论文标题
非线性泵送中量化的分解
Breakdown of quantization in nonlinear Thouless pumping
论文作者
论文摘要
最近，以弱和强的非线性强度探索了以非线性泵驱动的孤子动力以及其与系统拓扑的联系。这项工作揭示了中等非线性方案中非线性泵送的命运，从而从观察到非零的观察到弱非线性的量化和量化弱泵送到强烈非线性的零抽水，从而建立了一个引人入胜的交叉。我们确定了临界非线性强度的存在，在该强度下，无论协议时间尺度如何，量子的量化泵都会分解。这种对泵送量化的阻塞归因于非线性拓扑带的环结构的存在。我们的结果不仅在非线性泵送中揭示了一块缺失的物理学，而且还提供了一种方法来检测实际空间中研究的非线性系统的环结构。
The dynamics of solitons driven in a nonlinear Thouless pump and its connection with the system's topology were recently explored for both weak and strong nonlinear strength. This work uncovers the fate of nonlinear Thouless pumping in the regime of intermediate nonlinearity, thus establishing a fascinating crossover from the observation of nonzero and quantized pumping at weak nonlinearity to zero pumping at strong nonlinearity. We identify the presence of critical nonlinearity strength at which quantized pumping of solitons breaks down regardless of the protocol time scale. Such an obstruction to pumping quantization is attributed to the presence of loop structures of nonlinear topological bands. Our results not only unveil a missing piece of physics in nonlinear Thouless pumping, but also provide a means to detect loop structures of nonlinear systems investigated in real space.
