Dynamics of interacting particles on a rhombus chain: Aharonov-Bohm caging and inverse Anderson transition

The Aharonov-Bohm (AB) caging is the phenomenon of extreme localization of particles experiencing magnetic field in certain tight binding lattices. While the AB caging involves the localization of non-interacting particles, it often breaks down due to the effect of interaction resulting in delocalization. In this study, however, we show that interactions under proper conditions can restore the AB caging of particles. By analysing the dynamics of two bosons possessing both onsite and nearest neighbor interactions on a one dimensional diamond/rhombus lattice pierced by an artificial gauge field, we show that the AB caging is restored when both the interactions are of equal strengths. Furthermore, the AB caged bosons, with the onset of an antisymmetric correlated onsite disorder in the lattice, escape from the cages, demonstrating the phenomenon of inverse Anderson transition which is known to be exhibited by the non-interacting AB caged particles. We also obtain situation similar to the inverse Anderson transition when an external potential gradient is applied to the lattice. These findings offer route to realize the AB caging and inverse Anderson transition of interacting particles in experiments involving ultracold atoms in optical lattices or superconducting circuits.