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Competing many-body interactions in systems of trapped ions

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2009-06
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American Physical Society
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We propose and theoretically analyze an experimental configuration in which lasers induce three-spin interactions between trapped ions. By properly choosing the intensities and frequencies of the lasers, three-spin couplings may be dominant or comparable to two-spin terms and magnetic fields. In this way, trapped ions can be used to study exotic quantum phases which do not have a counterpart in nature. We study the conditions for the validity of the effective three-spin Hamiltonian and predict qualitatively the quantum phase diagram of the system.
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©2009 The American Physical Society. A.B. and M.A.M.D acknowledge financial support from the Spanish MEC Project FIS2006-04885, CAM-UCM/ 910758, and the ESF Science Programme INSTANS 2005-2010. A.B. acknowledges support from a FPU MEC grant.
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