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

Xiaoxue RanZheng YanYan-Cheng WangJunchen RongYang QiZi Yang Meng
Sep 2022
摘要
The quantum dimer and loop models attract great attentions, partially becausethe fundamental importance in the novel phases and phase transitions emergingin these prototypical constrained lattice models; and partially due to theirintimate relevance towards the on-going experiments on Rydberg atom arrays inwhich the blockade mechanism naturally enforces the local constraint. Here weshow, by means of the sweeping cluster quantum Monte Carlo method, the completeground state phase diagram of the fully packed quantum loop model on the squarelattice. We find between the lattice nematic (LN) phase with strong dimerattraction and the staggered phase (SP) with strong dimer repulsion, thereemerges a resonating plaquette (RP) phase with off-diagonal translationalsymmetry breaking. Such a novel phase is separated from the LN via a firstorder transition and from the SP by the famous Rokhsar-Kivelson point. Ourrenormalization group analysis reveals the different flow directions towardsdifferent symmetry breaking phases, fully consistent with the order parameterhistogram in Monte Carlo simulations. The realization of our phase diagram inRydberg exmperiments is proposed.
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