Topological phases in polar-molecule quantum magnets

We will show that ultracold polar molecules pinned in an optical lattice and interacting via dipolar interactions can be used to implement a huge variety of exotic quantum magnets. These can be used to realize, for example, fractional Chern insulators, symmetry protected topological phases, the bilinear-biquadratic spin-1 Hamiltonian, and the Kitaev honeycomb model. [References: PRL 109, 266804 (2012), PRB 87, 081106(R) (2013), arXiv:1212.4839 (PRL in press), arXiv:1301.5636]