论文标题
观察非热带的任意拓扑绕组
Observation of arbitrary topological windings of a non-Hermitian band
论文作者
论文摘要
非铁官系统能量带中的非平凡拓扑特征提供了有希望的途径,以实现经典或量子开放系统中强大的身体行为。非热系统独有的关键拓扑特征是复杂能量平面中能带的非平凡绕组。在这里,我们通过沿着经过同时进行相位和振幅调制的环谐振器形成的频率合成维度以及直接表征复杂的带结构的频率合成维度,并直接表征这种非平凡的绕组绕组的直接实验演示。此外,我们表明可以通过更改调制波形来直接控制拓扑绕组。我们的结果为非保守系统中拓扑非平凡阶段的实验合成和表征开辟了途径。
The non-trivial topological features in the energy band of non-Hermitian systems provide promising pathways to achieve robust physical behaviors in classical or quantum open systems. A key topological feature, unique to non-Hermitian systems, is the non-trivial winding of the energy band in the complex energy plane. Here we provide direct experimental demonstrations of such non-trivial winding, by implementing non-Hermitian lattice Hamiltonians along a frequency synthetic dimension formed in a ring resonator undergoing simultaneous phase and amplitude modulations, and by directly characterizing the complex band structures. Moreover, we show that the topological winding can be straightforwardly controlled by changing the modulation waveform. Our results open a pathway for the experimental synthesis and characterization of topologically non-trivial phases in non-conservative systems.