Enhancing entanglement in nano-mechanical oscillators via hybrid optomechanical systems

• URL: http://arxiv.org/abs/2410.15345v1
• Date: Sun, 20 Oct 2024 09:37:30 GMT
• Title: Enhancing entanglement in nano-mechanical oscillators via hybrid optomechanical systems
• Authors: Muhdin Abdo Wodedo, Tewodros Yirgashewa Darge, Berihu Teklu, Tesfay Gebremariam Tesfahannes,
• Abstract summary: We compare four criteria for continuous-variable entanglement, which serve as sufficient conditions for determining the separability of Gaussian two-mode states. Our findings indicate that while the applied inseparability criteria show similar entanglement patterns within specific parameter ranges, the degree of entanglement varies depending on the chosen criteria.
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• Abstract: In this paper, we explore and compare four criteria for continuous-variable entanglement, which serve as sufficient conditions for determining the separability of Gaussian two-mode states. Our system comprises two nano-mechanical resonators coupled to a hybrid doubly resonant optomechanical cavity system integrated with a non-degenerate optical parametric amplifier. The entanglement between the mechanical oscillators is primarily driven by non-classical state transitions of injected photons from the squeezed vacuum reservoir and intracavity squeezed radiation induced by radiation pressure in which the system operates in the weak coupling regime within good cavity limit. Our findings indicate that while the applied inseparability criteria show similar entanglement patterns within specific parameter ranges, the degree of entanglement varies depending on the chosen criteria. Additionally, the combined effects of injected squeezing and the parametric amplifier significantly enhance the entanglement when optimal parameters are selected. We also observe that the strength of the entanglement is mainly influenced by optomechanical cooperativity and thermal noise from the mechanical baths. The entanglement levels can be controlled by carefully adjusting these parameters, suggesting potential applications in quantum metrology and quantum information processing.

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