光晶格中超超冷原子的二维动力学
Two-Dimensional Dynamics of Ultracold Atoms in Optical Lattices
摘要：
我们分析了超冷原子在光晶格中的动力学行为。为了研究强相互作用、维数和晶格拓扑对输运性质的影响，我们考虑了二维正方晶格和六角晶格上具有任意强排斥作用的玻色子原子.在正方形晶格上，我们发现弱相互作用原子的绝缘行为和强相互作用的缓慢弛豫，即使当存在Mott平台时，这在一维中阻止了动力学。在六方晶格上，对于任何相互作用强度，质心都松弛到新的平衡。
英文摘要：
We analyze the dynamics of ultracold atoms in optical lattices induced by a sudden shift of the underlying harmonic trapping potential. In order to study the effect of strong interactions, dimensionality and lattice topology on transport properties, we consider bosonic atoms with arbitrarily strong repulsive interactions, on a two-dimensional square lattice and a hexagonal lattice. On the square lattice we find insulating behavior for weakly interacting atoms and slow relaxation for strong interactions, even when a Mott plateau is present, which in one dimension blocks the dynamics. On the hexagonal lattice the center of mass relaxes to the new equilibrium for any interaction strength.
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