论文标题
巨型原子诱导的零模式和在非reciprocal su-schrieffer-heeger链中的定位
Giant atom induced zero modes and localization in the nonreciprocal Su-Schrieffer-Heeger chain
论文作者
论文摘要
具有皮肤效应的非热系统系统的一个值得注意的特征是它们的光谱和特征态对边界条件的敏感性。在文献中，探索了三种类型的边界条件 - 周期性边界条件，开放边界条件和系统中作为边界的缺陷。在这项工作中，我们介绍了巨大原子提供的其他类型的边界条件。巨大的原子夫妻夫妇在两个点上与非偏型SUSCHRIEFFER-HEEGER链条，并扮演缺陷的作用。我们研究系统本征状的频谱和定位，发现巨大原子可以诱导不对称的零模式。一个了不起的特征是，散装状态可能位于弱链接位置的左侧或右链 - 原子耦合位点。即使翻译不变性破裂，这种双极定位也会导致类似Bloch的状态。此外，我们发现，即使在强耦合方案中，该定位显然比两个小原子或开放边界条件的情况弱。这些有趣的结果表明，巨型原子与非近代SSH链的非局部偶联会削弱特征状态的定位。我们还表明，在真实空间中长期动态中的Lyapunov指数可以作为本地批量国家的见证。
A notable feature of non-Hermitian systems with skin effects is the sensitivity of their spectra and eigenstates to the boundary conditions. In the literature, three types of boundary conditions-periodic boundary condition,open boundary condition and a defect in the system as a boundary, are explored. In this work we introduce the other type of boundary condition provided by a giant atom. The giant atom couples to a nonreciprocal SuSchrieffer-Heeger chain at two points and plays the role of defects. We study the spectrum and localization of eigenstates of the system and find that the giant atom can induce asymmetric zero modes. A remarkable feature is that bulk states might localize at the left or the right chain-atom coupling sites in weak localization regimes. This bipolar localization leads to Bloch-like states, even though translational invariance is broken. Moreover, we find that the localization is obviously weaker than the case with two small atoms or open boundary conditions even in strong coupling regimes. These intriguing results indicate that nonlocal coupling of giant atom to a nonreciprocal SSH chain weakens localization of the eigenstates. We also show that the Lyapunov exponent in the long-time dynamics in real space can act as a witness of the localized bulk states.
