TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.1.034
TI  - Practical realization of chiral nonlinearity for strong topological protection
PY  - 2025/01/27
UR  - https://scipost.org/SciPostPhys.18.1.034
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 1
SP  - 034
A1  - Guo, Xinxin
AU  - Jezequel, Lucien
AU  - Padlewski, Mathieu
AU  - Lissek, Hervé
AU  - Delplace, Pierre
AU  - Fleury, Romain
AB  - Nonlinear topology has been much less inquired compared to its linear counterpart. Existing advances have focused on nonlinearities of limited magnitudes and fairly homogeneous types. As such, the realizations have rarely been concerned with the requirements for nonlinearity. Here we explore nonlinear topological protection by determining nonlinear rules and demonstrate their relevance in real-world experiments. We take advantage of chiral symmetry and identify the condition for its continuation in general nonlinear environments. Applying it to one-dimensional topological lattices, we show possible evolution paths for zero-energy edge states that preserve topologically nontrivial phases regardless of the specifics of the chiral nonlinearities. Based on an acoustic prototype design with non-local nonlinearities, we theoretically, numerically, and experimentally implement the nonlinear topological edge states that persist in all nonlinear degrees and directions without any frequency shift. Our findings unveil a broad family of nonlinearities compatible with topological non-triviality, establishing a solid ground for future drilling in the emergent field of nonlinear topology.
ER  -

@Article{10.21468/SciPostPhys.18.1.034,
	title={{Practical realization of chiral nonlinearity for strong topological protection}},
	author={Xinxin Guo and Lucien Jezequel and Mathieu Padlewski and  Hervé Lissek and Pierre Delplace and Romain Fleury},
	journal={SciPost Phys.},
	volume={18},
	pages={034},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.1.034},
	url={https://scipost.org/10.21468/SciPostPhys.18.1.034},
}