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We consider a one-dimensional quantum many-body system and investigate howthe interplay between interaction and on-site disorder affects spatiallocalization and quantum correlations. The hopping amplitude is kept constant.To measure localization, we use the number of principal components (NPC), whichquantifies the spreading of the system eigenstates over vectors of a givenbasis set. Quantum correlations are determined by a global entanglement measure$Q$, which quantifies the degree of entanglement of multipartite pure states.Our studies apply analogously to a one-dimensional system of interactingspinless fermions, hard-core bosons, or yet to an XXZ Heisenberg spin-1/2chain. Disorder is characterized by both: uncorrelated and long-rangecorrelated random on-site energies. Dilute and half-filled chains are analyzed.In half-filled clean chains, delocalization is maximum when the particles donot interact, whereas multi-partite entanglement is largest when they do. Inthe presence of uncorrelated disorder, NPC and Q show a non-trivial behaviorwith interaction, peaking in the chaotic region. The inclusion of correlateddisorder may further extend two-particle states, but the effect decreases withthe number of particles and strength of their interactions. In half-filledchains with large interaction, correlated disorder may even enhancelocalization.

Interplay between interaction and (un)correlated disorder in one-dimensional many-particle systems: delocalization and global entanglement