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.
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 theoretically investigate the entanglement properties in a hybrid system consisting of an optical cavity–array coupled to a mechanical resonator. We show that the steady state of the system presents bipartite continuous variable entanglement in an experimentally accessible parameter regime. The effects of the cavity–cavity coupling strength on the bipartite entanglements in the field–mirror subsystem and in the field–field subsystem are studied. We further find that the entanglement between the adjacent cavity and the movable mirror can be entirely transferred to the distant cavity and mirror by properly choosing the cavity detunings and the coupling strength in the two-cavity case. Surprisingly, such a remote macroscopic entanglement tends to be stable in the large coupling regime and persists for environment temperatures at above 25 K in the three-cavity case. Such optomechanical systems can be used for the realization of continuous variable quantum information interfaces and networks.
In this paper, we investigate the steady-state of quantum correlation measurement of hybrid optomechanical systems. The first system consists of a single optomechanical system simultaneously coupled to a mechanical oscillator. While the second system is a hybrid optomechanical system consisting of an atomic ensemble placed in between the optical cavity and mirror. For both optomechanical systems, we formulate the Hamiltonian and the explicit expression of the covariance matrix leading to the dynamic of the system. Under the linearization approximation, we investigate the steady-state quantum correlations which are quantified through the correlation function of non-Hermitian operators, while the logarithmic negativity is used to quantify the amount of quantum entanglement between the subsystems. Furthermore, our proposed quantum correlation function can be used to quantify the entangled bipartite states that are correlative and transfer information. It is found that the transfer of quantum correlations between the subsystem is related to the detuning and coupling strength. Our results provide a realistic route toward remote quantum entanglement detection and a framework of future realistic fiber-optic quantum network operating applications.
In this paper, we investigate the degree of steady-state entanglement using a hybrid optomechanical system, where the separate cavities contain a degenerate optical parametric amplifier (DOPA). Particularly, under the linearization approximation, the steady-state entanglement is quantified through logarithmic negativity. The bipartite entanglement between cavity-mechanical oscillator modes and two cavity modes is analyzed through the applicable choice of nonlinear gain of OPA, optical cavity detuning, and cavity-cavity coupling strength. It is found that the steady-state entanglement increases with the nonlinear gain of OPA medium and normalized detuning. We further emphasize the influence of cavity-cavity coupling parameter on the bipartite entanglement, and the generation of entanglement can be transferred entirely due to the coupling strengths. The main contribution of coupling parameters on the entanglement of the two modes of mechanical oscillators significantly altered and increased. The observed possibility of transferring the emerging entanglement of the states of light in the two cavities to the modes of the accompanying mechanical oscillators is expected to be a valuable asset in the practical realization of quantum information processing .
In this paper, we explore the generation of continuous-variable quantum correlations in an optomechanical nanobeam crystal, which consists of two dielectric mirrors designed as Bragg reflectors. These mirrors are constructed from alternating layers, with varying refractive indices, and their transmissive and reflective properties are analyzed using the transfer matrix method. The system is driven by a laser field tuned to the blue-detuned sideband, enabling coupling between the cavity and mechanical modes through radiation pressure. We explore various forms of quantum correlations, including entanglement, quantum steering, and quantum discord. Logarithmic negativity is employed to quantify entanglement, while quantum steering is assessed to evaluate the steerability between subsystems. Quantum discord is employed to measure non-classical correlations that extend beyond entanglement. Our findings emphasize that the strength of quantum correlation is affected by several factors, including laser power, single-photon coupling strength, and the refractive index of the mirror layers. Notably, all forms of correlations diminished with increasing temperature. These results underline the potential of the proposed system for advancing continuous-variable quantum information processing, offering versatile platforms for studying and harnessing quantum correlations in practical applications.
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.