AI 中文总结
该研究在合成频率光子平台中提出拓扑与临界性共存的临界拓扑光子态，在一维合成晶格中通过单粒子纠缠谱的隙中简并识别该态并揭示拓扑约束的多临界点，拓展至二维，为临界拓扑光子学提供实验途径并启发相关应用。
AI 中文摘要
长期以来，拓扑态与临界性被视为互斥的要素：前者要求有限的谱隙，后者则要求谱隙闭合。受此观点引导，拓扑光子学几乎仅聚焦于有能隙相，将谱隙闭合的相变仅视为相边界。本研究在实验可实现的合成频率光子平台中，提出一类拓扑态，其中拓扑与临界性共存。在一维合成晶格中，我们通过单粒子纠缠谱中的隙中简并识别此类临界拓扑光子态，并揭示受拓扑约束的多临界点，该点可重组相邻临界态的拓扑。我们进一步将此框架拓展至二维。本研究为临界拓扑光子学提供了实验可实现的途径，或可启发临界拓扑传感等新颖应用。
英文摘要
Topological states and criticality have long been regarded as incompatible ingredients: the former requires a finite spectral gap, whereas the latter demands its closure. Guided by this view, topological photonics has focused almost exclusively on gapped phases, treating gap-closing transitions as mere phase boundaries. In this work, we propose a class of topological states in which topology coexists with criticality in experimentally accessible synthetic-frequency photonic platforms. In a one-dimensional (1D) synthetic lattice, we identify such critical topological photonic states through midgap degeneracies in the single-particle entanglement spectrum, and uncover a topology-enforced multicritical point that reorganizes the topology of neighboring critical states. We further extend this framework to two dimensions (2D). Our work provides an experimentally accessible route to critical topological photonics, and may also inspire novel applications such as critical topological sensing.
Comments15 pages, 9 figures. Any comments or suggestions are welcome!
