论文标题
拓扑终端状态的动力鲁棒性在非重新核心Su-Schrieffer-Heeger模型的开放边界条件
Dynamical robustness of topological end states in nonreciprocal Su-Schrieffer-Heeger models with open boundary conditions
论文作者
论文摘要
对于非热量量子模型，显然不是由静态特性（例如，复杂的能量谱）所反映的，因为正确特征向量的非正交性，时间演化的非白血性，绝热理论的崩溃等，但是在实验中，最初使用的时间进化是常见的。在这里，我们关注在开放边界条件下非偏型Su-Schrieffer-Heeger模型中初始末端状态的动态，并且我们发现它在动态上比其Hermitian对应物动态更强大，因为非舒适的皮肤效应可以抑制零件泄漏到大量站点。为了观察到这一点，我们提出了一个只有几个被动电感器和电容器的经典电路，建立了量子模型的映射。这项工作解释了非炎性皮肤效应如何增强拓扑终端状态的鲁棒性，并通过古典电路提供了一种简单的方法，即研究非级别量子动力学，这可能会刺激其他平台中非热模型的更动力学研究。
For non-Hermitian quantum models, the dynamics is apparently not reflected by the static properties, e.g., the complex energy spectrum, because of the nonorthogonality of the right eigenvectors, the nonunitarity of the time evolution, the breakdown of the adiabatic theory, etc., but in experiments the time evolution of an initial state is commonly used. Here, we pay attention to the dynamics of an initial end state in nonreciprocal Su-Schrieffer-Heeger models under open boundary conditions, and we find that it is dynamically more robust than its Hermitian counterpart, because the non-Hermitian skin effect can suppress the part leaking to the bulk sites. To observe this, we propose a classical electric circuit with only a few passive inductors and capacitors, the mapping of which to the quantum model is established. This work explains how the non-Hermitian skin effect enhances the robustness of the topological end state, and it offers an easy way, via the classical electric circuit, of studying the nonreciprocal quantum dynamics, which may stimulate more dynamical studies of non-Hermitian models in other platforms.
