反常量子化非线性孤子泵浦
Anomalous quantized nonlinear soliton pumping.
摘要(中文译文)
最近，理论和实验均预测并观察到，当系统参数在一个泵浦周期内缓慢变化时，由非线性产生的孤子可以被泵浦跨越整数个或分数个元胞。非线性孤子泵浦现在被理解为瞬时Wannier函数的流动，这排除了当相应的Wannier函数不表现出任何流动时，即当孤子所分叉出的相应Bloch能带在拓扑上平庸时，孤子在一个周期内被泵浦跨越非零个元胞的可能性。在此，我们意外地发现了一种反常的非线性孤子泵浦，其中孤子在一个周期内的位移不同于孤子所来自的Bloch能带的陈数。我们表明，这种反常行为源于孤子通过经过格点间孤子（或偶极孤子）态而在不同Wannier函数之间的跃迁。此外，我们发现了一种非线性诱导的孤子整数量化泵浦，使得孤子即使当相应能带在拓扑上平庸时，也能在一个泵浦周期内跨越一个元胞。我们的结果开启了研究非线性诱导的孤子泵浦的大门。
Abstract
It has recently been theoretically predicted and experimentally observed that a soliton resulting from nonlinearity can be pumped across an integer or fractional number of unit cells as a system parameter is slowly varied over a pump period. Nonlinear soliton pumping is now understood as the flow of instantaneous Wannier functions, ruling out the possibility of pumping a soliton across a nonzero number of unit cells over one cycle when a corresponding Wannier function does not exhibit any flow, i.e., when the corresponding Bloch band that the soliton bifurcates from is topologically trivial. Here, we surprisingly find an anomalous nonlinear soliton pump where the displacement of a soliton over one cycle differs from the Chern number of the Bloch band from which the soliton comes. We show that this anomalous behavior arises from a transition of a soliton between different Wannier functions by passing through an intersite-soliton (or dipole-soliton) state. Furthermore, we find a nonlinearity-induced integer-quantized pump of a soliton, allowing a soliton to travel across one unit cell during a pump period, even when the corresponding band is topologically trivial. Our results open the door to studying nonlinearity-induced pumping of solitons.
如何引用
AMA
Yu-Liang Tao, Jiong-Hao Wang, Yong Xu. Anomalous quantized nonlinear soliton pumping.. Nature communications. 2026; doi:10.1038/s41467-026-73460-y.
APA
Yu-Liang Tao, Jiong-Hao Wang, Yong Xu (2026). Anomalous quantized nonlinear soliton pumping.. Nature communications. https://doi.org/10.1038/s41467-026-73460-y
GB/T 7714
Yu-Liang Tao, Jiong-Hao Wang, Yong Xu. Anomalous quantized nonlinear soliton pumping.[J]. Nature communications, 2026 doi:10.1038/s41467-026-73460-y.
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