Two-body physics in the Su-Schrieffer-Heeger model

Abstract

We consider two interacting bosons in a dimerized Su-Schrieffer-Heeger (SSH) lattice. We identify a rich variety of two-body states. In particular, for open boundary conditions and moderate interactions, edge bound states (EBS) are present even for the dimerization that does not sustain single-particle edge states. Moreover, for large values of the interactions, we find a breaking of the standard bulk-boundary correspondence. Based on the mapping of two interacting particles in one dimension onto a single particle in two dimensions, we propose an experimentally realistic coupled optical fibers setup as quantum simulator of the two-body SSH model. This setup is able to highlight the localization properties of the states as well as the presence of a resonant scattering mechanism provided by a bound state that crosses the scattering continuum, revealing the closed-channel population in real time and real space.

14 pages; 14 figures

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Cited by in corpus (8)

• Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice
• Engineering of topological state transfer and topological beam splitter in an even-size Su-Schrieffer-Heeger chain
• Topological two-body bound states in the interacting Haldane model
• Interaction-induced topological properties of two bosons in flat-band systems
• Interaction-induced two-photon edge states in extended Hubbard model realized in a cavity array
• Topological two-body bands in a multiband Hubbard model
• Signature of edge states in resonant wave scattering
• Topological Photonics on a Small Scale