标题： 使用超冷原子观察高阶拓扑连续谱中的束缚态 显示英文标题

标题： Observation of Higher-order Topological Bound States in the Continuum using Ultracold Atoms

摘要： 在合成量子物质中模拟高阶拓扑材料是当前一个活跃的研究前沿，因其在基础物理中的理论意义以及在量子技术中的应用前景而受到关注。 在这里，我们通过使用超冷的87Rb原子，实验上实现了具有高度可编程能力的二维（2D）动量晶格。 通过精确控制实验参数，我们利用该技术模拟了一个二维Su-Schrieffer-Heeger模型，并观察到了角态和边态的特征动力学行为，其中角态被识别为连续谱中的高阶拓扑束缚态。 我们进一步研究了通过时间依赖哈密顿量工程演化来制备角态的绝热过程。 我们还通过测量体拓扑不变量和拓扑角态，展示了高阶拓扑相变。 我们的新平台为探索更高合成维度中的奇特动力学和拓扑特性开辟了道路，充分利用了冷原子系统的丰富自由度。 显示英文摘要

摘要： Simulating higher-order topological materials in synthetic quantum matter is an active research frontier for its theoretical significance in fundamental physics and promising applications in quantum technologies. Here we experimentally implement two-dimensional (2D) momentum lattices with highly programmable ability using ultracold 87Rb atoms. Through precise control of experimental parameters, we simulate a 2D Su-Schrieffer-Heeger model with this technique, and observe the characteristic dynamics of corner and edge-bound states, where the corner state is identified as a higher-order topological bound state in the continuum. We further study the adiabatic preparation of the corner state by engineering evolutions with time-dependent Hamiltonians. We also demonstrate the higher-order topological phase transition by measuring both the bulk topological invariant and the topological corner state. Our new platform opens the avenue for exploring the exotic dynamics and topology in higher synthetic dimensions, making use of the rich degrees of freedom of cold atoms systems.