The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
A toolbox for lattice-spin models with polar molecules
Open accessAbstract
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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Citations
Cites
Anyons in an exactly solved model and beyond
Kitaev, A. (2006) · Annals of Physics · doi:10.1016/j.aop.2005.10.005 · Cited by 5,245
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String-net condensation: A physical mechanism for topological phases
Levin, M. A., & Wen, X.-G. (2005) · Physical Review B · doi:10.1103/physrevb.71.045110 · Cited by 1,470
Quantum Computation with Trapped Polar Molecules
DeMille, D. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.067901 · Cited by 1,355
Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
Duan, L.-M., Demler, E., & Lukin, M. D. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.090402 · Cited by 1,170
Jaksch, D., & Zoller, P. (2005) · Annals of Physics · doi:10.1016/j.aop.2004.09.010 · Cited by 976 · cited 1×
“The idea of realizing bosonic and fermionic Hubbard models, and thus also lattice-spin models, with cold atoms in optical lattices has sparked a remarkable series of experiments, and has triggered numerous theoretical studies to develop cold atoms as a quantum simulator for strongly correlated condensed-matter system”
BackgroundSelf-citationPyrochlore photons: TheU(1)spin liquid in aS=12three-dimensional frustrated magnet
Hermele, M., Fisher, M. P. A., & Balents, L. (2004) · Physical Review B · doi:10.1103/physrevb.69.064404 · Cited by 626
Optical Production of Ultracold Polar Molecules
Sage, J., Sainis, S., Bergeman, T. H., et al. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.203001 · Cited by 533
Creation of a Molecular Condensate by Dynamically Melting a Mott Insulator
Jaksch, D., Venturi, V., Cirac, J. I., Williams, C. J., & Zoller, P. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.040402 · Cited by 207
Self-citationAtomic Quantum Gases in Kagomé Lattices
Santos, L., Baranov, M., Cirac, J., Everts, H.-U., Fehrmann, H., & Lewenstein, M. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.030601 · Cited by 206
Protected qubits and Chern-Simons theories in Josephson junction arrays
Douçot, B., Feigel’man, M. V., Ioffe, L. B., & Ioselevich, A. S. (2005) · Physical Review B · doi:10.1103/physrevb.71.024505 · Cited by 187
Atomic Quantum Simulator for Lattice Gauge Theories and Ring Exchange Models
Büchler, H. P., Hermele, M., Huber, S. D., Fisher, M. P. A., & Zoller, P. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.040402 · Cited by 183
Self-citationFractional statistics on a torus
Einarsson, T. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.1995 · Cited by 140
Quantum logic for trapped atoms via molecular hyperfine interactions
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Self-citation
Cited by
Many-body physics with ultracold gases
Bloch, I., Dalibard, J., & Zwerger, W. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.885 · Cited by 8,114
Ladd, T. D., Jelezko, F., Laflamme, R., Nakamura, Y., Monroe, C., & O’Brien, J. L. (2010) · Nature · doi:10.1038/nature08812 · Cited by 3,592
Georgescu, I. M., Ashhab, S., & Nori, F. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.153 · Cited by 2,932
“Topological models have also been investigated in (Brennen et al., 2009; Freedman et al., 2002; Kitagawa, 2012; Micheli et al., 2006; Stanescu et al., 2009; Xue, 2011).”
BackgroundMethodUltracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
Xiang, Z.-L., Ashhab, S., You, J. Q., & Nori, F. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.623 · Cited by 1,514
Metadata
- Authors
- Micheli, A., Brennen, G. K., & Zoller, P.
- Venue
- Nature Physics
- Published
- 2006-04-30
- Volume
- 2
- Issue
- 5
- Pages
- 341-347
- ISSN
- 1745-2473 (ISSN-L)
- 1745-2481
- OpenAlex
- W2045108970
- Cited by
- 1,079
- References
- 15
- FWCI
- 42.74
- Type
- journal article
- Language
- en
- Open access
- green
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