标题： 通过动态规范场的拓扑相关束缚态 显示英文标题

标题： Topologically correlated bound states via a dynamical gauge field

摘要： 近年来在拓扑相方面的进展为材料科学和量子物理开辟了新的前沿。 然而，由于粒子相互作用与能带拓扑之间的复杂相互作用，它们在强关联系统中的出现仍不为人所知。 在这项工作中，我们考虑了一个基于冷原子的自旋依赖的Su-Schrieffer-Heeger模型，其中包含一个非厄米动态规范场（DGF），发现两种类型的拓扑相关束缚态可以从DGF中出现。 具体来说，由于DGF与非平凡单粒子拓扑之间的相互作用，出现了具有两种自旋种类共定位的边缘束缚态，而由于物种间能带反转的非平凡拓扑，出现了在晶格中扩展分布的体束缚态。 这些束缚态可以在相同的参数区域内共存，并相互竞争，导致不同的动力学特征。 这项工作弥合了传统能带拓扑与强关联物理之间的差距，为在量子系统中发现涌现的拓扑现象建立了一个新范式。 显示英文摘要

摘要： Recent advances in topological phases have opened new frontiers in materials science and quantum physics. However, their emergence in strongly correlated systems are less understood due to the complex interplay between particle interactions and band topology. In this work, we consider a cold-atom-based spin-dependent Su-Schrieffer-Heeger model with a non-Hermitian dynamical gauge field (DGF), where two kinds of topologically correlated bound states are found to emerge from the DGF. Specifically, edge bound states with co-localization of both spin species arise from the interplay between DGF and nontrivial single-particle topology, and bulk bound states with extended distribution in the lattice emerges from nontrivial topology of inter-species band inversion. These bound states can coexist in same parameter regimes and compete with each other, leading to distinguished dynamical signatures. This work bridges the gap between conventional band topology and strongly correlated physics, establishing a new paradigm for discovering emergent topological phenomena in quantum systems.