%0 Journal Article %J New Journal of Physics %D 2012 %T Quantum Simulation of Spin Models on an Arbitrary Lattice with Trapped Ions %A Simcha Korenblit %A Dvir Kafri %A Wess C. Campbell %A Rajibul Islam %A Emily E. Edwards %A Zhe-Xuan Gong %A Guin-Dar Lin %A Luming Duan %A Jungsang Kim %A Kihwan Kim %A Christopher Monroe %X A collection of trapped atomic ions represents one of the most attractive platforms for the quantum simulation of interacting spin networks and quantum magnetism. Spin-dependent optical dipole forces applied to an ion crystal create long-range effective spin-spin interactions and allow the simulation of spin Hamiltonians that possess nontrivial phases and dynamics. Here we show how appropriate design of laser fields can provide for arbitrary multidimensional spin-spin interaction graphs even for the case of a linear spatial array of ions. This scheme uses currently existing trap technology and is scalable to levels where classical methods of simulation are intractable. %B New Journal of Physics %V 14 %P 095024 %8 2012/09/27 %G eng %U http://arxiv.org/abs/1201.0776v1 %N 9 %! New J. Phys. %R 10.1088/1367-2630/14/9/095024