标题： 边缘孤子的非线性拓扑泵浦 显示英文标题

标题： Nonlinear topological pumping of edge solitons

摘要： 我们研究了非线性强度如何通过非线性Gross-Pitaevskii方程影响边缘孤子的拓扑泵浦。对于弱非线性强度，引入非线性会破坏能谱的对称性，这使得从左边缘到右边缘的拓扑泵浦与逆过程不同。对于中等非线性强度，光谱中会出现自交叉结构，右到左的绝热泵浦通道被破坏，只有在缓慢调制下才能实现左到右的拓扑泵浦。随着非线性强度进一步增加，尽管在一个泵浦周期内左到右的拓扑泵浦也会崩溃，但我们发现位于单个左边缘的一个细小孤子可以与体孤子混合，并且在多个泵浦周期后可以实现边缘孤子和体孤子的混合拓扑泵浦。对于更强的非线性强度，边缘孤子会自我捕获，所有拓扑泵浦通道都会关闭。我们的工作可能会引发对非线性与拓扑相互作用的进一步研究。 显示英文摘要

摘要： We study how nonlinear strength affects topological pumping of edge solitons by using nonlinear Gross-Pitaevskii equation. For weak nonlinear strength, the introduction of nonlinearity breaks the symmetry of the energy spectrum, which makes the topological pumping from the left edge to the right edges differ from the inverse process. For moderate nonlinear strength, self-crossing structures appear in the spectrum, the right-to-left adiabatic pumping channel is destroyed, and only left-to-right topological pumping can be achieved under slow modulation. As the nonlinear strength further inreases, although left-to-right topological pumping in one pumping cycle also breaks down, we find that a thin soliton which is located in a single left edge can be mixed with the bulk soliton, and hybridized topological pumping of edge and bulk solitons can be realized after multiple pumping cycles. For stronger nonlinear strength, edge solitons are self-trapped and all topological pumping channels are shut down. Our work could trigger further studies of the interplay between nonlinearity and topology.