TY - JOUR T1 - Quantum Magnetism with Polar Alkali Dimers JF - Physical Review A Y1 - 2011 A1 - Alexey V. Gorshkov A1 - Salvatore R. Manmana A1 - Gang Chen A1 - Eugene Demler A1 - Mikhail D. Lukin A1 - Ana Maria Rey AB - We show that dipolar interactions between ultracold polar alkali dimers in optical lattices can be used to realize a highly tunable generalization of the t-J model, which we refer to as the t-J-V-W model. The model features long-range spin-spin interactions J_z and J_perp of XXZ type, long-range density-density interaction V, and long-range density-spin interaction W, all of which can be controlled in both magnitude and sign independently of each other and of the tunneling t. The "spin" is encoded in the rotational degree of freedom of the molecules, while the interactions are controlled by applied static electric and continuous-wave microwave fields. Furthermore, we show that nuclear spins of the molecules can be used to implement an additional (orbital) degree of freedom that is coupled to the original rotational degree of freedom in a tunable way. The presented system is expected to exhibit exotic physics and to provide insights into strongly correlated phenomena in condensed matter systems. Realistic experimental imperfections are discussed. VL - 84 UR - http://arxiv.org/abs/1106.1655v1 CP - 3 J1 - Phys. Rev. A U5 - 10.1103/PhysRevA.84.033619 ER -