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Dynamical Solitons and Boson Fractionalization in Cold-Atom Topological Insulators

Dynamical Solitons and Boson Fractionalization in Cold-Atom Topological Insulators

We study the $\mathbb{Z}_2$ Bose-Hubbard model at incommensurate densities, which describes a one-dimensional system of interacting bosons whose tunneling is dressed by a dynamical $\mathbb{Z}_2$ field. At commensurate densities, the model is known to host intertwined topological phases, where long-range order coexists with non-trivial topological properties. This interplay between spontaneous …