论文标题
多型玻色纸模型中的二聚体，三聚体，四聚体和其他多聚体
Dimers, trimers, tetramers, and other multimers in a multiband Bose-Hubbard model
论文作者
论文摘要
我们研究了$ n $相同的玻色子的结合状态，这些状态由具有通用跳动和有吸引力的现场相互作用的多型玻色式模型描述。使用变分方法，我们首先得出了二聚体，三聚体，四聚体和其他多聚体的精确积分方程，然后将它们应用于具有两个频段的一维锯齿模型。特别是，我们不仅揭示了偏异的二聚体状态的存在，这些状态即使在强耦合极限中，还包括两个不同位点上的单体，而且还由一个位点上的一个位点上的一个二聚体和一个单位上的单体或三个不同位点上的单体组成。我们针对现场二聚体，现场三聚体和越野三线的基态的变异计算完美地通过DMRG模拟了。我们还为现场四聚体，异地四聚体，现场五聚体，异地五聚体以及其他多聚体的基态提供了DMRG结果。
We study the bound states of $N$ identical bosons that are described by a multiband Bose-Hubbard model with generic hoppings and an attractive onsite interaction. Using a variational approach, we first derive exact integral equations for the dimers, trimers, tetramers, and other multimers, and then apply them to a one-dimensional sawtooth model that features two bands. In particular we reveal the presence of not only the offsite dimer states which consist of two monomers on different sites even in the strong-coupling limit but also the offsite trimer states which consist of either a dimer on one site and a monomer on another site or three monomers on three different sites. Our variational calculations for the ground states of onsite dimers, onsite trimers and offsite trimers benchmark perfectly well with the DMRG simulations. We also present DMRG results for the ground states of onsite tetramers, offsite tetramers, onsite pentamers, offsite pentamers, and for those of other multimers.
