Witnessing edge modes in trimerized circuit quantum electrodyamic lattice

Xuedong Zhao, Yan Xing, Ji Cao, Wen-Xue Cui, Shujie Liu, Hong-Fu Wang
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Abstract

We propose a scheme to investigate and witness edge modes of general one-dimensional (1D) photonic trimers in a circuit quantum electrodynamic (QED) lattice. These in-gap edge modes are strictly and analytically solved and the criteria for their emergence are indicated respectively. Moreover, the energy spectrum of the system shows two different regimes characterized by a discrepancy in the number of edge modes. Specifically, while there are always a couple of edge modes only present at one single boundary in both the regimes, one of the regimes also shows another pair of edge modes localized on the opposite boundary. Furthermore, these edge modes are witnessed with the aid of continuous-time quantum walks and average photon number measurements. Our scheme provides a comprehensive method for studying the edge modes of matter.
见证三聚电路量子电晶格中的边缘模式
我们提出了一种研究和见证电路量子电动力学(QED)晶格中一般一维(1D)光子三聚体边缘模式的方案。我们对这些隙内边缘模式进行了严格的分析求解,并分别指出了它们出现的标准。此外,该系统的能谱显示出两种不同的状态,其特点是边缘模的数量存在差异。具体地说,虽然在这两种状态中,总是有几个边缘模仅出现在一个单一的边界上,但其中一种状态还显示出另一对边缘模定位在相反的边界上。此外,这些边缘模是借助连续时间量子行走和平均光子数测量来见证的。我们的方案为研究物质的边缘模提供了一种全面的方法。
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