二维无规二聚体势中密度波的传播：从单分到二分正方形格子
Density wave propagation in a two-dimensional random dimer potential: from a single to a bipartite square lattice
摘要：
本文研究了密度微扰在弱相互作用玻色子气体中的传播。这种二维随机二聚体模型（2D-DRDM），先前在[Capuzzi等人，Phys. Rev. A 92，053622（2015）]是从不存在杂质的单个正方形晶格到杂质数量最大且与晶格位点数量的一半一致的二分正方形晶格的无序转变。我们表明，无序相关性可以发挥至关重要的作用，在动力学的参数范围很广，允许密度波动传播的2D-DRDM晶格，即使在强无序的限制。在这样的制度中，传播速度取决于杂质的百分比，插值之间的速度在一个单一的monoperiodic晶格和在一个bipartite的。
英文摘要：
We study the propagation of a density perturbation in a weakly interacting boson gas confined on a lattice and in the presence of square dimerized impurities. Such a two-dimensional random-dimer model (2D-DRDM), previously introduced in [Capuzzi et al., Phys. Rev. A 92, 053622 (2015)], is the disorder transition from a single square lattice, where impurities are absent, to a bipartite square lattice, where the number of impurities is maximum and coincides with half the number of lattice sites. We show that disorder correlations can play a crucial role in the dynamics for a broad range of parameters by allowing density fluctuations to propagate in the 2D-DRDM lattice, even in the limit of strong disorder. In such a regime, the propagation speed depends on the percentage of impurities, interpolating between the speed in a single monoperiodic lattice and that in a bipartite one.
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