Collision Dynamics of Topologically Pumped Solitons
Abstract
Soliton pumping enables controlled transport of localized wave packets through the interplay between nonlinearity and band topology. Interactions between such wave packets provide an additional means to manipulate their localization and subsequent motion. Here, we investigate collisions of solitons in a driven bichromatic lattice, where solitons associated with bands of opposite Chern numbers are pumped toward one another. For intracomponent collisions, the soliton that dominates the collision survives as a localized outgoing wave packet, while the weaker one can lose its distinct localized identity. For intercomponent collisions, attractive interaction produces spatial locking, whereas repulsive interaction induces redistribution toward the lowest band and reverses the motion of the initially excited-band wave packet. Remarkably, for collisions between vector solitons with comparable initial intensities, the difference between their internal relative phases controls the collision outcome, favoring capture for in-phase preparation and re-separation for out-of-phase preparation. These results connect nonlinear scattering with subsequent topological pumping and identify initial intensity, intercomponent interaction, and relative phase as control parameters for manipulating localized transport within the same pumping protocol.
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BibTeX
@misc{mao2026collision,
title = {{Collision Dynamics of Topologically Pumped Solitons}},
author = {Ning Mao and Guang-Can Guo and Xi-Wang Luo},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29301},
eprint = {2610.29301},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29301},
}
RIS
TY - UNPB
TI - Collision Dynamics of Topologically Pumped Solitons
AU - Ning Mao
AU - Guang-Can Guo
AU - Xi-Wang Luo
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29301
UR - https://arxiv.org/abs/2610.29301
AB - Soliton pumping enables controlled transport of localized wave packets through the interplay between nonlinearity and band topology. Interactions between such wave packets provide an additional means to manipulate their localization and subsequent motion. Here, we investigate collisions of solitons in a driven bichromatic lattice, where solitons associated with bands of opposite Chern numbers are pumped toward one another. For intracomponent collisions, the soliton that dominates the collision survives as a localized outgoing wave packet, while the weaker one can lose its distinct localized identity. For intercomponent collisions, attractive interaction produces spatial locking, whereas repulsive interaction induces redistribution toward the lowest band and reverses the motion of the initially excited-band wave packet. Remarkably, for collisions between vector solitons with comparable initial intensities, the difference between their internal relative phases controls the collision outcome, favoring capture for in-phase preparation and re-separation for out-of-phase preparation. These results connect nonlinear scattering with subsequent topological pumping and identify initial intensity, intercomponent interaction, and relative phase as control parameters for manipulating localized transport within the same pumping protocol.
ER -