Topological Phase Transition in the Non-Hermitian Coupled Resonator Array.,Physical Review Letters

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Topological Phase Transition in the Non-Hermitian Coupled Resonator Array.
Physical Review Letters ( IF 8.1 ) Pub Date : 2020-07-01 , DOI: 10.1103/physrevlett.125.013902
Yutian Ao ₁ , Xiaoyong Hu _{1,

2,

3} , Yilong You ₁ , Cuicui Lu ₄ , Yulan Fu ₅ , Xingyuan Wang ₆ , Qihuang Gong _{1,

2,

3}

Affiliation

In a two-dimensional non-Hermitian topological photonic system, the physics of topological states is complicated, which brings great challenges for clarifying the topological phase transitions and achieving precise active control. Here, we prove the topological phase transition exists in a two-dimensional parity-time-symmetric coupled-resonator optical waveguide system. We reveal the inherent condition of the appearance of topological phase transition, which is described by the analytical algebraic relation of coupling strength and the quantity of gain-loss. In this framework, the system can be switched between the topological and trivial states by pumping the site rings. This work provides a new degree of freedom to control topological states and offers a scheme for studying non-Hermitian topological photonics.

中文翻译：

非赫米特耦合谐振器阵列中的拓扑相变。

在二维非Hermitian拓扑光子系统中，拓扑状态的物理过程很复杂，这对阐明拓扑相变和实现精确的主动控制提出了巨大的挑战。在此，我们证明了二维奇偶时间对称耦合谐振器光波导系统中存在拓扑相变。我们揭示了拓扑相变出现的内在条件，这由耦合强度和增益损耗量的解析代数关系描述。在此框架中，可以通过泵送站点环来在拓扑状态和琐碎状态之间切换系统。这项工作为控制拓扑状态提供了新的自由度，并为研究非Hermitian拓扑光子学提供了方案。

更新日期：2020-07-01

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