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Nonlinear Thouless Pumping: Solitons and Transport Breakdown

Nonlinear Thouless Pumping: Solitons and Transport Breakdown

One-dimensional topological pumping of matter waves in two overlaid optical lattices moving with respect to each other is considered in the presence of attractive nonlinearity. It is shown that there exists a threshold nonlinearity level above which the matter transfer is completely arrested. Below this threshold, the transfer of both …