Interplay between kinematic constraint and random disorder in 2D PXP model

Kinematic constraint is known to generate quantum many-body scars in the PXP model, which explaining the weak ergodicity breaking in Rydberg-atom experiments. Meanwhile, random disorders can bring a closed quantum system into the many-body localization phase. In a recent work (arXiv: 2102.08241) we studied the 2D PXP model in the presence of different types of random disorders. We show that the scar states can be stable up to a finite disorder strength before eventually been destroyed. Further, the dynamics of the Neel state also indicates the weak ergodicity breaking in this case. In the presence of strong disorders, however, we find that disorders compatible with the kinematic constraint are still able to localize the system. In contrast, other types of disorders are prohibited by the kinematic constraint to localize the system.