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Many magnetic materials are predicted to exhibit bosonic topological edgemodes in their excitation spectra, because of the nontrivial topology of theirmagnon, triplon or other quasi-particle band structures. However, there is adiscrepancy between theory prediction and experimental observation, whichsuggests some underlying mechanism that intrinsically suppresses the expectedexperimental signatures, like the thermal Hall current. Many-body interactionsthat are not accounted for in the non-interacting quasi-particle picture aremost often identified as the reason for the absence of the topological edgemodes. Here we report stable bosonic edge modes at the boundaries of a ladderquantum paramagnet with gapped triplon excitations in the presence of the fullmany-body interaction. For the first time, we use tensor network methods toresolve topological edge modes in the time-dependent spin-spin correlations andthe dynamical structure factor, which is directly accessible experimentally. Wefurther show that these edge modes have anomalously long time coherence,discuss the topological phase diagram of the model, demonstrate thefractionalization of its low-lying excitations, and propose potential materialcandidates.

Stable Bosonic Topological Edge Modes in the Presence of Many-Body Interactions