TY - JOUR T1 - Localization and criticality in antiblockaded 2D Rydberg atom arrays Y1 - 2020 A1 - Fangli Liu A1 - Zhi-Cheng Yang A1 - Przemyslaw Bienias A1 - Thomas Iadecola A1 - Alexey V. Gorshkov AB -

Controllable Rydberg atom arrays have provided new insights into fundamental properties of quantum matter both in and out of equilibrium. In this work, we study the effect of experimentally relevant positional disorder on Rydberg atoms trapped in a 2D square lattice under anti-blockade (facilitation) conditions. We show that the facilitation conditions lead the connectivity graph of a particular subspace of the full Hilbert space to form a 2D Lieb lattice, which features a singular flat band. Remarkably, we find three distinct regimes as the disorder strength is varied: a critical regime, a delocalized but nonergodic regime, and a regime with a disorder-induced flat band. The critical regime's existence depends crucially upon the singular flat band in our model, and is absent in any 1D array or ladder system. We propose to use quench dynamics to probe the three different regimes experimentally. 

UR - https://arxiv.org/abs/2012.03946 ER -