depicted in figure \[csi\], one can deduce that intensity-dependent coupling (the downside plots) plays an effective role on appearing the negativity of CSI, as the detuning. Also, deformed Kerr medium has no notable effect on the negativity of CSI. In addition, for all cases concerning with constant coupling regime (upside plots) the (typical) collapse and revival is clearly observed.

Squeezing
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Squeezing phenomenon, as the last nonclassicality feature which will be discussed, is one of the applied nonclassicality features which is described by decreasing the quantum fluctuation in one of the field quadratures below the value of vacuum or canonical coherent states. In the continuation, two kinds of squeezing parameters are introduced and in each case, the squeezing condition of the state vector of the whole system is studied.

### Two-mode squeezing

In order to study the two-mode squeezing (since we are dealing with the two-mode cavity field) of the state vector of the system, the following (Hermitian) two-mode quadrature operators have been defined [@knight] $$\begin{aligned}
\label{lsp}
 \hat{X}_{1} &=& \frac{1}{2\sqrt{2}}(\hat{a}_{1}+\hat{a}^{\dag}_{1}+\hat{a}_{2}+\hat{a}^{\dag}_{2}), \nonumber \\
 \hat{X}_{2} &=& \frac{1}{2i\sqrt{2}}(\hat{a}_{1}-\hat{a}^{\dag}_{1}+\hat{a}_{2}-\hat{a}^{\dag}_{2}).
 \end{aligned}$$ These definitions lead to the commutation relation $[\hat{X}_{1},\hat{X}_{2}]=i/2$. Consequently, uncertainty relation for such operators read as $\langle (\Delta \hat{X}_{1})^{2} \rangle \langle (\Delta \hat{X}_{2})^{2} \rangle 