01289nas a2200205 4500008004100000245007500041210006900116260001300185490000800198520067800206100002100884700001900905700002200924700001700946700001500963700001900978700002500997700002401022856003701046 2013 eng d00aQuantum Catalysis of Magnetic Phase Transitions in a Quantum Simulator0 aQuantum Catalysis of Magnetic Phase Transitions in a Quantum Sim c2013/9/50 v1113 a 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.
1 aRicherme, Philip1 aSenko, Crystal1 aKorenblit, Simcha1 aSmith, Jacob1 aLee, Aaron1 aIslam, Rajibul1 aCampbell, Wesley, C.1 aMonroe, Christopher uhttp://arxiv.org/abs/1303.6983v201417nas a2200253 4500008004100000245008300041210006900124260001500193300001100208490000700219520068500226100002200911700001600933700002300949700001900972700002300991700001901014700001801033700001701051700001801068700001601086700002401102856003701126 2012 eng d00aQuantum Simulation of Spin Models on an Arbitrary Lattice with Trapped Ions
0 aQuantum Simulation of Spin Models on an Arbitrary Lattice with T c2012/09/27 a0950240 v143 a 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.
1 aKorenblit, Simcha1 aKafri, Dvir1 aCampbell, Wess, C.1 aIslam, Rajibul1 aEdwards, Emily, E.1 aGong, Zhe-Xuan1 aLin, Guin-Dar1 aDuan, Luming1 aKim, Jungsang1 aKim, Kihwan1 aMonroe, Christopher uhttp://arxiv.org/abs/1201.0776v1