Philip Richerme, Crystal Senko, Simcha Korenblit, Jacob Smith, Aaron Lee, Wesley C. Campbell, Christopher Monroe
We perform a quantum simulation of an Ising model with long-range interactions and both transverse and longitudinal fields -- the most general external field configuration -- in a system of 6 to 10 trapped atomic ions. Quantum fluctuations at zero temperature drive the ground state spin ordering through several classical first-order phase transitions as the strength of the longitudinal field is increased. The Hamiltonian under study generates a fractal Devil's staircase structure and maps onto a large number of many-body and energy-optimization problems, showing how quantum simulation can potentially find solutions that are classically intractable.
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http://arxiv.org/abs/1303.6983
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