论文标题

在二维拉曼晶格中相关的Chern绝缘子:强耦合的四纤维领域理论的冷原子正规化

Correlated Chern insulators in two-dimensional Raman lattices: a cold-atom regularization of strongly-coupled four-Fermi field theories

论文作者

Ziegler, L., Tirrito, E., Lewenstein, M., Hands, S., Bermudez, A.

论文摘要

我们表明,在拉曼晶格中具有合成自旋轨道耦合的超冷原子可以用作多功能量子模拟器,以探索相关的Chern绝缘子与与(2+1)尺寸(2+1)尺寸的GROSS-neveu模型相关的相关Chern绝缘体与强耦合的四纤维纤维磁场理论之间的连接。 Exploiting this multidisciplinary perspective, we identify a large-$N$ quantum anomalous Hall (QAH) effect in absence of any external magnetic field, and use it to delimit regions in parameter space where these correlated topological phases appear, the boundaries of which are controlled by strongly-coupled fixed points of the four-Fermi relativistic field theory.我们进一步展示了QAH效应的强烈相互作用,如何让横向场中二维量子指南针模型描述的磁相。我们使用巨大的有效潜力对相图进行了详细描述,以及诸如投影纠缠对的变化技术。

We show that ultra-cold atoms with synthetic spin-orbit coupling in Raman lattices can be used as versatile quantum simulators to explore the connections between correlated Chern insulators and strongly-coupled four-Fermi field theories related to the Gross-Neveu model in (2+1) dimensions. Exploiting this multidisciplinary perspective, we identify a large-$N$ quantum anomalous Hall (QAH) effect in absence of any external magnetic field, and use it to delimit regions in parameter space where these correlated topological phases appear, the boundaries of which are controlled by strongly-coupled fixed points of the four-Fermi relativistic field theory. We further show how, for strong interactions, the QAH effect gives way to magnetic phases described by a two-dimensional quantum compass model in a transverse field. We present a detailed description of the phase diagram using the large-$N$ effective potential, and variational techniques such as projected entangled pairs.

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