Dutt Avik, Yuan Luqi, Yang Ki Youl, Wang Kai, Buddhiraju Siddharth, Vučković Jelena, Fan Shanhui
Ginzton Laboratory and Department of Electrical Engineering, Stanford University, Stanford, CA, 94305, USA.
Department of Mechanical Engineering, Institute for Physical Science and Technology, University of Maryland, College Park, MD, 20742, USA.
Nat Commun. 2022 Jun 13;13(1):3377. doi: 10.1038/s41467-022-31140-7.
Synthetic dimensions have garnered widespread interest for implementing high dimensional classical and quantum dynamics on low-dimensional geometries. Synthetic frequency dimensions, in particular, have been used to experimentally realize a plethora of bulk physics effects. However, in synthetic frequency dimension there has not been a demonstration of a boundary which is of paramount importance in topological physics due to the bulk-edge correspondence. Here we construct boundaries in the frequency dimension of dynamically modulated ring resonators by strongly coupling an auxiliary ring. We explore various effects associated with such boundaries, including confinement of the spectrum of light, discretization of the band structure, and the interaction of boundaries with one-way chiral modes in a quantum Hall ladder, which exhibits topologically robust spectral transport. Our demonstration of sharp boundaries fundamentally expands the capability of exploring topological physics, and has applications in classical and quantum information processing in synthetic frequency dimensions.
合成维度已引起广泛关注，用于在低维几何结构上实现高维经典和量子动力学。特别是合成频率维度，已被用于通过实验实现大量的体物理效应。然而，在合成频率维度中，由于体边对应关系，尚未证明边界的存在，而边界在拓扑物理中至关重要。在这里，我们通过强耦合一个辅助环，在动态调制的环形谐振器的频率维度中构建边界。我们探索了与这种边界相关的各种效应，包括光频谱的限制、能带结构的离散化，以及边界与量子霍尔梯子中单向手征模式的相互作用，该量子霍尔梯子展现出拓扑鲁棒的频谱传输。我们对尖锐边界的证明从根本上扩展了探索拓扑物理的能力，并在合成频率维度的经典和量子信息处理中有应用。
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