Pair localization in dipolar systems with tunable positional disorder

Strongly interacting quantum systems subject to quenched disorder exhibit intriguing phenomena such as glassiness and many-body localization. Theoretical studies have mainly focused on in the form of random potentials, while many experimental realizations naturally feature interparticle interactions. Inspired by cold Rydberg gases, where can be engineered using dipole blockade effect,we study a Heisenberg XXZ spin model is exclusively due spin-spin couplings, arising from power-law interactions between randomly positioned spins. Using established spectral eigenstate properties entanglement entropy, we show that this system exhibits localization crossover identify strongly pairs emergent local conserved quantities system, leading an intuitive physical picture consistent with our numerical results.