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We propose a scheme that optimizes entanglement in nanomechanical resonators through quantum state transfer of squeezed fields assisted by radiation pressure. The system is driven by red-detuned laser fields, which enable simultaneous cooling of the mechanical resonators while facilitating the transfer of quantum states in a weak coupling, sideband-resolved regime. The mechanical entanglement is quantified using logarithmic negativity within the bipartite Gaussian states of the two mechanical modes. Our results show that the degree of mechanical entanglement is strongly influenced by several key parameters, including the parametric phase and nonlinear gain of the non-degenerate OPA, the squeezing strength of the injected squeezed vacuum reservoir, optomechanical cooperativity (controlled by laser drive power), and the mechanical bath temperature (phonon thermal excitation). Additionally, our results indicate that careful tuning of these parameters can enhance entanglement robustness, suggesting that this optomechanical scheme holds promise for applications in quantum sensing and information processing., Comment: 10 pages, 7 figures

We address the dynamical bipartite entanglement in an opto-electro-mechanical system that involves a three-level atom. The system consists of a degenerate three-level atom, a mechanical resonator, an optical cavity, and a microwave cavity. By utilizing the linearization approximation and nonlinear quantum-Langevin equations, the dynamics of the system are analyzed, and the bipartite entanglement is evaluated using the logarithmic negativity. The research findings indicate that the entanglement between each subsystem increases with the atom injection rate, suggesting that a higher atom injection rate leads to enhanced information transmission between the subsystems. Additionally, it is observed that the correlation between subsystems increases with an increase in the coupling rate. Moreover, the study demonstrates that the correlation between each subsystem decreases as temperature rises. We also show that the degree of tripartite entanglement diminishes with increasing atomic decay rates. The results highlight the positive impact of three-level atoms on the bipartite entanglement in an opto-electro-mechanical system. Consequently, such electro-optomechanical systems can offer a framework for optomechanical information transfer., Comment: 11 pages, 7 figures