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Motivated by recent proposals on using polar molecules in optical lattices driven by microwave fields to induce strong three-body interactions, we study the quantum phase diagram of the boson Hubbard model with dominant nearest neighbor three-body repulsion using quantum Monte Carlo simulations. In particular, we consider the case of a one-dimensional arrangement, and assess the nature of new quantum phases that appear in this regime. Our exact numerical results are compared to analytical findings based on a bosonization approach to the same model. Furthermore, we report on current investigations of three-body interactions on two-dimensional lattices, where macroscopically degenerate classical regions and quantum order-by-disorder phenomena at various lattice fillings appear. |
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