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ENTANGLINGOPTICALANDMICROWAVECAVITYMODES BYMEANSOFOPTICALPARAMETRICAMPLIFIERS

AMANTINEGEROTASISA

Published Jun 24, 2026• 0 citations
Publisher

Abstract

ABSTRACT In this thesis, we examine the production of quantum entanglement between optical and microwave cavity modes using a mechanical resonator and optical parametric amplifiers (OPAs). The interaction within this tripartite system is analyzed using the linearized quantum Langevin equations of motion and the linearization approximation, allowing us to study the dynamics of quadrature fluctuations in optical, microwave, and mechanical modes. Specifically, we look at the created bipartite entanglement characteristic in the subsystems of OC-MC, OC-MR, and MC-MR in an opto-electromechanical system. The addition of OPAs provides controlled gain and phase, allowing the system to overcome thermal noise and cavity losses, increasing nonclassical correlations. We use logarithmic negativity, Gaussian steering, and quantum discord to evaluate quantum correlations after solving the covariance matrix using the Lyapunov equation. The results demonstrate that variations in the OPAs nonlinear gain, its phase, and the surrounding temperature affect the degree of subsystem entanglement, which occurs close to the red-sideband detuning of the microwave cavity and is strongly depends on both the OPA gain and its phase. This hybrid technology enables long distance quantum state transmission across optical and microwave frequencies, a valuable resource for future quantum networks and quantum information systems. Keywords: optical cavity, microwave cavity, optical parametric amplifier

DOI
10.20372/nadre:25094

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ABSTRACT In this thesis, we examine the production of quantum entanglement between optical and microwave cavity modes using a mechanical resonator and optical parametric amplifiers (OPAs). The interaction within this tripartite system is analyzed using the linearized quantum Langevin equations of motion and the linearization approximation, allowing us to study the dynamics of quadrature fluctuations in optical, microwave, and mechanical modes. Specifically, we look at the created bipartite entanglement characteristic in the subsystems of OC-MC, OC-MR, and MC-MR in an opto-electromechanical system. The addition of OPAs provides controlled gain and phase, allowing the system to overcome thermal noise and cavity losses, increasing nonclassical correlations. We use logarithmic negativity, Gaussian steering, and quantum discord to evaluate quantum correlations after solving the covariance matrix using the Lyapunov equation. The results demonstrate that variations in the OPAs nonlinear gain, its phase, and the surrounding temperature affect the degree of subsystem entanglement, which occurs close to the red-sideband detuning of the microwave cavity and is strongly depends on both the OPA gain and its phase. This hybrid technology enables long distance quantum state transmission across optical and microwave frequencies, a valuable resource for future quantum networks and quantum information systems. Keywords: optical cavity, microwave cavity, optical parametric amplifier
ABSTRACT In this thesis, we examine the production of quantum entanglement between optical and microwave cavity modes using a mechanical resonator and optical parametric amplifiers (OPAs). The interaction within this tripartite system is analyzed using the linearized quantum Langevin equations of motion and the linearization approximation, allowing us to study the dynamics of quadrature fluctuations in optical, microwave, and mechanical modes. Specifically, we look at the created bipartite entanglement characteristic in the subsystems of OC-MC, OC-MR, and MC-MR in an opto-electromechanical system. The addition of OPAs provides controlled gain and phase, allowing the system to overcome thermal noise and cavity losses, increasing nonclassical correlations. We use logarithmic negativity, Gaussian steering, and quantum discord to evaluate quantum correlations after solving the covariance matrix using the Lyapunov equation. The results demonstrate that variations in the OPAs nonlinear gain, its phase, and the surrounding temperature affect the degree of subsystem entanglement, which occurs close to the red-sideband detuning of the microwave cavity and is strongly depends on both the OPA gain and its phase. This hybrid technology enables long distance quantum state transmission across optical and microwave frequencies, a valuable resource for future quantum networks and quantum information systems. Keywords: optical cavity, microwave cavity, optical parametric amplifier
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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.
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Abstract We study photon–phonon entanglement in a cavity magnomechanical system assisted by an optical parametric amplifier (OPA) and an auxiliary magnon mode. In this hybrid system, the OPA modifies the cavity-field fluctuations through its gain and phase, while the auxiliary magnon mode introduces an additional coherent pathway for strengthening the cavity-phonon quantum correlation. By employing the linearized quantum Langevin equations and the covariance-matrix formalism, we investigate the bipartite entanglement of the system. We find that the auxiliary magnon mode enhances the cavity-phonon entanglement in a suitable parameter regime, and that the OPA can further improve the entanglement through properly chosen gain and phase. In addition, their combined action broadens the parameter region for strong entanglement and improves its robustness against thermal noise. Our scheme provides a promising approach for achieving enhanced and robust entanglement in cavity magnomechanical systems.
On this paper, we present an in depth evaluation of the bipartite entanglement of cavity radiation from the optomechanical device with an optical parametric amplifier (OPA) placed inside two cavity mode, which together have interaction with a mechanical resonator. Right here by linearizing the equations of motion, we set the entanglement gift inside the gadget, the use of the logarithmic negativity as a degree. We thereby symbolize the adjustments inside the machine entanglement that result from the addition of an quadratic coupling to a linearly coupled gadget. With the assist of the optical parametric amplifier, the desk bounds macroscopic entanglement between the movable replicate and the hollow space subject can be mainly more suitable, and the degree of entanglement increases while the parametric gain increases as well as input laser electricity will increase. For that reason, while an optical parametric amplifier is delivered inside a hollow space, which leads to extensive improvement of the two-mode entanglement. These results establish a promising theoretical basis for optical parametric amplifier (OPA) more suitable bipartite entanglement of optomechanical device for quantum technology and advanced quantum information processing applications.