玻色-哈伯德链中量子q呼吸子的边界效应
Boundary effects on quantum q-breathers in a Bose-Hubbard chain
摘要：
研究了具有固定边界条件的双玻色子玻色-哈伯德链的谱和本征态。在非相互作用的情况下，系统的本征态定义了一个二维的简正模空间。对于相互作用的情况下，本征态的权函数计算微扰理论和数值对角化。我们确定路径的二维正常模式空间的权重函数的轮辋。沿着和离开边缘的衰减是代数的。两条路径（边缘）的交叉导致权重函数的局部增强。我们分析了由于简并和双玻色子束缚态的形成而引起的非微扰效应。
英文摘要：
We investigate the spectrum and eigenstates of a Bose-Hubbard chain containing two bosons with fixed boundary conditions. In the noninteracting case the eigenstates of the system define a two-dimensional normal-mode space. For the interacting case weight functions of the eigenstates are computed by perturbation theory and numerical diagonalization. We identify paths in the two-dimensional normal-mode space which are rims for the weight functions. The decay along and off the rims is algebraic. Intersection of two paths (rims) leads to a local enhancement of the weight functions. We analyze nonperturbative effects due to the degeneracies and the formation of two-boson bound states.
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