论文标题
波袋在无序和非线性su-schrieffer-heeger链中扩散
Wave-packet spreading in the disordered and nonlinear Su-Schrieffer-Heeger chain
论文作者
论文摘要
我们从数值上研究了无序和非线性su-Schrieffer-Heeger模型中单位波小组激发的长期动力学的特征。在线性状态下，由于控制系统拓扑的参数是不同的，因此我们表明，与安德森在这些拓扑阶段内的本地化相反，两个不同拓扑阶段之间的过渡是异常的扩散。在存在现场非线性的情况下，由于模式模式相互作用，此功能丢失了。直接的数值模拟表明，在整个研究的参数空间中，渐近非线性波包扩散的特征是相同的。我们的发现强调了非线性拓扑系统中模式模式相互作用的重要性，必须研究这些模式，以定义可靠的非线性拓扑标记。
We numerically investigate the characteristics of the long-time dynamics of a single-site wave-packet excitation in a disordered and nonlinear Su-Schrieffer-Heeger model. In the linear regime, as the parameters controlling the topology of the system are varied, we show that the transition between two different topological phases is preceded by an anomalous diffusion, in contrast to Anderson localization within these topological phases. In the presence of on-site nonlinearity this feature is lost due to mode-mode interactions. Direct numerical simulations reveal that the characteristics of the asymptotic nonlinear wave-packet spreading are the same across the whole studied parameter space. Our findings underline the importance of mode-mode interactions in nonlinear topological systems, which must be studied in order to define reliable nonlinear topological markers.
