We systematically study the indirect interaction between a magnon mode and a cavity photon mode mediated by traveling photons of a waveguide. From a general Hamiltonian, we derive the effective coupling strength between two separated modes, and obtain the theoretical expression of system’s transmission. Accordingly, we design an experimental set-up consisting of a shield cavity photon mode, a microstrip line and a magnon system to test our theoretical predictions. From measured transmission spectra, indirect interaction, as well as mode hybridization, between two modes can be observed. All experimental observations support our theoretical predictions. In this work, we clarify the mechanism of traveling photon mediated interactions between two separate modes. Even without spatial mode overlap, two separated modes can still couple with each other through their correlated dissipations into a mutual traveling photon bus. This conclusion may help us understand the recently discovered dissipative coupling effect in cavity magnonics systems. Additionally, the physics and technique developed in this work may benefit us in designing new hybrid systems based on the waveguide magnonics.

中文翻译：

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行进的光子介导的磁振子模式和腔光子模式之间的相互作用

我们系统地研究了由波导的传播光子介导的磁振子模式和腔光子模式之间的间接相互作用。从一般的哈密顿量，我们得出两个分离模式之间的有效耦合强度，并获得系统传递的理论表达式。因此，我们设计了一个由屏蔽腔光子模式，微带线和磁振子系统组成的实验装置，以测试我们的理论预测。从测量的透射光谱中，可以观察到两种模式之间的间接相互作用以及模式杂交。所有实验观察都支持我们的理论预测。在这项工作中，我们阐明了两个独立模式之间的传播光子介导的相互作用的机制。即使没有空间模式重叠，两种分离的模式仍然可以通过它们相关的耗散彼此耦合成相互传播的光子总线。这一结论可以帮助我们理解腔磁系统中的最近发现的耗散耦合效应。此外，这项工作中开发的物理学和技术可能会有益于我们设计基于波导磁振子的新型混合系统。