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任意子-哈伯德模型中可调控的统计诱导囚禁

Tunable Statistics-Induced Caging in the Anyon-Hubbard Model

Zenong Zhou, Chaorong Guo, Hongzheng Wu, Qianglin Hu, Xiaobing Luo

arXiv 2608.15739首次发表:更新:

AI 中文总结

该研究针对任意子-哈伯德模型,通过 Floquet 工程动态恢复弱相互作用下的AB囚禁,实现任意子选择性囚禁,为操纵任意子和识别统计相位提供了有效途径。

AI 中文摘要

我们在四格点 plaquette( plaquette:格团)上的任意子-哈伯德模型中研究两个相互作用任意子的量子动力学,该系统可精确映射到玻色-哈伯德模型。我们发现,仅由特定统计相位诱导的静态阿哈罗诺夫-玻姆(AB)囚禁在强相互作用极限下出现,但在弱粒子间相互作用下会失效。为解决该问题,我们证明统计因子诱导的AB囚禁可通过 Floquet 工程动态恢复,该由合成 Floquet 通量和任意子统计相位调控的动态机制,将囚禁效应扩展到弱相互作用区域,覆盖统计相位的全谱。此外,我们表明外部驱动可实现任意子的选择性囚禁,为操纵任意子和识别统计相位提供了有效方法。

英文摘要

We study the quantum dynamics of two interacting anyons in the Anyon-Hubbard model on a four-site plaquette, a system that is exactly mappable to a Bose-Hubbard model. We reveal that static Aharonov-Bohm (AB) caging, induced by only specific statistical phases, emerges in the strongly interacting limit but breaks down under weak interparticle interactions. To address this, we demonstrate that statistical-factor-induced AB caging can be dynamically restored via Floquet engineering. This dynamical mechanism, governed by the synthetic Floquet flux and the anyonic statistical phase, extends the caging effect into the weakly interacting regime across the full spectrum of statistical phases. Furthermore, we show that the external drive enables the selective caging of anyons, providing an efficient approach for manipulating anyons and identifying statistical phases.

Comments10 pages, 8 figures

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