case, the exact periodicity of oscillations is clearly observed. In detail, while upside plots of figures \[quant.ph-sq\](a) and \[quant.ph-sq\](b) are nearly the same, entering simultaneously the effects of nonlinearities in downside plot of figure \[quant.ph-sq\](b) results in an increase in the amount of the negativity of entropy squeezing in contrast with the downside plot of figure \[quant.ph-sq\](a). Figure \[quant.ph-sq\](c) shows the influences of the deformed Kerr medium and detuning parameters. It is observed that, in the presence of the detuning parameters with $f_{i}(n_{i}) = 1$ (the upside plot of figure \[quant.ph-sq\](c)), deformed Kerr medium generally increases the depth and time interval of the negativity of the phase entropic squeezing parameter. This is while in the intensity-dependent coupling regime, the appearance of entropy squeezing at all times is observed with fast oscillatory behavior (the downside one).\
So, it may be inferred that, intensity-dependent coupling has a direct role in exhibiting the entropy squeezing in phase component at all times and strengthen this particular nonclassicality feature (see the downside plots). Also, deformed Kerr nonlinearity can improve this nonclassicality sign and detuning may enrich the negativity of this criterion (especially in the constant coupling). In addition, fast oscillatory behaviour of this quantity can 