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Topological Phase Transition and Topological Quantum State Transfer in Periodically Modulated Circuit-QED Lattice
Annalen Der Physik ( IF 2.2 ) Pub Date : 2021-07-05 , DOI: 10.1002/andp.202100120
Ji Cao 1 , Wen‐Xue Cui 2 , Xuexi Yi 1 , Hong‐Fu Wang 1, 2
Affiliation  

The topological properties of a circuit-QED lattice are studied and it is found that the system undergoes a topological phase transition accompanied by the changes of Chern numbers from 2 to −1. For different lattice sizes, the energy eigenvalue spectra and the probability distributions of edge states are shown. Moreover, it is revealed that, depending on the strictly adiabatic evolution of the time-dependent Hamiltonian, several different topological quantum state transfers between the first two sites and the last two sites can be achieved by employing the topologically protected edge states as the transfer channels. Further, it is demonstrated that, by using resonator-based input–output process, the photonic topological edge state can be detected by measuring the average photon number in the steady state. The scheme opens up a new prospect for investigating the potential application of topological matter in quantum information processing.

中文翻译:

周期性调制电路-QED晶格中的拓扑相变和拓扑量子态转移

研究了电路-QED 晶格的拓扑性质,发现系统经历了拓扑相变,伴随着陈数从 2 到 -1 的变化。对于不同的晶格尺寸,显示了能量特征值谱和边缘状态的概率分布。此外,研究表明,依赖于时间相关哈密顿量的严格绝热演化,通过采用拓扑保护的边缘态作为传输通道,可以实现前两个位点和后两个位点之间的几种不同拓扑量子态转移. 此外,证明了通过使用基于谐振器的输入-输出过程,可以通过测量稳态下的平均光子数来检测光子拓扑边缘状态。
更新日期:2021-09-13
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