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 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 non-local disorder. Our study shows that the combination of constraints and seemingly unconventional disorder may lead to interesting non-equilibrium behaviour in experimentally relevant setups.
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