Material systems that reside far from thermodynamic equilibrium have the potential to exhibit dynamic properties and behaviours resembling those of living organisms. Here we realize a non-equilibrium material characterized by a bandgap whose edge is enslaved to the wavelength of an external coherent drive. The structure dynamically self-assembles into an unconventional pseudo-crystal geometry that equally distributes momentum across elements. The emergent bandgap is bestowed with lifelike properties, such as the ability to self-heal to perturbations and adapt to sudden changes in the drive. We derive an exact analytical solution for both the spatial organization and the bandgap features, revealing the mechanism for enslavement. This work presents a framework for conceiving lifelike non-equilibrium materials and emphasizes the potential for the dynamic imprinting of material properties through external degrees of freedom.

中文翻译：

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从属声子带隙在非平衡伪晶体中的出现

远离热力学平衡的物质系统有可能表现出类似于生物体的动态特性和行为。在这里，我们实现了一种非平衡材料，其特征是带隙，其带隙被束缚到外部相干驱动器的波长。该结构动态自组装成非常规的伪晶体几何形状，该几何形状均匀地将动量分布在各个元素之间。新兴的带隙具有栩栩如生的特性，例如能够自愈而自动摄动并适应驱动器突然变化的能力。我们导出了针对空间组织和带隙特征的精确分析解决方案，揭示了奴役的机制。