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 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 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.
In this work, we investigate the dynamics of quantum synchronization in a four-mode optomechanical system, focusing on the influence of the Coulomb interaction between two mechanical resonators. We analyze the effect of the Coulomb coupling on three distinct synchronization regimes, i.e., complete quantum synchronization, φ-synchronization, and quantum phase synchronization. Our results show that while the Coulomb interaction plays a pivotal role in significantly enhancing quantum phase synchronization by facilitating energy exchange and phase coherence, it has little impact on complete and φ-synchronization. This indicates that amplitude and frequency locking are primarily determined by the optical driving, whereas phase alignment depends critically on inter-resonator coupling. We also demonstrate that the oscillations of the two optical cavities, which are indirectly coupled via the mechanical resonators, can become aligned over time, resulting in classical synchronization. These findings provide a robust mechanism for controlling collective quantum dynamics and offer a foundation for applications in quantum communication, precision sensing, and the development of synchronized quantum networks.
We investigate quantum synchronization in a coupled cavity optomagnonic system which consists of two spatially separated optical whispering-gallery-mode (WGM) resonators and each resonator is also coupled to a yttrium iron garnet (YIG) sphere through the optomagnonic interaction. Phase-dependent single-photon hopping factor couples the two optical resonators and provides an indirect interaction between the two distant magnon modes. We then investigate complete synchronization, φ-synchronization, and quantum phase synchronization using the covariance-matrix formalism as well as also studying the effects of the hopping term on the overall synchronization dynamics of two distant magnon modes. It can be seen that the photon-hopping phase provides an efficient way to control the synchronization dynamics and when it is varied from 0 to π, the magnon trajectories gradually evolve from weakly correlated motion to a highly synchronized state, which is also accompanied by a significant reduction in the synchronization error. The influence of the photon-hopping strength and thermal fluctuations is also investigated, where it can be seen that stronger photon hopping enhances all synchronization measures, while thermal noise weakens the coherent correlations responsible for synchronized dynamics. Our results demonstrate that the phase of the hopping factor offers a simple and effective approach for controlling synchronization dynamics in WGM based coupled cavity optomagnonic systems and also provide a useful route towards coherent control of collective magnon dynamics in such quantum optomganonic devices.
Abstract We theoretically investigate quantum coherence in a hybrid optomechanical system with a fixed mirror, mechanical oscillators, two-level atoms, and an optical parametric amplifier (OPA) within the cavity. A coherent feedback loop is created by redirecting part of the cavity's output field back into the cavity via an asymmetric beam splitter. Using numerical solutions of the Lyapunov equation and steady-state mean values, we quantify the Gaussian quantum coherence of the system. Our results show that the presence of OPA, coherent feedback, atomic ensembles, and strong laser power significantly enhance quantum coherence, while higher atomic decay rates, relative phase, and temperatures reduce it. This approach not only boosts quantum coherence but also improves resilience to temperature fluctuations, providing a robust foundation for quantum information processing.
The optomechanical cavity system has been a paradigm in the manifestation of continuous variable quantum information over the past decade. This paper investigates how quantum phase synchronization is associated with bipartite Gaussian entanglement in coupled gain-loss mechanical oscillators, where the gain and loss rates can be controlled by driving the cavities with blue and red detuned lasers, respectively. We examine the role of the exceptional point (EP) in a deterministic way of producing self-sustained oscillations that generate robust quantum correlations among quadrature fluctuations of the mechanical oscillators. Particularly, steady phase synchronization dynamics along with the entanglement phenomena are observed in the effective weak-coupling regime above a critical driving power. These phenomena are further verified by observing the mechanical squeezing and phase-space rotations of the Wigner distributions. Moreover, the fidelity fluctuation shows how the quantum correlation dynamics are related to the EP of the system. We also discuss the impact of the mechanical oscillator's frequency mismatch and decoherence due to thermal phonons on system dynamics. These findings hold promise for applications in phonon-based quantum communication and information processing on the macroscopic scale.