Competing many-body interactions in systems of trapped ions

Physics – Quantum Physics

Scientific paper

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RevTex4 file, color figures

Scientific paper

10.1103/PhysRevA.79.060303

We propose and theoretically analyse an experimental configuration in which lasers induce 3-spin interactions between trapped ions.By properly choosing the intensities and frequencies of the lasers, 3-spin couplings may be dominant or comparable to 2-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 3-spin Hamiltonian, and predict qualitatively the quantum phase diagram of the system.

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