Stability of topologically protected edge states in nonlinear fiber loops
Stability of topologically protected edge states in nonlinear fiber loops
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DOI：
10.1103/physreva.100.063830
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发表时间：
2019-12-18
影响因子：
2.9
通讯作者：
Egorov, O. A.
中科院分区：
文献类型：
--
作者：
Bisianov, A.;Wimmer, M.;Egorov, O. A.
我们从理论上和实验上研究了全光子系统中对称保护的拓扑手性边缘态的存在性和稳定性，该系统模拟了克尔非线性存在下离散一维量子行走的 Floquet 动力学。该系统通过时间复用实现为两个长度略有不同且耦合强度动态可变的光纤环路。我们证明拓扑边缘态在中等强度下持续存在于非线性区域，尽管手性对称性突破了一定的功率阈值，但它们会经历不稳定，导致辐射进入体模式。最后，我们证明与体模的非线性相互作用可以作为拓扑边缘态的有效泵浦。
We study both theoretically and experimentally the existence and stability of symmetry-protected topological chiral edge states in an all-photonic system mimicking Floquet dynamics of a discrete one-dimensional quantum walk in the presence of Kerr nonlinearity. The system is realized via time multiplexing as two fiber loops of slightly different lengths with a dynamically variable coupling strength. We prove that topological edge states persist in the nonlinear regime for moderate intensities, despite chiral symmetry breaking Above a certain power threshold, they undergo destabilization, resulting in the radiation into the bulk modes. Finally, we show that the nonlinear interaction with bulk modes can serve as an effective pumping of the topological edge states.