AI 中文总结
本研究分析了具有非厄米耦合的两个受驱动耗散振子的动力学，确定了其稳态与振荡模式，解释了合成反铁磁体相关实验并为后续实验设计提供指导。
AI 中文摘要
我们分析了两个谐波振子的动力学，二者之间存在非线性、非厄米耦合。具体而言，我们考虑由两个铁磁层构成的合成反铁磁体，两层之间存在反铁磁相互作用，这使得组合系统出现两种振荡模式。我们分析了该系统对外加驱动场的响应，确定了不同驱动条件下的允许稳态。随后，我们分析了各稳态附近小偏差的动力学，揭示了可通过实验中光谱技术探测的简正模式。正如预期，该非线性系统表现出多稳态性，即相同驱动条件下可存在多个稳态。我们发现，动力学响应会因驱动两种模式中的哪一种以及驱动强度而显著不同，具体而言，我们可在光谱中获得能级排斥或能级吸引模式。除了丰富多样的光谱外，我们还发现部分稳态的简正模式包含多个频率。我们的结果解释了近期关于合成反铁磁体的实验，并为设计可探索这些系统中此前未观测现象的实验提供了指导。
英文摘要
We analyze the dynamics of two harmonic oscillators with nonlinear, non-Hermitian coupling between them. Specifically, we consider a synthetic antiferromagnet composed of two ferromagnetic layers with antiferromagnetic interactions between the two layers, leading to the emergence of two oscillation modes of the combined system. We analyze the response of this system to external driving fields. We determine the allowed steady states under various driving conditions. We then analyze the dynamics of small deviations away from the different steady states, which reveals the normal modes that can be probed using spectroscopic techniques in experiment. As expected, the nonlinear system exhibits multistability, in which multiple steady states can exist for the same driving conditions. We find that the dynamical response can be drastically different depending on which one of the two modes is driven and on the strength of the driving. Specifically, we can obtain level-repulsion or level-attraction patterns in the spectrum. In addition to the rich variety of spectra, we find that some steady states exhibit normal modes that contain multiple frequencies. Our results explain recent experiments on synthetic antiferromagnets and provide guidance for designing experiments that can explore previously unseen phenomena in these systems.
Comments31 pages (preprint), 6 figures
