Many-body localization in a quantum gas with long-range interactions and linear external potential

We study theoretically transitions between the localized and chaotic\nmany-body regimes in one-dimensional quantum lattice systems with long-range\ncouplings between particles and linear external potential. In terms of\nestablished criteria characterizing localization, we construct effective phase\ndiagrams for several types of lattice systems with variable amplitude of the\nexternal linear tilt and interaction strength. By means of exact\ndiagonalization and time-dependent variational principle numerical approaches\nwe analyze system dynamics after quenches. Our results reveal that the Stark\nlocalization without any artificial source of disorder remains stable upon\ninclusion of long-range interactions.\n