论文标题
与现场相互作用的二维晶格气体中的簇动力学
Cluster dynamics in two-dimensional lattice gases with inter-site interactions
论文作者
论文摘要
在扩展 - 重音和XXZ旋转模型中，足够强的地点间相互作用导致在相邻位点进行动态结合的簇。我们表明，在二维晶格中，这些簇的动力学与没有位点间相互作用的气体中排斥的现场簇呈压倒性的现场簇的动力学明显不同。现场对与单个颗粒相同的晶格移动，而最接近的邻居二聚体在不同的晶格几何形状中进行相互作用的量子行走，导致具有多个时间尺度的特殊动力学。后者对于任何晶格的几何形状都是一般的，但在三角形和钻石晶格中尤其重要，在三角形和钻石晶格中，二聚体分别在有效的kagome和lieb晶格中谐音。结果，二聚体由于有效的扁平带而经历了部分准定位，并且可能比较长的簇慢。这些模型中异常缓慢的量子行走动力学与平坦物理学之间的这种令人惊讶的联系可以在灯笼原子的实验中很容易观察到。
Sufficiently strong inter-site interactions in extended-Hubbard and XXZ spin models result in dynamically-bound clusters at neighboring sites. We show that the dynamics of these clusters in two-dimensional lattices is remarkably different and richer than that of repulsively-bound on-site clusters in gases without inter-site interactions. Whereas on-site pairs move in the same lattice as individual particles, nearest-neighbor dimers perform an interacting quantum walk in a different lattice geometry, leading to a peculiar dynamics characterized by more than one time scale. The latter is general for any lattice geometry, but it is especially relevant in triangular and diamond lattices, where dimers move resonantly in an effective kagome and Lieb lattice, respectively. As a result, dimers experience partial quasi-localization due to an effective flat band, and may move slower than longer clusters. This surprising link between anomalously slow quantum walk dynamics in these models and flat-band physics may be readily observed in experiments with lanthanide atoms.
