Fractional quantum Hall (FQH) states are known for their robust topological order and possess properties that are appealing for applications in fault-tolerant quantum computing. An engineered quantum platform would provide opportunities to operate FQH states without an external magnetic field and enhance local and coherent manipulation of these exotic states. We demonstrate a lattice version of photon FQH states using a programmable on-chip platform based on photon blockade and engineering gauge fields on a two-dimensional circuit quantum electrodynamics system. We observe the effective photon Lorentz force and butterfly spectrum in the artificial gauge field, a prerequisite for FQH states. After adiabatic assembly of Laughlin FQH wave function of 1/2 filling factor from localized photons, we observe strong density correlation and chiral topological flow among the FQH photons. We then verify the unique features of FQH states in response to external fields, including the incompressibility of generating quasiparticles and the smoking-gun signature of fractional quantum Hall conductivity. Our work illustrates a route to the creation and manipulation of novel strongly correlated topological quantum matter composed of photons and opens up possibilities for fault-tolerant quantum information devices.

中文翻译：

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利用相互作用光子实现分数量子霍尔态

分数量子霍尔 (FQH) 态以其强大的拓扑序而闻名，并拥有对容错量子计算应用有吸引力的特性。工程量子平台将提供在没有外部磁场的情况下操作 FQH 态的机会，并增强对这些奇异态的局部和相干操纵。我们使用基于二维电路量子电动力学系统上的光子封锁和工程规范场的可编程片上平台演示了光子 FQH 态的晶格版本。我们在人工规范场中观察到有效光子洛伦兹力和蝶形光谱，这是 FQH 态的先决条件。从局域光子绝热组装 1/2 填充因子的 Laughlin FQH 波函数后，我们观察到 FQH 光子之间强密度相关性和手性拓扑流。然后，我们验证了 FQH 态响应外部场的独特特征，包括生成准粒子的不可压缩性和分数量子霍尔电导率的确凿证据。我们的工作阐明了创建和操纵由光子组成的新型强相关拓扑量子物质的途径，并为容错量子信息设备开辟了可能性。