Effective description of a suspended mirror coupled to cavity light -Limitations of Q-enhancement due to normal mode splitting by an optical spring-
Effective description of a suspended mirror coupled to cavity light -Limitations of Q-enhancement due to normal mode splitting by an optical spring-
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与腔光耦合的悬挂镜的有效描述 -光学弹簧法向模式分裂导致的 Q 增强的限制 -
DOI：
10.1103/physreva.107.033515
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发表时间：
2023
期刊：
影响因子：
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通讯作者：
Kazuhiro Yamamoto
中科院分区：
文献类型：
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作者：
Yuuki Sugiyama;Tomoya Shichijo;Nobuyuki Matsumoto;Akira Matsumura;Daisuke Miki;Kazuhiro Yamamoto
摆长期以来一直被用作力传感器，由于其最终的低耗散（高品质因数）特性。它们被广泛应用于引力常数的测量、引力波的探测和超轻暗物质的测定。此外，我们还期望通过对宏观引力的量子控制来证明引力的量子性质。最近，我们证明了利用光学弹簧可以产生两个量子纠缠[D。三木，N.松本，A.松村T.七条岛杉山湾Yamamoto和N. Yamamoto，Phys.Rev.A107，032410（2023）10.1103/PhysRevA.107.032410];然而，我们忽略了光学弹簧可以通过在具有相对高耗散的摆模和旋转模之间应用法向模分裂来降低品质因数（因数）。在此，我们分析由使用梁悬挂的圆柱体（悬挂镜，即，摆）和光学弹簧以考虑简正模分裂。减小因子仅由光束参数确定：反射镜的半径与光束的长度的比率，以及在没有腔光子的情况下旋转模式与摆模式的频率的比率。在我们的分析中，我们发现，减少因子4.38再现，这是与Matsumoto等人的实验结果相一致。[N.松本、S. B。卡塔尼奥-洛佩斯湾Sugawara，S.铃木，N. Abe，K. Komori，Y. Michimura，Y.阿索和K. Edamatsu，Phys. Rev. Lett. 122，071101（2019）0031-900710.1103/PhysRevLett.122.071101]。我们的分析表明，低耗散（高品质），可以达到使用光学弹簧的现实摆系统考虑旋转自由度。
Pendulums have long been used as force sensors due to their ultimately low dissipation (high-quality factor) characteristic. They are widely used in the measurement of the gravitational constant, detection of gravitational waves, and determination of ultralight dark matter. Furthermore, it is expected that the quantum nature of gravity will be demonstrated by performing quantum control for macroscopic pendulums. Recently, we have demonstrated that quantum entanglement between two pendulums can be generated using an optical spring [D. Miki, N. Matsumoto, A. Matsumura, T. Shichijo, Y. Sugiyama, K. Yamamoto, and N. Yamamoto, Phys. Rev. A 107, 032410 (2023)10.1103/PhysRevA.107.032410]; however, we have ignored that an optical spring can reduce the quality factor (factor) by applying normal-mode splitting between the pendulum and rotational modes possessing relatively high dissipation. Herein, we analyze a system composed of a cylinder suspended using a beam (a suspended mirror, i.e., a pendulum) and an optical spring to consider normal-mode splitting. The reduction infactor is determined only by the beam parameters: the ratio of the radius of the mirror to the length of the beam, and the ratio of the frequency of the rotational mode to the pendulum mode in the absence of cavity photons. In our analysis, we find that the reduction factor 4.38 is reproduced, which is consistent with the experimental result in Matsumotoet al.[N. Matsumoto, S. B. Cataño-Lopez, M. Sugawara, S. Suzuki, N. Abe, K. Komori, Y. Michimura, Y. Aso, and K. Edamatsu, Phys. Rev. Lett. 122, 071101 (2019)0031-900710.1103/PhysRevLett.122.071101]. Our analysis shows that low dissipation (high quality) can be reached using an optical spring for the realistic pendulum system considering the rotational degree of freedom.