量子工程分数量子霍尔绝缘体中的任意子-杂质束缚态
Anyon-Impurity Bound States in Quantum-Engineered Fractional Chern Insulators
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中文总结 AI 辅助
该研究在量子工程分数量子霍尔绝缘体的 Harper-Hofstadter 模型中，结合分析与数值方法表征任意子-杂质束缚态，证明其结合能可测准空穴分数电荷，为任意子操控与编织提供可行实验路径。
中文摘要 AI 辅助
移动杂质是探测关联拓扑量子物质的有力手段，其通过周围介质的修饰作用，结合实际探测手段可获取复合体系的信息。受近期固态体系中任意子-杂质复合物观测，以及人工晶格系统中 Laughlin 型态实现的启发，我们在处于分数量子霍尔绝缘体（Fractional Chern Insulator, FCI）深区的相互作用 Harper-Hofstadter 模型中，研究移动杂质与单个钉扎准空穴间束缚态的形成。结合分析论证与大规模数值模拟，我们表征了混合任意子-杂质束缚态的结构、能量学与稳定性，表明在特定条件下其结合能可直接获取准空穴的分数电荷。我们进一步证明，通过外部调控准空穴钉扎势，该复合体系可被相干输运。研究结果为量子工程平台中任意子-杂质的可控操控建立了可行路径，为实验上可实现的编织方案提供了支持。
英文摘要
Mobile impurities provide a powerful means of probing correlated and topological quantum matter, through their dressing by the surrounding medium and the practical probes granting access to the resulting composite object. Motivated by the recent observation of anyon-impurity composites in the solid state, as well as recent realizations of Laughlin-type states in engineered lattice systems, we investigate the formation of a bound state between a mobile impurity and a single pinned quasihole in the interacting Harper-Hofstadter model deep in the fractional Chern insulator regime. Combining analytical arguments with large-scale numerical simulations, we characterize the structure, energetics, and stability of hybrid anyon-impurity bound states, and show that their binding energy provides direct access to the fractional charge of the quasihole under conditions that we identify. We further demonstrate that the composite object can be coherently transported by externally steering the quasihole pinning potential. Our results establish a realistic pathway for controlled anyon-impurity manipulation in quantum-engineered platforms, enabling experimentally feasible protocols for braiding.
