Localization in spin chains with facilitation constraints and disordered interactions

Abstract

Quantum many-body systems with kinetic constraints exhibit intriguing relaxation dynamics. Recent experimental progress in the field of cold atomic gases offers a handle for probing the collective behavior of such systems, in particular, for understanding the interplay between constraints and disorder. Here, we explore a spin chain with facilitation constraints---a feature which is often used to model classical glass formers---together with disorder that originates from spin-spin interactions. The specific model we study, which is realized in a natural fashion in Rydberg quantum simulators, maps onto an $XX$ chain with nonlocal disorder. Our study shows that the combination of constraints and seemingly unconventional disorder may lead to interesting nonequilibrium behavior in experimentally relevant setups.