Rydberg-atom quantum simulation and Chern-number characterization of a topological Mott insulator
Rydberg-atom quantum simulation and Chern-number characterization of a topological Mott insulator
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DOI：
10.1103/physreva.86.053618
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发表时间：
2012-11-20
影响因子：
2.9
通讯作者：
Martin-Delgado, M. A.
中科院分区：
文献类型：
--
作者：
Dauphin, A.;Mueller, M.;Martin-Delgado, M. A.
在这项工作中，我们考虑了蜂窝晶格上具有最近和次近邻排斥哈伯德相互作用的无自旋费米子系统，并提出并分析了二维六边形光学晶格中冷原子模拟量子模拟的现实方案。为此，我们首先在平均场理论处理下推导出相互作用模型的零温度相图。我们发现，除了半金属相和电荷密度波有序相外，该系统还表现出一个量子反常霍尔相，它是动态产生的，即纯粹是排斥性费米子相互作用的结果，并且没有任何外部规范场。通过数值计算陈恩数，建立了这种动态生成的莫特绝缘相的拓扑性质，并研究了该相与其他具有局部序参量的相共存的可能性。基于平均场相图的知识，我们详细讨论了如何通过最先进的实验技术有效地设计相互作用的哈密顿量，用于激光修饰具有强偶极相互作用的电子激发里德伯态的冷费米子基态原子。
In this work we consider a system of spinless fermions with nearest and next-to-nearest neighbor repulsive Hubbard interactions on a honeycomb lattice, and propose and analyze a realistic scheme for analog quantum simulation of this model with cold atoms in a two-dimensional hexagonal optical lattice. To this end, we first derive the zero-temperature phase diagram of the interacting modelwithin a mean-field theory treatment. We show that besides a semimetallic and a charge-density-wave ordered phase, the system exhibits a quantum anomalous Hall phase, which is generated dynamically, i.e., purely as a result of the repulsive fermionic interactions and in the absence of any external gauge fields. We establish the topological nature of this dynamically created Mott-insulating phase by the numerical calculation of a Chern number, and we study the possibility of coexistence of this phase with any of the other phases characterized by local order parameters. Based on the knowledge of the mean-field phase diagram, we then discuss in detail how the interacting Hamiltonian can be engineered effectively by state-of-the-art experimental techniques for laser dressing of cold fermionic ground-state atoms with electronically excited Rydberg states that exhibit strong dipolar interactions.