基于反馈控制的非牛顿拓扑力学超材料
Non-Newtonian Topological Mechanical Metamaterials Using Feedback Control
摘要：
本文介绍了一种不受牛顿动力学约束的拓扑力学超材料的设计方法。机械晶格中的单位单元受到主动反馈力的作用，主动反馈力通过自主控制器进行处理，预编程以实时生成所需的局部响应。作为一个例子，我们专注于量子Halfton模型，这是一个两带系统的方向复杂的耦合项，违反牛顿第三定律。我们证明了所需的拓扑相位，其特征在于手性边缘模式，可以实现在一个类似的机械系统，只有闭环控制。然后，我们表明，我们的方法能够实现，第一次，在机械超材料中的Haldom模型的修改版本。这里，复值耦合以晶格的相对边缘上的模式在相同方向上传播的方式被极化，并且通过反向传播的扩散体模来平衡。所提出的方法是通用和灵活的，并可用于实现任意的晶格参数，如非局部或非线性耦合，时间相关的潜力，非厄米动力学，和更多，在一个单一的平台上。
英文摘要：
We introduce a method to design topological mechanical metamaterials that are not constrained by Newtonian dynamics. The unit cells in a mechanical lattice are subjected to active feedback forces that are processed through autonomous controllers, pre-programmed to generate the desired local response in real-time. As an example, we focus on the quantum Haldane model, which is a two-band system with directional complex coupling terms, violating Newton's third law. We demonstrate that the required topological phase, characterized by chiral edge modes, can be achieved in an analogous mechanical system only with closed-loop control. We then show that our approach enables to realize, for the first time, a modified version of the Haldane model in a mechanical metamaterial. Here, the complex-valued couplings are polarized in a way that modes on opposite edges of a lattice propagate in the same direction, and are balanced by counter-propagating diffusive bulk modes. The proposed method is general and flexible, and could be used to realize arbitrary lattice parameters, such as non-local or nonlinear couplings, time dependent potentials, non-Hermitian dynamics, and more, on a single platform.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
