RT Journal Article T1 Competing many-body interactions in systems of trapped ions A1 Bermúdez Carballo, Alejandro A1 Porras Torres, Diego A1 Martín-Delgado Alcántara, Miguel Ángel AB 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. PB American Physical Society SN 1050-2947 YR 2009 FD 2009-06 LK https://hdl.handle.net/20.500.14352/42805 UL https://hdl.handle.net/20.500.14352/42805 LA eng NO ©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. NO Ministerio de Educación y Ciencia (MEC) NO Comunidad de Madrid/Universidad Complutense de Madrid NO ESF Science Programme INSTANS DS Docta Complutense RD 13 may 2025