Abstract Verification of macroscopic quantum mechanics requires that the position measurement accuracy of mirrors of various mass scales reach the Standard Quantum Limit (SQL) derived from Heisenberg's uncertainty principle. At mg-scale, thermal noise of the suspension wire of the mirror is an issue to reach the SQL. We propose to use a magnetic levitation system consisting of permanent magnets and yokes, noting the fact that a silica mirror is diamagnetic, and have succeeded in the experimental verification to levitate a 0.1-1 mg silica mass. This is the first demonstration of the levitation system with this mass scale and this magnetic susceptibility scale using permanent magnets as far as we know. We also estimated major noise sources for a 0.1 mg silica mirror and found the noise level to be lower than the SQL at 400 Hz-18 kHz. In conclusion, the levitation system of a mg-scale mirror for the use in a macroscopic quantum measurement was realized.

中文翻译：

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使用永磁体对毫克级二氧化硅进行抗磁悬浮，用于宏观量子测量

摘要 宏观量子力学的验证要求各种质量尺度的反射镜的位置测量精度达到由海森堡测不准原理推导出的标准量子极限（SQL）。在毫克级，反射镜吊线的热噪声是到达 SQL 的一个问题。我们建议使用由永磁体和磁轭组成的磁悬浮系统，注意到二氧化硅镜是抗磁性的，并且在实验验证中成功悬浮了 0.1-1 mg 二氧化硅质量。据我们所知，这是使用永磁体的具有这种质量标度和这种磁化率标度的悬浮系统的首次演示。我们还估计了 0.1 mg 硅镜的主要噪声源，发现噪声水平低于 400 Hz-18 kHz 的 SQL。