论文标题
通过空腔介导的相互作用的键顺序
Bond order via cavity-mediated interactions
论文作者
论文摘要
我们从数值上研究了玻色子的相图紧紧地捕获在光学晶格的最低带中，并分散耦合到单模腔场。该动力学由扩展的玻色式模型包含。在这里，空腔介导的相互作用通过具有全球范围的两体电位项来描述，并通过相关的隧道术语来描述跳跃幅度取决于全局可观察到的相关隧道术语。我们通过密度矩阵重新归一化组算法确定一个维度的基态性能，重点是由于相关隧道而引起的效果。后者负责债券订单的发作，以一个绝缘和两个无间隙键的顺序表现出来。我们讨论了与相关隧道系数的不同相对强度相对应的不同几何形状的所得阶段。我们最终分析了无间隙键有序阶段中纠缠熵的缩放，这些阶段完全是由于全局相互作用，并确定相应的中心电荷。
We numerically study the phase diagram of bosons tightly trapped in the lowest band of an optical lattice and dispersively coupled to a single-mode cavity field. The dynamics is encompassed by an extended Bose-Hubbard model. Here, the cavity-mediated interactions are described by a two-body potential term with a global range and by a correlated tunneling term where the hopping amplitude depends on a global observable. We determine the ground state properties in one dimension by means of the density matrix renormalization group algorithm, focusing on the effects due to the correlated tunneling. The latter is responsible for the onset of bond orders, manifesting in one insulating and two gapless bond ordered phases. We discuss the resulting phases for different geometries that correspond to different relative strengths of the correlated tunneling coefficient. We finally analyze the scaling of the entanglement entropy in the gapless bond ordered phases that appear entirely due to global interactions and determine the corresponding central charges.
