We investigate the phase diagram of a one-dimensional model of hardcore bosons or spinless fermions with tunable nearest-neighbor interactions. By introducing alternating repulsive and attractive interactions on consecutive bonds, we show that the system undergoes a quantum phase transition from a bond-ordered (BO) phase to a charge-density wave-II phase as the attractive interaction strength increases at a fixed repulsive interaction. For a specific interaction pattern, the BO phase exhibits topological properties, which vanish when the pattern is altered, leading to a transition from a topological BO phase to a trivial BO phase through a gap-closing point where both interactions vanish. We identify these phases using a combination of order parameters, topological invariants, edge-state analysis, and Thouless charge pumping. By extending our analysis beyond half filling, we explore the phase diagram across all densities and identify the superfluid and the pair-superfluid phases, characterized by single-particle and bound-pair excitations at incommensurate densities. The proposed model is experimentally realizable in platforms such as Rydberg excited or ultracold atoms in optical lattices, offering a versatile framework to study such interplay between topology and interactions in low-dimensional systems. Finally, we present the complete ground-state phase diagram for all possible signs of the interaction strengths, repulsive or attractive, on consecutive bonds.

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• Cold gases in optical lattices
• Density matrix renormalization group
• Topological phase transition
• Strongly correlated systems