We introduce a model system composed of elastically coupled one-dimensional chains of elastic rotators. The chains of rotators are analogous to elastic Su-Schrieffer–Heeger models. The coupled chain system is shown analytically and numerically to support an unusual number of topological properties such as Dirac degeneracies, band inversion and topological transition as a function of the strength of the parameter coupling the chains, nonseparability of the modes' degrees of freedom along and across the coupled chains that are analogous to entangled Bell states in a multipartite quantum system. Finally, we reveal the formation of a synthetic dimension by allowing the coupling parameter to vary with time, which has the potential to create higher-dimensional synthetic space.

中文翻译：

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一维弹性旋转子链的拓扑性质

我们介绍了一个模型系统，该系统由弹性耦合的一维弹性旋转器链组成。旋转器链类似于弹性Su-Schrieffer-Heeger模型。通过分析和数字显示耦合链系统，以支持异常数量的拓扑特性，例如狄拉克简并性，能带反转和拓扑转变，这取决于耦合链的参数强度，模态自由度沿着和不分离的不可分性。跨越耦合链，类似于多部分量子系统中纠缠的贝尔状态。最后，我们通过允许耦合参数随时间变化来揭示合成维的形成，这有可能创建更高维的合成空间。