论文标题
用倾斜偶极 - 偶极相互作用的硬核玻色子竞争量子阶段
Competing quantum phases of hard-core boson with tilted dipole-dipole interaction
论文作者
论文摘要
在这项工作中讨论了由偶极 - 偶极相互作用引起的硬核玻色子的不同量子阶段。由于平方晶格中现场玻色子的极化，我们考虑了两个最有影响力的领导术语，具有各向异性。为了确保这种截断的具体性，我们比较了我们的相图，这些相图是从群集平均场理论（CMFT）和无限投影的纠缠对态（IPEP）与量子蒙特卡洛的远距离相互作用模型的相结合。接下来，我们专注于方位角固定在$ ϕ =π/4 $的情况下。使用平均场分析，量子旋转操作员被$ c $ numbers取代，我们旨在寻找基础阶段，尤其是超固体。我们的结果表明，竞争的场景主要是在两个有序阶段之间具有不同大小的单位单元格之间的竞争，其中一阶过渡发生在它们之间。借助CMFT和变异IPEPS，更精确地确定了平均场理论预测的相边界。我们的发现阐明了在具有强偶极原子的超低实验中可能看到的可能的潜在超胚相。此外，我们的结果表明，可以通过微调方晶格中偶极子的极化来实现有效的三角光晶格。
Different quantum phases of hard-core boson induced by dipole-dipole interaction with varying angles of polarization are discussed in this work. We consider the two most influential leading terms with anisotropy due to the tilted polarization of the on-site boson in the square lattice. To ensure the concreteness of this truncation, we compare our phase diagrams, obtained numerically from cluster mean-field theory (CMFT) and infinite projected entangled-pair state (iPEPS), with that of the long-range interacting model from quantum Monte Carlo. Next, we focus on the case where the azimuthal angle is fixed to $ϕ= π/4$. Using the mean-field analysis where the quantum spin operators are replaced by $c$-numbers, we aim to search for the underlying phases, especially the supersolid. Our results show a competing scenario mainly between two ordered phases with different sizes of unit cell, where first-order transition takes place in between them. With the help of CMFT and variational iPEPS, the phase boundaries predicted by the mean-field theory are determined more precisely. Our discoveries elucidate the possible underlying supersolid phases which might be seen in the ultracold experiments with strongly dipolar atoms. Moreover, our results indicate that an effective triangular optical lattice can be realized by fine tuning the polarization of dipoles in a square lattice.
