Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only! Grab it Explore the theoretical transitions between localized and chaotic many-body regimes in one-dimensional quantum lattice systems with long-range particle couplings and linear external potential. Delve into the construction of effective phase diagrams for various lattice systems, examining the interplay between external linear tilt amplitude and interaction strength. Analyze system dynamics after quenches using exact diagonalization and time-dependent variational principle numerical approaches. Discover how Stark localization remains stable even with the inclusion of long-range interactions, providing insights into quantum systems without artificial sources of disorder.