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Quantum phases of trapped ions in an optical lattice

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Schmied, R. and Roscilde, T. and Murg, V. and Porras Torres, Diego and Cirac, J. L. (2008) Quantum phases of trapped ions in an optical lattice. New journal of physics, 10 . ISSN 1367-2630

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Official URL: http://doi.org/10.1088/1367-2630/10/4/045017


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http://iopscience.iop.orgPublisher


Abstract

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.


Item Type:Article
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© IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
This work was supported by the European Union through the SCALA integrated project

Uncontrolled Keywords:Transitions; Computer; Model; Realization; Liquid
Subjects:Sciences > Physics
ID Code:47498
Deposited On:18 May 2018 08:19
Last Modified:18 May 2018 08:19

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