RT Journal Article T1 Quantum phases of trapped ions in an optical lattice A1 Schmied, R. A1 Roscilde, T. A1 Murg, V. A1 Porras Torres, Diego A1 Cirac, J. L. AB We propose loading trapped ions into microtraps formed by an optical lattice. For harmonic microtraps, the Coulomb coupling of the spatial motions of neighboring ions can be used to construct a broad class of effective short-range Hamiltonians acting on an internal degree of freedom of the ions. For large anharmonicities, on the other hand, the spatial motion of the ions itself represents a spin-1/2 model with frustrated dipolar XY interactions. We illustrate the latter setup with three systems: the linear chain, the zigzag ladder and the triangular lattice. In the frustrated zigzag ladder with dipolar interactions we find chiral ordering beyond what was predicted previously for a next-nearest-neighbor model. In the frustrated anisotropic triangular lattice with nearest-neighbor interactions we find that the transition from the one-dimensional (1D) gapless spin-liquid phase to the 2D spiraling ordered phase passes through a gapped spin-liquid phase, similar to what has been predicted for the same model with Heisenberg interactions. Further, a second gapped spin-liquid phase marks the transition to the 2D Neel-ordered phase. PB IOP Publishing SN 1367-2630 YR 2008 FD 2008-04-30 LK https://hdl.handle.net/20.500.14352/52213 UL https://hdl.handle.net/20.500.14352/52213 LA eng NO © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.This work was supported by the European Union through the SCALA integrated project NO European Union DS Docta Complutense RD 29 abr 2024