论文标题

在1D最近的邻居延长的玻色 - 哈伯德模型中,具有空腔介导的远距离相互作用的Haldane绝缘子

Haldane Insulator in the 1D Nearest-Neighbor Extended Bose-Hubbard Model with Cavity-Mediated Long-Range Interactions

论文作者

Sicks, Johannes, Rieger, Heiko

论文摘要

在具有现场和最近的邻居相互作用的一维玻色 - 哈伯德模型中,出现了以异国非本地阶参数为特征的间隙相位,即Haldane绝缘体。具有空腔介导的全局范围相互作用的Bose-Hubbard模型显示相图,与最近的邻居排斥相互作用非常相似,但Haldane相仍然难以捉摸。在这里,我们研究了具有最近邻元和空腔介导的全球范围相互作用的一维玻色式模型,并仔细检查了Haldane绝缘体阶段的存在。在广泛的量子蒙特卡洛模拟的帮助下,我们发现在Bose-Hubbard模型中,仅腔体介导的全球范围相互作用不存在Haldane相。为了结合两种相互作用,Haldane绝缘体阶段随着腔体介导的全球范围相互作用的强度而迅速收缩。因此,尽管有着非常相似的行为,但平均场像腔介导的相互作用一样,强烈抑制了相图的某些区域中最近的邻居排斥所青睐的非本地序列。

In the one-dimensional Bose-Hubbard model with on-site and nearest neighbor interactions, a gapped phase characterized by an exotic non-local order parameter emerges, the Haldane insulator. Bose-Hubbard models with cavity-mediated global range interactions display phase diagrams, which are very similar to those with nearest neighbor repulsive interactions, but the Haldane phase remains elusive there. Here we study the one-dimensional Bose-Hubbard model with nearest-neighbor and cavity-mediated global-range interactions and scrutinize the existence of a Haldane Insulator phase. With the help of extensive quantum Monte-Carlo simulations we find that in the Bose-Hubbard model with only cavity-mediated global-range interactions no Haldane phase exists. For a combination of both interactions, the Haldane Insulator phase shrinks rapidly with increasing strength of the cavity-mediated global-range interactions. Thus, in spite of the otherwise very similar behavior the mean-field like cavity-mediated interactions strongly suppress the non-local order favored by nearest neighbor repulsion in some regions of the phase diagram.

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