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arXiv:1804.11183

Optical and Microcavity Modes Entanglement by means of Developed Opto-Mechanical System

Ahmad Salmanogli, H. Selçuk Geçim

Published Apr 30, 2018• 3 citations
arXivHTMLPDF

Abstract

To improve the performance of the traditional tripartite opto-mechanical system, we design a developed opto-mechanical tripartite system in which all subsystems such as an optical cavity, microresonator, and microcavity modes are coupled directly to each other. This system is analyzed quantum mechanically, and its dynamics of motion is studied by the Heisenberg-Langevin equations. Notably, the originality of this work contributes to embedding the spherical capacitor in the optical cavity where the plasmon-plasmon interaction between capacitor plates manipulates the internal electric field. Therefore, using plasmon-plasmon interaction inside the spherical capacitor, which leads to nonlinearity, causes the contributed polarization function of the plasmonic property. Actually, this plasmonic property manages the spherical capacitance. Although the spherical capacitor is fundamentally dependent on the plasmonic properties caused by the capacitor gap, the spherical capacitor for a design is required to be parallel to the microwave capacitor. The system developed in the present work proved that the stability of the entanglement between optical cavity and microcavity modes toward the temperature changing is dramatically increased; which is the original goal of this study. It is worth mentioning that the environment noise severely restricted the traditional tripartite system operated with a wide bandwidth, hence the present design can efficiently fix this issue.

DOI
10.48550/arxiv.1804.11183

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To improve the performance of the traditional tripartite opto-mechanical system, we design a developed opto-mechanical tripartite system in which all subsystems such as an optical cavity, microresonator, and microcavity modes are coupled directly to each other. This system is analyzed quantum mechanically, and its dynamics of motion is studied by the Heisenberg-Langevin equations. Notably, the originality of this work contributes to embedding the spherical capacitor in the optical cavity where the plasmon-plasmon interaction between capacitor plates manipulates the internal electric field. Therefore, using plasmon-plasmon interaction inside the spherical capacitor, which leads to nonlinearity, causes the contributed polarization function of the plasmonic property. Actually, this plasmonic property manages the spherical capacitance. Although the spherical capacitor is fundamentally dependent on the plasmonic properties caused by the capacitor gap, the spherical capacitor for a design is required to be parallel to the microwave capacitor. The system developed in the present work proved that the stability of the entanglement between optical cavity and microcavity modes toward the temperature changing is dramatically increased; which is the original goal of this study. It is worth mentioning that the environment noise severely restricted the traditional tripartite system operated with a wide bandwidth, hence the present design can efficiently fix this issue.
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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
We propose a scheme to generate one-way steering, bipartite, and genuine tripartite entanglement in a five-mode hybrid cavity electro-optomechanical system consisted of an optical cavity, a mechanical resonator, and three microwave cavity modes with the help of a squeezed vacuum field. The optical cavity is pumped by a squeezed vacuum field. The mechanical resonator is formed by a freely vibrating silicon nitride membrane, which is a part of a capacitor in an inductor–capacitor circuit forming three microwave resonators. We find that there is robust entanglement and one-way steering between the optical cavity mode and microwave cavity modes in the presence of the squeezed vacuum field. Particularly, there is steady-state genuine tripartite entanglement between three microwave cavity modes, which is robust against thermal fluctuations. Our scheme could be useful for various quantum tasks based on hybrid electro-optomechanical systems fabricated on chips.
This study presents the analysis of entanglement using three optical cavities with one microwave cavity.The interactions between intracavity fields that coupled to vibrating end mirrors also been studied.The intense driving of the cavities enables the generation of bipartite entanglement between any two components of the tripartite system.The entanglement sharing between microwave-mechanical and opto-mechanical entanglement lead to the generation of optical-microwave entanglement.Result shows that the entanglement between mechanical resonator with first optical cavity having the highest value of logarithmic negativity, E N .