%0 Journal Article
%J Physical Review Letters
%D 2013
%T Quantum Catalysis of Magnetic Phase Transitions in a Quantum Simulator
%A Philip Richerme
%A Crystal Senko
%A Simcha Korenblit
%A Jacob Smith
%A Aaron Lee
%A Rajibul Islam
%A Wesley C. Campbell
%A Christopher Monroe
%X We control quantum fluctuations to create the ground state magnetic phases of a classical Ising model with a tunable longitudinal magnetic field using a system of 6 to 10 atomic ion spins. Due to the long-range Ising interactions, the various ground state spin configurations are separated by multiple first-order phase transitions, which in our zero temperature system cannot be driven by thermal fluctuations. We instead use a transverse magnetic field as a quantum catalyst to observe the first steps of the complete fractal devil's staircase, which emerges in the thermodynamic limit and can be mapped to a large number of many-body and energy-optimization problems.
%B Physical Review Letters
%V 111
%8 2013/9/5
%G eng
%U http://arxiv.org/abs/1303.6983v2
%N 10
%! Phys. Rev. Lett.
%R 10.1103/PhysRevLett.111.100506
%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