Breakdown of quantization in nonlinear Thouless pumping

Abstract

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.

26 pages, 9 figures. Published in NJP

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Cited by in corpus (9)

• Nonlinear Thouless Pumping of Solitons Across an Impurity
• Nonlinearity-induced Fractional Thouless Pumping of Solitons
• Transport of Vector Solitons in Spin-Dependent Nonlinear Thouless Pumps
• Anomalous bulk-edge correspondence of nonlinear Rice-Mele model
• Nonadiabatic nonlinear non-Hermitian quantized pumping
• Fractional Thouless pumping of solitons: a unique manifestation of bulk-edge correspondence of nonlinear eigenvalue problems
• Quantum theory of fractional topological pumping of lattice solitons
• Soliton Pumping in the Rice-Mele Model with On-Cell Kerr Nonlinearity
• Nonreciprocity Induced Fractional Nonlinear Thouless Pumping