标题： 在Lieb晶格中使用Rydberg原子对拓扑Mott绝缘体的量子模拟 显示英文标题

标题： Quantum Simulation of a Topological Mott Insulator with Rydberg Atoms in a Lieb Lattice

摘要： 我们提出一种现实的方案，利用光学Lieb晶格中的冷原子来量子模拟迄今为止实验上尚未观察到的拓扑Mott绝缘体相——一种由相互作用驱动的拓扑绝缘体。为此，我们研究了一个无自旋费米子在Lieb晶格中的系统，表现出排斥性的最近邻和次近邻相互作用，并在平均场近似下推导出相关的零温相图。特别地，我们分析了相互作用如何动态地生成电荷密度波有序态、向列相以及拓扑非平凡的量子反常霍尔相。我们通过陈数表征不同相的拓扑性质，并讨论了相共存的可能性。基于所确定的相，我们提出了一种使用冷里德伯态修饰原子在光学晶格中的模型实现方案。该方案特别允许访问拓扑Mott绝缘体相，在参数空间中其精确位置无关，只需全局、持续开启的失谐激光耦合到里德伯态，并且可以用最先进的实验技术实现。 显示英文摘要

摘要： We propose a realistic scheme to quantum simulate the so-far experimentally unobserved topological Mott insulator phase -- an interaction-driven topological insulator -- using cold atoms in an optical Lieb lattice. To this end, we study a system of spinless fermions in a Lieb lattice, exhibiting repulsive nearest and next-to-nearest neighbor interactions, and derive the associated zero temperature phase diagram within mean-field approximation. In particular, we analyze how the interactions can dynamically generate a charge density wave ordered, a nematic as well as a topologically non-trivial quantum anomalous Hall phase. We characterize the topology of the different phases by the Chern number and discuss the possibility of phase coexistence. Based on the identified phases, we propose a realistic implementation of this model using cold Rydberg-dressed atoms in an optical lattice. The scheme, which allows one to access in particular the topological Mott insulator phase, robustly and independently of its exact position in parameter space, merely requires global, always-on off-resonant laser coupling to Rydberg states and is feasible with state-of-the-art experimental techniques.