ABSTRACT This study investigates the creation of entanglement and quantum steering within a two-cavity optomechanical setup linked through photon hopping. One of the cavities exhibits nonlinear gain, whereas the other interacts with a mechanical oscillator. Our results show that photon hopping enables the transfer of quantum correlations among the subsystems. Furthermore, we explore these multipartite dynamics under practical conditions that account for thermal noise, detuning, and mechanical damping. The results reveal that photon hopping plays a crucial role in strengthening both quantum steering and entanglement between the optical and mechanical modes. An increase in nonlinear gain enhances the extent of quantum correlations, whereas the detuning parameter provides an additional means of control for optimizing system performance. Moreover, the robustness of entanglement and steering against thermal noise demonstrates that photon hopping effectively maintains non-classical correlations even in noisy environments. The findings indicate that photon hopping effectively sustains multiple instances of quantum steering among different subsystems while also initiating entanglement generation. By deepening the understanding of the interplay between photon tunneling and optomechanical coupling, this study provides important insights for the design of hybrid quantum networks. These systems hold strong potential for applications in distributed sensing, quantum communication, and scalable quantum information processing platforms. Key Words: Entanglement, Steering, Optomechanical, Photon Hopping, Discord.
ABSTRACT This study investigates the creation of entanglement and quantum steering within a two-cavity optomechanical setup linked through photon hopping. One of the cavities exhibits nonlinear gain, whereas the other interacts with a mechanical oscillator. Our results show that photon hopping enables the transfer of quantum correlations among the subsystems. Furthermore, we explore these multipartite dynamics under practical conditions that account for thermal noise, detuning, and mechanical damping. The results reveal that photon hopping plays a crucial role in strengthening both quantum steering and entanglement between the optical and mechanical modes. An increase in nonlinear gain enhances the extent of quantum correlations, whereas the detuning parameter provides an additional means of control for optimizing system performance. Moreover, the robustness of entanglement and steering against thermal noise demonstrates that photon hopping effectively maintains non-classical correlations even in noisy environments. The findings indicate that photon hopping effectively sustains multiple instances of quantum steering among different subsystems while also initiating entanglement generation. By deepening the understanding of the interplay between photon tunneling and optomechanical coupling, this study provides important insights for the design of hybrid quantum networks. These systems hold strong potential for applications in distributed sensing, quantum communication, and scalable quantum information processing platforms. Key Words: Entanglement, Steering, Optomechanical, Photon Hopping, Discord.
ABSTRACT This study investigates the creation of entanglement and quantum steering within a two-cavity optomechanical setup linked through photon hopping. One of the cavities exhibits nonlinear gain, whereas the other interacts with a mechanical oscillator. Our results show that photon hopping enables the transfer of quantum correlations among the subsystems. Furthermore, we explore these multipartite dynamics under practical conditions that account for thermal noise, detuning, and mechanical damping. The results reveal that photon hopping plays a crucial role in strengthening both quantum steering and entanglement between the optical and mechanical modes. An increase in nonlinear gain enhances the extent of quantum correlations, whereas the detuning parameter provides an additional means of control for optimizing system performance. Moreover, the robustness of entanglement and steering against thermal noise demonstrates that photon hopping effectively maintains non-classical correlations even in noisy environments. The findings indicate that photon hopping effectively sustains multiple instances of quantum steering among different subsystems while also initiating entanglement generation. By deepening the understanding of the interplay between photon tunneling and optomechanical coupling, this study provides important insights for the design of hybrid quantum networks. These systems hold strong potential for applications in distributed sensing, quantum communication, and scalable quantum information processing platforms. Key Words: Entanglement, Steering, Optomechanical, Photon Hopping, Discord.
Abstract In this paper, we study quantum synchronization in a hybrid optomechanical system that includes photon hopping and atomic ensembles. The covariance matrix method is used to examine synchronization between cavity–cavity, cavity–atom, and cavity–mechanical subsystems. Our results demonstrate that strong photon hopping improves synchronization by enabling efficient transfer of energy and phase between the coupled modes. Furthermore, we reveal that synchronization exhibits a non-monotonic dependence on both the atomic coupling strength and system detuning, initially increasing up to a critical threshold before gradually declining. In contrast, decoherence effects especially atomic decay rate reduce synchronization by destroying phase coherence. While cavity-mechanical synchronization is heavily suppressed by an increasing thermal phonon number, cavity-cavity and cavity-atomic synchronization remain uniquely robust against thermal noise. Ultimately governed by the competition between coherent coupling and environmental dissipation, these results provide valuable insights into controlling quantum synchronization for future applications in quantum information processing, precision metrology, and scalable hybrid quantum networks.
