一维光晶格中自旋2玻色子的二聚和三聚相
Dimerized and trimerized phases for spin-2 Bosons in a one-dimensional optical lattice
摘要：
研究了自旋为2的玻色子在一维光晶格中的相图。通过非阿贝尔密度矩阵重整化群（DMRG）方法，我们确定了三种可能的相：铁磁相，二聚相和三聚相。我们基于DMRG绘制了相边界。我们说明了两种方法来识别的阶段。第一种方法是基于自旋-自旋关联函数，而在第二种方法中，观察到的激发间隙作为一个二聚或三聚超晶格是强加的。第二种方法的优点是它也可以很容易地在实验中实现。利用文献中的散射长度估计了$^{83}$ Rb、$^{23}$ Na和$^{87}$ Rb分别是铁磁性的、二聚的和三聚的.
英文摘要：
We study the phase diagram for spin-2 bosons loaded in a one-dimensional optical lattice. By using non-Abelian density matrix renormalization group (DMRG) method we identify three possible phases: ferromagnetic, dimerized, and trimerized phases. We sketch the phase boundaries based on DMRG. We illustrate two methods for identifying the phases. The first method is based on the spin-spin correlation function while in the second method one observes the excitation gap as a dimerization or a trimerization superlattice is imposed. The advantage of the second method is that it can also be easily implemented in experiments. By using the scattering lengths in the literature we estimate that $^{83}$Rb, $^{23}$Na, and $^{87}$Rb be ferromagnetic, dimerized, and trimerized respectively.
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