arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2012.02663cond-mat.quant-gascond-mat.stat-mechcond-mat.str-el
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具有格点间相互作用的二维晶格气体中的团簇动力学

Cluster dynamics in two-dimensional lattice gases with inter-site interactions

Wei-Han Li, Arya Dhar, Xiaolong Deng, Luis Santos

摘要:

在扩展的Hubbard和XXZ自旋模型中,足够强的站点间相互作用导致在相邻站点处的动态绑定集群。我们发现,这些集群在二维晶格的动力学是显着不同的,比排斥约束的现场集群在气体中没有站点间的相互作用更丰富。而在网站对移动在同一个晶格中的单个粒子,最近的邻居二聚体执行一个相互作用的量子行走在一个不同的晶格几何,导致一个奇特的动力学的特点是一个以上的时间尺度。后者是一般的任何晶格几何形状,但它是特别相关的三角形和菱形晶格,其中二聚体共振移动在一个有效的kagome和Lieb晶格,分别。因此,二聚体由于有效的平带而经历部分准定位,并且可能比更长的簇移动得更慢。在这些模型中,缓慢的量子行走动力学与平带物理学之间的这种令人惊讶的联系,可以在镧系元素原子的实验中很容易地观察到。

英文摘要:

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.

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