论文标题
相互作用玻色子的能量谱系的混乱和奇迹性
Chaos and ergodicity across the energy spectrum of interacting bosons
论文作者
论文摘要
我们通过光谱特征与相关特征状态的结构变化之间的能量分辨相关性，确定了玻色 - 哈伯族哈密顿量的混乱阶段，这些相关性被其广义分形维度暴露而来。在配置空间基础上，特征向量显示在热力学极限中变为千古，其中随机矩阵理论对其典型结构提供了出色的描述。但是，随着希尔伯特空间维度的增长，广义分形维度的分布与随机矩阵理论的分布越来越大。
We identify the chaotic phase of the Bose-Hubbard Hamiltonian by the energy-resolved correlation between spectral features and structural changes of the associated eigenstates as exposed by their generalized fractal dimensions. The eigenvectors are shown to become ergodic in the thermodynamic limit, in the configuration space Fock basis, in which random matrix theory offers a remarkable description of their typical structure. The distributions of the generalized fractal dimensions, however, are ever more distinguishable from random matrix theory as the Hilbert space dimension grows.
