论文标题
高度支持量子二聚体模型
Height-conserving quantum dimer models
论文作者
论文摘要
我们提出了一个支持高度的量子二聚体模型（HQDM），以使其相关高度场的晶格总和保存，并且它允许Rokhsar-Kivelson（RK）点。方形晶格上具有最小相互作用范围的HQDM表现出Hilbert空间碎片，并将其映射到某些Krylov子空间的方格上的XXZ旋转模型。我们通过量子蒙特卡洛模拟获得了HQDM的地面相图，并证明其中很大一部分位于Krylov子空间内，该子空间接收到XXZ模型的精确映射，其二聚体有序相对于易于轴和易于轴的旋转顺序。在RK点，从单模式近似获得的明显动力学指数和高度相关函数在Krylov子空间中显示出截然不同的行为，体现了希尔伯特空间碎片和新兴的玻璃现象的体现。
We propose a height-conserving quantum dimer model (hQDM) such that the lattice sum of its associated height field is conserved, and that it admits a Rokhsar-Kivelson (RK) point. The hQDM with minimal interaction range on the square lattice exhibits Hilbert space fragmentation and maps exactly to the XXZ spin model on the square lattice in certain Krylov subspaces. We obtain the ground-state phase diagram of hQDM via quantum Monte Carlo simulations, and demonstrate that a large portion of it is within the Krylov subspaces which admit the exact mapping to the XXZ model, with dimer ordered phases corresponding to easy-axis and easy-plane spin orders. At the RK point, the apparent dynamical exponents obtained from the single mode approximation and the height correlation function show drastically different behavior across the Krylov subspaces, exemplifying Hilbert space fragmentation and emergent glassy phenomena.
