of $\theta$ is increased so that the nature of the evolution of entanglement be clearly evident. If one expects the nature of entanglement to follow the same trend for various values of $\gamma/\Gamma$, the degree of entanglement indicated in Fig. \[fig2\] should have been much larger. However, when the results presented in Figs. \[fig1\] and \[fig2\] are compared, the entanglement turns out to be better in the former. This entails that the phase fluctuation significantly ruins the obtainable degree of entanglement at earlier times. For relatively longer time span, the oscillation is limited to very close to $V_{s}=0.5$ as in the case when $\theta=0$. This suggests that the effect of phase fluctuation can be minimal at longer time scale when compared to earlier times. In order to attest to this claim, $V_{s}$ is plotted against $time$ for different $\theta$. The result depicted in Fig \[fig3\] indicates that, indeed, the degree of entanglement decreases with the deviation of the phase fluctuation in the earlier times of the lasing operation. In relation to the involved oscillation, there is also a brief window of time in which the degree of entanglement can increase with the phase fluctuation. Just as we have observed for 