Quantum simulator with the ability to harness the dynamics of complex quantum systems has emerged as a promising platform for probing exotic topological phases. Since the flexibility offered by various controllable quantum systems has enabled to gain insight into quantum simulation of such complicated problems, analog quantum simulator has recently shown its feasibility to tackle problems of exploring topological phases. However, digital quantum simulation and detection of topological phases still remain elusive. Here, we develop and experimentally realize the digital quantum simulation of topological phase with a solid-state quantum simulator at room temperature. Distinct from previous works dealing with static topological phases, the topological phases emulated here are Floquet topological phases. Furthermore, we also illustrate the procedure of digitally simulating a quantum quench and observing the nonequilibrium dynamics of Floquet topological phases. By means of quantum quench, the 0- and {\pi}-energy topological invariants are unambiguously detected through measuring time-averaged spin polarizations. Our experiment opens up a new avenue to digitally simulate and detect Floquet topological phases with fast-developed programmable quantum simulators.

中文翻译：

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使用固态量子模拟器对 Floquet 拓扑相进行数字量子模拟

具有利用复杂量子系统动力学能力的量子模拟器已成为探测奇异拓扑相的有前途的平台。由于各种可控量子系统提供的灵活性使得能够深入了解此类复杂问题的量子模拟，模拟量子模拟器最近显示了其解决探索拓扑相问题的可行性。然而，拓扑相的数字量子模拟和检测仍然难以捉摸。在这里，我们在室温下使用固态量子模拟器开发并实验实现了拓扑相的数字量子模拟。与之前处理静态拓扑阶段的工作不同，这里模拟的拓扑阶段是 Floquet 拓扑阶段。此外，我们还说明了数字模拟量子猝灭和观察 Floquet 拓扑相的非平衡动力学的过程。通过量子猝灭，通过测量时间平均自旋极化明确检测到 0 和 {\pi} 能量拓扑不变量。我们的实验开辟了一条新途径，可以使用快速开发的可编程量子模拟器对 Floquet 拓扑相进行数字模拟和检测。