  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.
