RT Journal Article T1 Effective spin quantum phases in systems of trapped ions A1 Deng, X.-L. A1 Porras Torres, Diego A1 Cirac, J. Ignacio AB A system of trapped ions under the action of off-resonant standing waves can be used to simulate a variety of quantum spin models. In this work, we describe theoretically quantum phases that can be observed in the simplest realization of this idea: quantum Ising and XY models. Our numerical calculations with the density matrix renormalization group method show that experiments with ion traps should allow one to access general properties of quantum critical systems. On the other hand, ion trap quantum spin models show a few unusual features due to the peculiarities of induced effective spin-spin interactions which lead to interesting effects like long-range quantum correlations and the coexistence of different spin phases. PB American Physical Society SN 1050-2947 YR 2005 FD 2005-12 LK https://hdl.handle.net/20.500.14352/52218 UL https://hdl.handle.net/20.500.14352/52218 LA eng NO ©2005 The American Physical Society.We thank Michael Wolf and Norbert Schuch for interesting discussions. The work was supported by Grant No. MEIF-CT-2004-010350, Deutscher Akademischer Austausch Dienst, CONQUEST, and SCALA. NO Deutscher Akademischer Austausch Dienst NO CONQUEST NO SCALA. DS Docta Complutense RD 7 abr 2025