Enhancement of entanglement in distant micromechanical mirrors using parametric interactions
Chang-Sheng Hu, Xi-Rong Huang, Li-Tuo Shen, Zhen-Biao Yang and, Huai-Zhi Wu

TL;DR
This paper proposes a method to enhance and stabilize entanglement between distant micromechanical mirrors using optical parametric amplifiers in a cascaded cavity optomechanical system, even under conditions that are typically unstable.
Contribution
It introduces a novel scheme utilizing OPAs to generate and preserve steady-state entanglement in a two-cavity optomechanical system with unstable parameters.
Findings
OPAs enable entanglement in otherwise unstable regimes.
Parametric gain modulation enhances entanglement stability.
The scheme improves entanglement robustness against thermal dissipation.
Abstract
We theoretically investigate the stability of a two cascaded cavity optomechanical system with optical parametric amplifiers (OPAs) inside the two coupled cavities, and study the steady-state entanglement between two distant mechanical resonators. We show that the parameter regime where the system is unstable without OPAs, such as relatively high laser intensity and blue detuning, can be exploited to build the steady-state mechanical entanglement by modulating the parametric gain. The application of OPAs is helpful to preserve the mechanical entanglement suffered from the dissipation at some finite temperature. The scheme provides an alternative way for improving and engineering the quantum entanglement of two distant mechanical oscillators.
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