一维非线性双色超晶格中的拓扑非平凡态
Topologically nontrivial states in one-dimensional nonlinear bichromatic superlattices
摘要：
研究了一维非线性双色超晶格的拓扑性质，揭示了非线性对拓扑态的影响。我们发现存在非平凡的边缘孤子，它分布在晶格的边界上，其化学势位于线性间隙区，并且对超晶格势的相位参数敏感。我们进一步证明了非线性Bloch带的拓扑性质可以用定义在扩展的二维参数空间中的拓扑Chern数来刻画。此外，我们还讨论了非线性超晶格中非线性Bloch波与间隙孤子之间的组成关系。研究了边缘孤子的稳定性。
英文摘要：
We study topological properties of one-dimensional nonlinear bichromatic superlattices and unveil the effect of nonlinearity on topological states. We find the existence of nontrivial edge solitions, which distribute on the boundaries of the lattice with their chemical potential located in the linear gap regime and are sensitive to the phase parameter of the superlattice potential. We further demonstrate that the topological property of the nonlinear Bloch bands can be characterized by topological Chern numbers defined in the extended two-dimensional parameter space. In addition, we discuss that the composition relations between the nolinear Bloch waves and gap solitions for the nonlinear superlattices. The stabilities of edge solitons are also studied.
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