Topological two-body bound states in the interacting Haldane model

Abstract

We study the topological properties of the two-body bound states in an interacting Haldane model as a function of interparticle interactions. In particular, we identify topological phases where the two-body edge states have either the same or the opposite chirality as compared to single-particle edge states. We highlight that in the moderately interacting regime, which is relevant for the experimental realization with ultracold atoms, the topological transition is affected by the internal structure of the bound state, and the phase boundaries are consequently deformed.

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• Manipulating synthetic gauge fluxes via multicolor dressing of Rydberg-atom arrays
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• Topological Hybrids of Magnons and Magnon Bound Pairs
• Topological invariants for interacting systems: from twisted boundary condition to center-of-mass momentum
• Strongly interacting photons in 2D waveguide QED
• Interaction-Induced Second-Order Skin Effect
• Topological two-body bands in a multiband Hubbard model
• Chern numbers for the two-body Hofstadter-Hubbard butterfly
• Interaction-Induced Higher-Order Topological Insulator via Floquet Engineering
• Variational approach for the two-body problem in a multiband extended-Hubbard model
• Vortex bound states in dimerized $\pi$-flux optical lattices: characterization, state preparation and current measurement
• Topological two-body interaction obstructing trivial ground states: an indicator of fractional Chern insulators
• Topological bound states in a lattice of rings with nearest-neighbour interactions