of the nonclassical properties for a radiation field.•Investigates of the dynamical behavior of the field entropy squeezing (FES) under Kerr like medium within dispersive approximation.•Explores the Relation between the FES and nonclassical properties with and without damping effect.
The quantum state of a two-level atom and coherent field in Kerr medium under cavity damping effect is evaluated. The field density matrix of the system is given based on the dispersive approximation. The dynamical properties of Mandel parameter as a quantifier of the nonclassical properties for a radiation field during the interaction time are studied. The position and momentum components of entropy squeezing under Kerr like medium within dispersive approximation are investigated. The effect of initial field state consideration, Kerr medium, Stark shift terms and parameter of cavity damping on the time evolution of different quantities are examined. The results show that the entropy squeezing and non-classical properties are very sensitive to the Kerr medium and initial state of the field. The proposed system resists the damping when the field initially in statistical mixture of coherent state that the coherent state itself.