论文标题

可调状态依赖性的六边形光学晶格的广义有效利用理论

Generalized effective-potential Landau theory for a tunable state-dependent hexagonal optical lattice

论文作者

Yue, Sheng, Chen, Dan-Yang, Liu, Chenrong, Yang, Ming, Lin, Zhi

论文摘要

我们通过使用通用有效的电势兰道理论,在国家依赖性的六边形光学晶格中分析了具有各种有效磁性量子数$ m $的超电玻璃玻色子的地面相图,其中两个三角形sublattice a和b之间的位置偏移能量是可调的。我们对三阶校正的分析计算与先前的Gutzwiller计算相当一致。此外,我们揭示了Mott Lobes $(n,n)$的区域($ m = 0.02 $)的原因,随着$ j/u $的增加,$ m = 0.02 $在深层晶格中会增加。

We analytically study the ground-state phase diagrams of ultracold bosons with various values of the effective magnetic quantum number $m$ in a state-dependent hexagonal optical lattice by using the generalized effective-potential Landau theory, where the site-offset energy between the two triangular sublattice A and B is tunable. Our analytical calculations of third-order corrections are in reasonably good agreement with the previous cluster Gutzwiller calculations. Furthermore, we reveal the reason why the regions of the Mott lobes $(n,n)$ in phase diagrams for $m=0.02$ are unexpectedly expanded with increasing $J/U$ in deep lattice.

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