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The Schr\"{o}dinger dynamics of photon excitation numbers together withentanglement in two non-resonant time-dependent coupled oscillators isinvestigated. By considering $ \pi-$periodically pumped parameters and usingsuitable transformations, we obtain the coupled Meissner oscillators.Consequently, our analytical study shows two interesting results, which can besummarized as follows. (i): Classical instability of classical analog ofquantum oscillators and photon excitation {averages $\left\langleN_{j}\right\rangle $} are strongly correlated. (ii): Photon excitation's andentanglement are connected to each other. These results can be used to shedlight on the link between quantum systems and their classical counterparts.Also it allow to control entanglement by engineering only classical systemswhere the experiments are less expensive.

Classical Instability Effects on Photon Excitations and Entanglement