Topological insulating phases are primarily associated with condensed-matter systems, which typically feature short-range interactions. Nevertheless, many realizations of quantum matter can exhibit long-range interactions, and it is still largely unknown the effect that these latter may exert upon the topological phases. In this Letter, we investigate the Su-Schrieffer-Heeger topological insulator in the presence of long-range interactions. We show that this model can be readily realized in quantum simulators with trapped ions by means of a periodic driving. Our results indicate that the localization of the associated edge states is enhanced by the long-range interactions, and that the localized components survive within the ground state of the model. These effects could be easily confirmed in current state-of-the-art experimental implementations.

中文翻译：

---

周期性驱动的俘获离子链的拓扑边缘状态

拓扑绝缘相主要与凝结物系统相关，凝结物系统通常具有短程相互作用。然而，量子物质的许多实现都可以表现出长程相互作用，并且仍然很大程度上未知这些物质可能对拓扑相产生的影响。在这封信中，我们研究了存在长距离相互作用的Su-Schrieffer-Heeger拓扑绝缘子。我们表明，该模型可以通过周期性驱动在带有捕获离子的量子模拟器中轻松实现。我们的结果表明，通过远程交互作用，关联的边缘状态的定位得到了增强，并且本地化的组件在模型的基态内得以生存。这些影响可以在当前最新的实验实现中轻松确认。