We investigate the topological and nontopological photonic states induced by the interchain coupling strength in a one-dimensional coupled circuit quantum electrodynamics chains system. In the case of strong coupling strength, we find that the original topologically nontrivial interface states of the system gradually disappear and finally become two nontopological impurity states. Meanwhile, two new topologically nontrivial interface states appear next to the two middle resonators. The processes can be clearly delineated by the energy eigenvalue spectrum and the state distributions of the system. Moreover, we present the phase diagram to illustrate the characteristics of phase transition of the system. Assisted by the lattice-based cavity input-output process, we can measure these photonic states, which are either localized or extended, in the steady state condition. Our scheme would be feasible for experimental implementation of topological and nontopological photonic states wi...

中文翻译：

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两个耦合电路量子电动力学链中的拓扑和非拓扑光子状态

我们研究由一维耦合电路量子电动力学链系统中链间耦合强度诱导的拓扑和非拓扑光子状态。在强耦合强度的情况下，我们发现系统的原始拓扑非平凡界面态逐渐消失，最终成为两个非拓扑杂质态。同时，两个新的拓扑非平凡的界面状态出现在两个中间谐振器旁边。可以通过能量特征值谱和系统的状态分布清楚地描述这些过程。此外，我们给出了相图来说明系统的相变特性。在基于晶格的腔体输入输出过程的协助下，我们可以测量这些光子状态，无论是局部的还是扩展的，在稳态条件下。我们的方案对于实验实现拓扑和非拓扑光子态具有可行性。