Quantized soliton pumping governed by high-dimensional Chern numbers (IMAGE)
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Conceptual illustration of quantized soliton pumping in a time-modulated two-dimensional lattice. The soliton moves continuously during a driving cycle, and its trajectory is depicted by snapshots at selected times. The net two-dimensional displacement accumulated per cycle is determined by distinct-order topological invariants, including the first and second Chern numbers.
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