我们在各种各样的外部潜力与冷原子在量信息和许多身体物理考察我们的最近的理论进展,例如泛音潜力, kagome 光格子,三角形的光格子,和蜂房格子。在泛音潜力的冷原子的许多身体物理在吝啬地的 Gross-Pitaevskii 方程的框架被调查。然后量阶段转变和在三角形的光格子的冷原子的强烈相关的效果,和蜂房格子上的交往的迪拉克费米子,被使用簇调查动态吝啬地的理论和连续时间量蒙特卡罗方法。我们也在 kagome 学习量旋转霍尔效果光格子。
We review our recent theoretical advances in quantum information and many body physics with cold atoms in various external potential, such as harmonic potential, kagome optical lattice, triangular optical lattice, and honeycomb lattice. The many body physics of cold atom in harmonic potential is investigated in the frame of mean-field Gross-Pitaevskii equation. Then the quantum phase transition and strongly correlated effect of cold atoms in triangular optical lattice, and the interacting Dirac fermions on honeycomb lattice, are investigated by using cluster dynamical mean-field theory and continuous time quantum Monte Carlo method. We also study the quantum spin Hall effect in the kagome optical lattice.