Topological state engineering via supersymmetric transformations
Topological state engineering via supersymmetric transformations
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DOI：
10.1038/s42005-020-0316-4
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发表时间：
2020-03-12
影响因子：
5.5
通讯作者：
Szameit, Alexander
中科院分区：
文献类型：
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作者：
Queralto, Gerard;Kremer, Mark;Szameit, Alexander
超对称性是为了解释高能粒子物理学而建立的，此后被用来描述许多领域中对称性和拓扑学之间的相互作用。在这里，超对称变换的理论和实验表明，在光子晶体中的拓扑结构的破坏和恢复。寻求探索新的技术来操纵拓扑状态的同时，促进了拓扑物理学的更深入的理解，并在确定新的方法来利用其独特的功能是必不可少的。在这里，我们研究了超对称变换系统地解决，改变和重新配置系统的拓扑特性的潜力。为此，我们从理论和实验上研究了超对称变换对光子晶格中拓扑保护态的影响。特别是，我们展示了如何超磁感应相变可以选择性地暂停和重新建立特定状态的拓扑保护。此外，我们揭示了如何理解内部对称性和超对称变换的对称性约束之间的相互作用，提供了一个路线图，直接访问系统的理想拓扑特性。我们的研究结果铺平了道路，建立超自然启发的技术作为一个强大的和通用的工具，拓扑状态工程。
Established to explain high-energy particle physics, supersymmetry has since been invoked to describe the interplay between symmetry and topology in numerous fields. Here, supersymmetric transformations are shown theoretically and experimentally to destroy and restore topology in a photonic crystal.The quest to explore new techniques for the manipulation of topological states simultaneously promotes a deeper understanding of topological physics and is essential in identifying new ways to harness their unique features. Here, we examine the potential of supersymmetric transformations to systematically address, alter and reconfigure the topological properties of a system. To this end, we theoretically and experimentally study the changes that topologically protected states in photonic lattices undergo as supersymmetric transformations are applied to their host system. In particular, we show how supersymmetry-induced phase transitions can selectively suspend and re-establish the topological protection of specific states. Furthermore, we reveal how understanding the interplay between internal symmetries and the symmetry constraints of supersymmetric transformations provides a roadmap to directly access the desirable topological properties of a system. Our findings pave the way for establishing supersymmetry-inspired techniques as a powerful and versatile tool for topological state engineering.