论文标题

量子自旋链中的边缘状态:相互作用,梯度磁场和浮球工程之间的相互作用

Edge states in quantum spin chains: the interplay among interaction, gradient magnetic field and Floquet engineering

论文作者

Liu, Wenjie, Zhu, Bo, Zhang, Li, Ke, Yongguan, Lee, Chaohong

论文摘要

我们探索在有限的Heisenberg自旋链中自旋相互作用引起的边缘缺陷。通过引入梯度磁场和定期调节的自旋交换强度,调制频率和磁场梯度之间的共振还可以在边缘诱发不对称的缺陷,被称为Floquet-Wannier-Zeeman-Zeeman边缘缺陷。这两种类型的边缘缺陷之间的相互作用使我们能够从隔离带中操纵镁质边缘状态到连续体。在高频制度中,我们通过采用多尺度扰动分析来分析有效的模型来解释边缘状态的形成机制。我们的研究提供了新的见解,以理解和控制由自旋旋转相互作用引起的边缘缺陷和FloQuet-Wannier-Zeman操纵所引起的边缘缺陷所支配的镁质边缘状态。

We explore the edge defects induced by spin-spin interaction in a finite paradigmatic Heisenberg spin chain. By introducing a gradient magnetic field and a periodically-modulated spin-exchange strength, the resonance between modulation frequency and magnetic field gradient can also induce asymmetric defects at the edges, dubbed as Floquet-Wannier-Zeeman edge defects. The interplay between these two types of edge defects allows us to manipulate the magnon edge states from an isolated band into a continuum one. In the high-frequency regime, we analytically derive effective models to interpret the formation mechanisms for edge states by employing the multiscale perturbation analysis. Our study offers new insights to understand and control the magnon edge states governed by the interplay between edge defects induced by the spin-spin interaction and the Floquet-Wannier-Zeeman manipulation.

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