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A toolbox for lattice-spin models with polar molecules
Nature Physicsvolume 2, pages341–347 (2006)Cite this article
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Abstract
There is growing interest in states of matter with topological order. These are characterized by highly stable ground states robust to perturbations that preserve the topology, and which support excitations with so-called anyonic statistics. Topologically ordered states can arise in two-dimensional lattice-spin models, which were proposed as the basis for a new class of quantum computation. Here, we show that the relevant hamiltonians for such spin lattice models can be systematically engineered with polar molecules stored in optical lattices, where the spin is represented by a single-valence electron of a heteronuclear molecule. The combination of microwave excitation with dipole–dipole interactions and spin–rotation couplings enables building a complete toolbox for effective two-spin interactions with designable range, spatial anisotropy and coupling strengths significantly larger than relevant decoherence rates. Finally, we illustrate two models: one with an energy gap providing for error-resilient qubit encoding, and another leading to topologically protected quantum memory.
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Acknowledgements
A.M. thanks W. Ernst, and P.Z. thanks T. Calarco, L. Faoro, M. Lukin, and D. Petrov for helpful discussions. This work was supported by the Austrian Science Foundation, the European Union, OLAQUI, SCALA and the Institute for Quantum Information.
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Institute for Theoretical Physics, University of Innsbruck, and Institute for Quantum Optics and Quantum Information of the Austrian Academy of Science, 6020 Innsbruck, Austria
A. Micheli, G. K. Brennen & P. Zoller
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Micheli, A., Brennen, G. & Zoller, P. A toolbox for lattice-spin models with polar molecules.Nature Phys2, 341–347 (2006). https://doi.org/10.1038/nphys287
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