Abstract We introduce a novel scheme for achieving quantum entanglement and Einstein–Podolsky–Rosen (EPR) steering between an atomic ensemble and a mechanical oscillator within a hybrid atom–optomechanical system. The system comprises an optical cavity, a two-level atomic ensemble and a mechanical resonator that possesses Duffing nonlinearity. The interaction between these components is mediated by the cavity mode, which is driven by an external laser. Our findings indicate that optimizing the coupling strengths between photons and phonons, as well as between atoms and the cavity, leads to maximal entanglement and EPR steering. The amplitude of the driving laser plays a pivotal role in enhancing the coupling between photons and phonons, and the system maintains robust entanglement and EPR steering even under high dissipation, thereby mitigating the constraints on initial conditions and parameter precision. Remarkably, the Duffing nonlinearity enhances the system’s resistance to thermal noise, ensuring its stability and entanglement protection. Our analysis of EPR steering conditions reveals that the party with lower dissipation exhibits superior stability and a propensity to steer the party with higher dissipation. These discoveries offer novel perspectives for advancing quantum information processing and communication technologies.
This study investigates the generation and enhancement of quantum entanglement in an electro-optomechanical ring cavity system. The setup integrates two Coulomb-coupled mechanical resonators, which serve as the fundamental mechanism for the generation of bipartite and tripartite entanglement via charge mediated coupling. We then demonstrate the significant enhancement of this entanglement via a nonlinear parametric drive (an optical parametric amplifier, OPA), which injects a controllable nonlinearity into the cavity. We derive the system's Hamiltonian and the corresponding quantum Langevin equations, which are linearized around steady-state solutions to analyze Gaussian quantum fluctuations. Employing the covariance matrix formalism, we quantify bipartite entanglement via logarithmic negativity and tripartite entanglement via the minimum residual contangle. Our results unequivocally show that while the Coulomb interaction is indispensable for creating entanglement, the OPA acts as a powerful control tool, dramatically amplifying the degree of quantum correlations for all subsystems. We find that the strength of entanglement is highly sensitive to several parameters and can be optimized through the strategic selection of the OPA's gain and phase, the laser detuning, and the input power. A key finding is the existence of a trade-off, where parameters that maximize entanglement also constrain the stable operating regime of the system. Furthermore, thermal noise is shown to progressively degrade all quantum correlations, underscoring the necessity for low-temperature operation. These findings provide comprehensive guidance for parameter optimization, outlining a clear path from generation to enhancement, and highlight the potential of such hybrid systems as versatile platforms for controlling multipartite entanglement in quantum technologies.
In this paper, we study the remote bipartite entanglement and correlations between the neighboring cavity and movable mirror using an optomechanical array, in which the optical cavities are coupled to one oscillating end-mirror through a photon hopping process. Under the linearization approximation, the stationary bipartite continuous-variable entanglement and quantum correlations are quantified through logarithmic negativity and correlation functions of two non-Hermitian operators, respectively. Remarkably, our numerical simulation exhibits a generation of bipartite correlation behavior between cavity–oscillating mirror and cavity–cavity subsystems through the applicable choice of optical cavity detunings and photon hopping coupling strength. The system also offers the possibility of remote bipartite entanglement with the neighboring cavity and movable mirror. We further show that the amount of quantum correlation between subsystems can be achieved for small photon hopping coupling strengths and small effective temperatures. It is found that the generation of bipartite quantum correlations between the cavity mode and oscillating mirror can be transferred entirely through photon hopping coupling strength. Our results may have potential applications for the realization of optomechanical crystals platform and continuous-variable quantum information interfaces.
We present a theoretical investigation of quantum entanglement enhancement in an electro-optomechanical system comprising a ring cavity with two Coulomb-coupled mechanical resonators and an embedded optical parametric amplifier (OPA). The system dynamics are governed by radiation pressure interactions between the optical field and mechanical modes, modified by both the Coulomb coupling and OPA-induced squeezing. Through a comprehensive quantum Langevin analysis and linearization approach, we demonstrate how these competing interactions can be exploited to generate and control entanglement. Our key finding is that the Coulomb interaction strength is fundamental for generating bipartite entanglement, both between directly coupled mechanical modes and, more remarkably, between optical and mechanical modes, thereby influencing the entire system. The OPA parameters, namely the gain and phase, provide powerful control knobs for entanglement optimization. Notably, the OPA enhances entanglement robustness against thermal noise, resulting in stronger quantum correlations. We quantify these effects through covariance matrix methods and logarithmic negativity measures. The study provides new insights into hybrid optomechanical entanglement generation, showing how combined charge-mediated coupling and optical squeezing can overcome typical limitations of purely optomechanical systems. These results offer practical guidelines for experimental implementations in quantum information processing and macroscopic quantum state engineering, particularly in systems where environmental noise and parameter stability are critical concerns.