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arXiv · 2601.02963

Soliton Pumping in the Rice-Mele Model with On-Cell Kerr Nonlinearity

Zhe Wang·Xi-Wang Luo·Bo-Ye Sun·Zheng-Wei Zhou
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Abstract

We investigate the Rice-Mele model with on-cell Kerr-type nonlinearities, where the interaction depends on the total particle number within each unit cell rather than on individual sites. This interaction enables a nontrivial interplay between topology and nonlinear dynamics in soliton pumping. In the weakly interacting regime, the ground-state soliton undergoes quantized Thouless pumping. At intermediate interaction strengths, soliton creation and annihilation break adiabaticity and disrupt quantized transport. In the strong-coupling regime, the coexistence of ground- and excited-state solitons leads to negligible coupling at energy crossings, giving rise to discrete time-translation symmetry breaking (DTTSB) in the soliton dynamics. Comparison of mean-field results with exact diagonalization along closed circular pumping paths confirms both the validity of the mean-field description and the robustness of DTTSB across different pumping trajectories. Our findings reveal how interaction-induced effects can fundamentally modify topological transport and suggest that these phenomena may be explored in cold-atom, photonic, and superconducting-circuit platforms.

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Zhe Wang, Xi-Wang Luo, Bo-Ye Sun, Zheng-Wei Zhou. 2026-01-06. Soliton Pumping in the Rice-Mele Model with On-Cell Kerr Nonlinearity. https://doi.org/10.1103/sdsw-kgtm

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