Soliton Thouless pumping engineered by inter-site nonlinearities

Fuente: arXiv
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Main Authors: Jiang, Tao, Zhao, Li-Chen
Format: Preprint
Published: 2026
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author Jiang, Tao
Zhao, Li-Chen
author_facet Jiang, Tao
Zhao, Li-Chen
contents We study soliton Thouless pumping in an extended diagonal Aubry-André-Harper model with on-site nonlinearities and inter-site nonlinearities. We show that the inter-site nonlinearities can make solitons acquire anomalous transport distances far beyond the ones predicted by the linear bands, and the quantized displacements can be engineered well. We uncover that nonlinear instabilities require lower limits on sweeping rates for soliton pumping, challenging the common notion that slower modulation enables a more favorable realization of topological transport. The nonlinear interactions between solitons make multi-soliton pumping generally lack the robustness characteristic of Thouless pumping as linear systems. Our results provide many possibilities to engineer topological pumping by nonlinearities, and further make a step for applications of soliton pumping.
format Preprint
id arxiv_https___arxiv_org_abs_2601_01355
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Soliton Thouless pumping engineered by inter-site nonlinearities
Jiang, Tao
Zhao, Li-Chen
Pattern Formation and Solitons
Atomic Physics
Quantum Physics
We study soliton Thouless pumping in an extended diagonal Aubry-André-Harper model with on-site nonlinearities and inter-site nonlinearities. We show that the inter-site nonlinearities can make solitons acquire anomalous transport distances far beyond the ones predicted by the linear bands, and the quantized displacements can be engineered well. We uncover that nonlinear instabilities require lower limits on sweeping rates for soliton pumping, challenging the common notion that slower modulation enables a more favorable realization of topological transport. The nonlinear interactions between solitons make multi-soliton pumping generally lack the robustness characteristic of Thouless pumping as linear systems. Our results provide many possibilities to engineer topological pumping by nonlinearities, and further make a step for applications of soliton pumping.
title Soliton Thouless pumping engineered by inter-site nonlinearities
topic Pattern Formation and Solitons
Atomic Physics
Quantum Physics
url https://arxiv.org/abs/2601.01355