N边光晶格中的安德森局域化和相关诱导离域信号
A proposed signature of Anderson localization and correlation-induced delocalization in an N-leg optical lattice
摘要：
我们提出了一个实现的一维随机二聚体模型和某些N-腿推广使用冷原子在光晶格。我们发现，这些模型表现出多个离域能量强烈依赖于相应的哈密顿量的对称性，我们提供的本地化长度作为能量的函数的分析和数值结果。我们证明，N-腿系统具有相似之处，与他们的一维祖先，但明显不同。临界离域能的存在导致动量分布的下降，这是定域-离域转变的明显信号。这些动量分布对于具有不同群对称性的模型是不同的，而对于具有相同对称性的模型是相同的。
英文摘要：
We propose a realization of the one-dimensional random dimer model and certain N-leg generalizations using cold atoms in an optical lattice. We show that these models exhibit multiple delocalization energies that depend strongly on the symmetry properties of the corresponding Hamiltonian and we provide analytical and numerical results for the localization length as a function of energy. We demonstrate that the N-leg systems possess similarities with their 1D ancestors but are demonstrably distinct. The existence of critical delocalization energies leads to dips in the momentum distribution which serve as a clear signal of the localization-delocalization transition. These momentum distributions are different for models with different group symmetries and are identical for those with the same symmetry.
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