Self-organized topological insulator due to cavity-mediated correlated tunneling

Rebecca Kraus

We discuss an extended Bose-Hubbard model with cavity-mediated global-interactions. We observe a emergence of topological non-trivial phase due to the quantum interference between single-particle dynamics and global interactions. The onset of quantum interference leads to spontaneous breaking of the lattice translational symmetry, the corresponding phase resembles nontrivial states of the celebrated Su-Schriefer-Heeger model. Like the fermionic Peierls instability, the emerging quantum phase is a topological insulator and is found at half fillings. Nevertheless, here it arises from an interference phenomenon that has no known fermionic analog. We argue that these dynamics can be realized in existing experimental platforms, such as cavity quantum electrodynamics setups, where the topological features can be revealed in the light emitted by the resonator.