R Schmied et al 2008 New J. Phys. 10 045017 doi:10.1088/1367-2630/10/4/045017
Quantum phases of trapped ions in an optical lattice
Focus on Quantum Correlations in Tailored MatterR Schmied1, T Roscilde, V Murg, D Porras and J I Cirac
Show affiliationsPart of Focus on Quantum Correlations in Tailored Matter
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 Néel-ordered phase.
- PACS
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75.30.Kz Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.)
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- Dates
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Issue 4 (April 2008)
Received 31 December 2007
Published 30 April 2008
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Quantum phases of trapped ions in an optical lattice
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