Classical Instability Effects on Photon Excitations and Entanglement

TL;DR

This paper explores how classical instability in coupled oscillators influences photon excitation and entanglement, revealing strong correlations and potential for classical control of quantum properties.

Contribution

It demonstrates a link between classical instability and quantum entanglement in non-resonant oscillators, providing a new approach to control quantum features via classical systems.

Findings

Classical instability correlates with photon excitation levels.

Photon excitation and entanglement are interconnected.

Classical systems can be engineered to control quantum entanglement.

Abstract

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