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arXiv · 2606.11225

Emergent Non-Hermitian Topology in Multi-Robot Network

Jielong Zhang·Guiju Duan·Tinggui Chen·Shengjie Zheng·Bozheng Xue·Baizhan Xia
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Abstract

Non-Hermitian (NH) topology has been extensively explored in wave and matter systems, typically relying on the routing of complex, non-reciprocal couplings in physical space. This work demonstrates the experimental realization of programmable NH topological phases within decentralized multi-robot networks. By digitally programming non-reciprocal interaction rules and establishing real-time state exchange among active robots, we observe emergent topological zero modes (TZMs) and NH skin effects in synthetic lattices spanning one to three dimensions. Dynamically tailoring non-reciprocal parameters enables the precise morphing of TZMs between localized and delocalized states, establishing a versatile framework for topological mode engineering across dimensionalities. This platform establishes multi-robot networks as highly reconfigurable systems for exploring non-equilibrium topological physics, while paving the way for topologically protected, robust collective behaviors in active matter.

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Jielong Zhang, Guiju Duan, Tinggui Chen, Shengjie Zheng, Bozheng Xue, Baizhan Xia. 2026-05-28. Emergent Non-Hermitian Topology in Multi-Robot Network. https://arxiv.org/abs/2606.11225

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