发表机构
Harvard University; Ulm University（哈佛大学; 乌尔姆大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文利用迈斯纳悬浮微磁体的耦合质心与旋转运动，通过参数激励和级联非线性频率混合产生可调间距的机械频率梳，并观察到大振幅下的相位锁定现象，为非线性多模力学和精密传感提供了新平台。
AI 中文摘要
多模机械系统中的非线性可以产生丰富的动力学现象，在传感应用和未来量子实验中具有巨大潜力。我们证明，迈斯纳悬浮微磁体的质心运动与旋转运动的耦合为非线性动力学提供了一个有前景的平台，该平台兼具低耗散、磁可调性、强固有达芬非线性以及非线性模态间耦合等特性。我们利用这种可调性，展示了微磁体动力学中机械频率梳的产生，该频率梳通过对两个平动模态进行参数激励，随后进行级联非线性频率混合来实现，从而产生具有可调间距的声子梳。在大振幅下，与磁体低频摆动模态的非线性耦合会导致该模态的参数激励和相位锁定，从而在驱动的次谐波处产生密集的光谱精细结构。这些结果确立了悬浮微磁体作为非线性多模力学平台的可行性，并在精密传感和量子极限计量学方面具有潜在应用。
英文摘要
Nonlinearities in multimode mechanical systems can give rise to rich dynamical phenomena with great potential for sensing applications and for future quantum experiments. We demonstrate that the coupled center-of-mass and rotational motion of a Meissner-levitated micromagnet offer a promising platform for nonlinear dynamics, combining low dissipation, magnetic tunability, strong intrinsic Duffing nonlinearities, and nonlinear intermodal couplings. We use this tunability to demonstrate the generation of a mechanical frequency comb in the micromagnet dynamics, realized by parametric excitation of two translational modes followed by cascaded nonlinear frequency mixing, which produces a phononic comb with tunable spacing. At large amplitudes, nonlinear coupling to a low-frequency librational mode of the magnet leads to parametric excitation and phase locking of that mode, generating a dense spectral fine structure at subharmonics of the drive. These results establish levitated micromagnets as a platform for nonlinear multimode mechanics, with potential applications in precision sensing and quantum-limited metrology.
CommentsMain text: 6 pages, 4 figures. Supplement: 17 pages, 7 figures
