Localization in spin chains with facilitation constraints and disordered interactions

Understand

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.