极性分子实现的长程格位稀释XXZ模型的量子Monte Carlo研究
A quantum Monte Carlo study of the long-ranged site-diluted XXZ-model as realized by polar molecules
摘要：
受最近超冷极性分子在深光晶格中的实验的启发，我们研究了非对角无序和非对角无序下长程XXZ模型的基态性质。我们将自旋模型映射到一个硬核的Bose-哈伯德模型，并用Worm算法进行了大规模的蒙特卡罗模拟。在没有混乱的情况下，我们发现，足够大的相互作用，三个阶段是稳定的：一个超流相，棋盘固相，只存在于密度n = 0.5，和棋盘超固相，可以达到通过掺杂CB相远离半填充。在非对角无序的存在下，并在固定的密度n=0.5，我们发现，不像在短程跳跃的情况下观察到的，本地化从来没有发生，即使网站稀释大于逾渗阈值，和非对角顺序，虽然强烈抑制，持续任意大的值的网站稀释。
英文摘要：
Motivated by recent experiments with ultracold polar molecules trapped in deep optical lattices, we study ground-state properties of the long-ranged XXZ model with and without off-diagonal disorder. We map the spin model to a hard-core Bose-Hubbard model and perform large-scale Monte Carlo simulations by the Worm algorithm. In absence of disorder, we find that, for large enough interaction, three phases are stabilized: a superfluid phase, a checkerboard solid phase, only present at density n = 0.5, and a checkerboard supersolid phase which can be reached by doping the CB phase away from half-filling. In the presence of off-diagonal disorder and at fixed density n=0.5, we find that, unlike what observed in the case of short-range hopping, localization never occurs even for site dilution larger than the percolation threshold, and off-diagonal order, though strongly suppressed, persists for arbitrarily large values of site-dilution.
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