Anomalous quantized nonlinear soliton pumping

Nature Communications, Published online: 22 May 2026; doi:10.1038/s41467-026-73460-y Nonlinear soliton pumping has recently been observed and understood as the flow of instantaneous Wannier functions. Here, authors find an anomalous nonlinear soliton pump that differs from the linear Chern numbers, arising from soliton transitions between Wannier functions via intersite solitons.