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Phys. Rev. A 79, 060303(R) (2009) [4 pages]

Competing many-body interactions in systems of trapped ions

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A. Bermudez1, D. Porras1,2, and M. A. Martin-Delgado1
1Departamento de Física Teórica I, Universidad Complutense, 28040 Madrid, Spain
2Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, 85748 Garching, Germany

Received 22 January 2009; published 9 June 2009

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.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.79.060303
DOI:
10.1103/PhysRevA.79.060303
PACS:
03.67.Ac, 37.10.Ty, 42.50.Wk, 75.10.Jm