论文标题
与各向异性跳跃的立方晶格上的玻色 - 哈伯德模型的量子相变
Quantum phase transition of the Bose-Hubbard model on cubic lattice with anisotropic hopping
论文作者
论文摘要
在量子多体系统中，维度在量子相变的类型中起着关键作用。为了研究尺寸交叉期间的量子系统，我们通过使用高阶符号强耦合膨胀方法研究了双方晶格上的Bose-Hubbard模型。分析系列扩展了Mott-unsulator和超氟中阶段之间的边界，最高到第八阶。临界指数是通过PADé重新启动方法提取的，该方法清楚地显示了维数交叉行为。同时，还可以获得相应填充的临界点，并且与重新归一化群体理论的预测很好地匹配。终于给出了间隙能量和整个相图的缩放，可以将它们作为实验和数值模拟的基准。
In quantum many-body system, dimensionality plays a critical role on type of the quantum phase transition. In order to study the quantum system during dimensional crossover, we studied the Bose-Hubbard model on cubic lattice with anisotropic hopping by using the high order symbolic strong coupling expansion method. The analytic series expanded boundaries between the Mott-insulator and superfluid phase up to eighth order are calculated. The critical exponents are extracted by Padé re-summation method, which clearly shows the dimensional crossover behavior. Meanwhile, the critical points at commensurate filling can also be obtained, and they match well with the prediction of renormalization group theory. The scaling of the gap energy and whole phase diagram are given at last, and they can be taken as the benchmark for experiment and numerical simulations in the future study.
