Topological orbital optical lattices with bosons

拓扑性质在相互作用的多体量子系统中的出现，迄今为止只是模糊地理解。使用玻色子原子装载到光学晶格中开辟了一个全新的，尚未探索的世界，即电子凝聚态中没有实现的相互作用拓扑多体量子系统。本论文的目标是实现和研究具有相互作用诱导拓扑激发的手征玻色-爱因斯坦凝聚体。拟议的研究是基于申请人与两个国际理论团队合作的两项最新工作。在这些工作中，两个现实的光学晶格的情况下，提出和研究，不产生拓扑性质的单个原子，而在许多相互作用的原子有趣的手征基态整流相互作用驱动的涡电流出现，表现出拓扑激发。该研究旨在通过研究Berry曲率和手性边缘态的存在来确定预测的拓扑特征。

The emergence of topological properties in interacting many-body quantum systems is only vaguely understood to date. The use of bosonic atoms loaded into optical lattices opens up an entirely new, yet unexplored world of interacting topological many-body quantum systems not realized in electronic condensed matter. The objective of this proposal is the implementation and study of chiral Bose-Einstein condensates with interaction-induced topological excitations. The proposed research is based upon two recent works of a collaboration of the applicant with two international theory teams. In these works two realistic optical lattice scenarios are proposed and studied, which do not yield topological properties for a single atom, while in the case of many interacting atoms intriguing chiral ground states with rectified interaction-driven vortical currents arise, which exhibit topological excitations. The proposed research aims to identify the predicted topological character via studying the Berry curvature and the presence of chiral edge states.