在具有偶极相互作用的一维玻色哈伯德系统中,通过利用强耦合展开及微扰理论的方法,计算了偶极相互作用V与在位相互作用UI满足V〈0.36UI的区间内淬火后莫特绝缘态的动力学演化。研究发现在此区间基态对应平均填充为1的莫特绝缘态,在强排斥极限下,激发态可近似保留仅激发一对粒子空穴对的态。与标准的玻色哈伯德模型相比,偶极相互作用使得动量分布在演化过程中的振幅和周期增大且出现塌缩与恢复的特性。另外可见度随时间成周期振荡,在小V极限下,振荡的周期与偶极相互作用近似成正比。
Using the strong-coupling expansion and the perturbation theory, we calculate the dynamics of the quenched Mott-insulator state in one-dimensional Bose Hubbard system with dipolar interaction in the case of dipole-dipole interaction V and on-site interaction UI satisfying V〈0.36U1. In this regime, the ground state is the Mott-insulator with the filling factor being unit and in strong repulsive limits we consider the case of only one particle-hole pair being excited. Compared with the standard Bose-Hubbard model, the amplitude and period of the evolution of the momentum distribution increase with the dipole-dipole interaction and the phenomenon of collapse and revival appears. In addition, the time-dependent visibility is the periodic oscillation of which period increases linearly with the increase of the dipolar interaction in the small V limits.