论文标题

正方形晶格上的完全包装的量子循环模型:rydberg原子的相图和应用

Fully packed quantum loop model on the square lattice: phase diagram and application for Rydberg atoms

论文作者

Ran, Xiaoxue, Yan, Zheng, Wang, Yan-Cheng, Rong, Junchen, Qi, Yang, Meng, Zi Yang

论文摘要

量子二聚体和环模型引起了极大的关注,部分原因是这些原型约束系统中出现的阶段和相变的基本重要性,部分原因是它们与Rydberg Atom阵列上正在进行的持续实验的亲密相关性,在这种实验中,该封锁机制自然强制局部约束。在这里,我们通过扫描量子量蒙特卡洛法显示,正方形晶格上完全堆积的量子环模型的完整基态相图。我们在具有强二聚体吸引力的晶格列(LN)相位和具有强二聚体排斥的交错相(SP)之间,出现了一个引起谐振的Plaquette(RP)相,具有异性转移对称性破坏。这种量子相通过一阶转变与LN分离,并由著名的Rokhsar-Kivelson Point与SP分开。我们的重新归一化组分析揭示了不同的流动方向,这与蒙特卡洛模拟中的阶参数直方图完全一致。提出了我们的相图在Rydberg实验中的实现和含​​义。

The quantum dimer and loop models attract great attentions, partially because the fundamental importance in the phases and phase transitions emerging in these prototypical constrained systems, and partially due to their intimate relevance toward the on-going experiments on Rydberg atom arrays in which the blockade mechanism naturally enforces the local constraint. Here we show, by means of the sweeping cluster quantum Monte Carlo method, the complete ground state phase diagram of the fully packed quantum loop model on the square lattice. We find between the lattice nematic (LN) phase with strong dimer attraction and the staggered phase (SP) with strong dimer repulsion, there emerges a resonating plaquette (RP) phase with off-diagonal translational symmetry breaking. Such a quantum phase is separated from the LN via a first order transition and from the SP by the famous Rokhsar-Kivelson point. Our renormalization group analysis reveals the different flow directions, fully consistent with the order parameter histogram in Monte Carlo simulations. The realization and implication of our phase diagram in Rydberg experiments are proposed.

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