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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.
Ostmann et al. (Thu,) studied this question.