Few-body bound topological and flat-band states in a Creutz ladder

Pelegrí, G. and Flannigan, S. and Daley, A. J. (2024) Few-body bound topological and flat-band states in a Creutz ladder. Physical Review B, 109 (23). 235412. ISSN 1098-0121 (https://doi.org/10.1103/PhysRevB.109.235412)

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We investigate the properties of a few interacting bosons in a Creutz ladder, which has become a standard model for topological systems, and which can be realized in experiments with cold atoms in optical lattices. At the single-particle level, this system may exhibit a completely flat energy landscape with nontrivial topological properties. In this scenario, we identify topological two-body edge states resulting from the bonding of single-particle edge and flat-band states. We also explore the formation of two- and three-body bound states in the strongly interacting limit, and we show how these quasiparticles can be engineered to replicate the flat-band and topological features of the original single-particle model. Furthermore, we show that in this geometry perfect Aharonov-Bohm caging of two-body bound states may occur for arbitrary interaction strengths, and we provide numerical evidence that the main features of this effect are preserved in an interacting many-body scenario resulting in many-body Aharonov-Bohm caging.