论文标题
用准周期驱动的量子探索2D合成量子厅物理
Exploring 2D synthetic quantum Hall physics with a quasi-periodically driven qubit
论文作者
论文摘要
预测，准周期驱动的量子系统将表现出量化的拓扑特性，类似于拓扑绝缘体的量化运输特性。我们在钻石中使用单个氮存道中心，通过两色调驱动器来实验研究合成量子厅效应。我们测量两个量子状态的轨迹的演变，最初是在合成相空间中附近点制备的。我们通过预测的重叠振荡以与Chern数成正比的量化基本频率来检测合成厅的效应，该频率与Chern数成正比，这表征了系统的拓扑阶段。我们进一步观察了在合成霍尔制度和琐事状态之间过渡时Chern数的半定量，以及在合成相空间中局部浆果曲率的相关浓度。我们的工作打开了使用驱动量子器来设计和研究合成维度中的更高尺寸的拓扑绝缘子和半金属的可能性。
Quasi-periodically driven quantum systems are predicted to exhibit quantized topological properties, in analogy with the quantized transport properties of topological insulators. We use a single nitrogen-vacancy center in diamond to experimentally study a synthetic quantum Hall effect with a two-tone drive. We measure the evolution of trajectories of two quantum states, initially prepared at nearby points in synthetic phase space. We detect the synthetic Hall effect through the predicted overlap oscillations at a quantized fundamental frequency proportional to the Chern number, which characterizes the topological phases of the system. We further observe half-quantization of the Chern number at the transition between the synthetic Hall regime and the trivial regime, and the associated concentration of local Berry curvature in synthetic phase space. Our work opens up the possibility of using driven qubits to design and study higher-dimensional topological insulators and semi-metals in synthetic dimensions.
