2026-06-27T10:43:29Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/522132023-08-05T23:36:29Zcom_20.500.14352_14col_20.500.14352_15

Schmied, R. Roscilde, T. Murg, V. Porras Torres, Diego Cirac, J. L. 2023-06-20T12:41:11Z 2023-06-20T12:41:11Z 2008-04-30 1367-2630 10.1088/1367-2630/10/4/045017 https://hdl.handle.net/20.500.14352/52213 http://doi.org/10.1088/1367-2630/10/4/045017 http://iopscience.iop.org 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. eng open access Quantum phases of trapped ions in an optical lattice journal article