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Optomicrowave entanglement and optomagnonic entanglement have significant applications in constructing hybrid quantum network and optical controlling magnons. In this paper, a theoretical scheme of enhancing optomicrowave and optomagnonic entanglements is proposed, based on a coherent-feedback-assisted optomagnomechanical (OMM) system. By inserting a thin membrane between the input-output mirror and the high-reflective-mirror-attached YIG bridge, the system consists of four kinds of modes: optical mode, microwave mode, mechanical mode, and magnon mode. In this system, optical mode and microwave mode interact with each other through the mechanical mode, while the magnon mode couples with the microwave mode through magnetic-dipole interaction. The entanglement is originally generated between optical mode and phonon mode under the two-mode squeezing mechanism (blue-detuned driven), then the generated entanglement is transferred to the optical mode and microwave mode through the state transfer mechanism (red-detuned driven) between the microwave mode and phonon mode and is further transferred to the optical mode and magnon mode by the magnetic-dipole interaction between the microwave mode and magnon mode. Adopting the negative logarithm criterion, the variations of the optomicrowave and optomagnonic entanglements with detuning, coupling strength, and decay rate are thoroughly investigated. Furthermore, the optimal coherent feedback parameters and the physical mechanisms of generating and transferring entanglement are analyzed, and the entanglement enhancements by adding the feedback loop are discussed. The results show that after adding coherent feedback, optomicrowave entanglement and optomagnonic entanglement can be enhanced effectively within a wide range of parameters and the enhancement can also be well maintained. Our findings provide a theoretical basis for connecting different nodes (different physical systems) to construct hybrid quantum networks, flexibly controlling the quantum properties of magnons, and preparing macroscopic quantum states.
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Keywords:
- optomagnomechanical system /
- coherent feedback /
- quantum entanglement
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图 1 (a)加入相干反馈回路的光磁力系统示意图, 其中CBS(controllable beam splitter)是可控分束器, HRM(highly reflective mirror)是高反镜; (b)各个模式之间的相互作用, 其中蓝色和红色实线分别对应双模压缩型和分束器型相互作用; (c)各个模式之间的频率关系
Figure 1. (a) Optomagnomechanics system scheme with a coherent feedback loop, where CBS represents a controllable beam splitter, and HRM represents a highly reflective mirror; (b) the interactions between different modes, where the blue and red solid lines correspond to the two-mode squeezeing and beam-splitter interactions; (c) the frequency relationship between different modes.
图 2 Eac (a), Eam (b), Eab (c), Ecb (d)随$ {\tilde \varDelta _a} $与$ {\tilde \varDelta _c} $的变化
Figure 2. Eac (a), Eam (b), Eab (c), Ecb (d) versus $ {\tilde \varDelta _a} $and $ {\tilde \varDelta _c} $.
图 3 Eac和Eam随相干反馈参数$ r $和$ \theta $的变化 (a) $ \theta = \pi $; (b) $ r = 0.99 $
Figure 3. Eac and Eam versus the coherent feedback parameters $ r $ and $ \theta $: (a) $ \theta = \pi $; (b) $ r = 0.99 $.
图 4 Eac和Eam随Gab (a), Gcb (b), gcm (c)的变化, 图(b)与图(c)中, 实(虚)线对应右(左)侧的纵轴
Figure 4. Eac and Eam versus Gab (a), Gcb (b), gcm (c). In subgraphs (b) and (c). The solid (dashed) line corresponds to the right (left) vertical axis.
图 5 Eac和Eam随衰减率$ {\kappa _a} $(a), $ {\kappa _c} $(b), $ {\kappa _m} $(c)的变化, 其中实(虚)线对应右(左)侧的纵轴
Figure 5. Eac and Eam versus the decay rates $ {\kappa _a} $(a), $ {\kappa _c} $(b), $ {\kappa _m} $(c). The solid (dashed) line corresponds to the right (left) vertical axis.
图 6 Eac和Eam随$ {\gamma _b} $(a)和T(b)的变化, 图(a)中实(虚)线对应右(左)侧的纵轴
Figure 6. Eac and Eam versus $ {\gamma _b} $(a) and T (b). In panel (a), the solid (dashed) line corresponds to the right (left) vertical axis.
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