DOI: 10.1038/ncomms1374. Onset of a quantum phase transition with a trapped ion quantum simulator

Onset of a quantum phase transition with a trapped ion quantum simulator

10.1038/ncomms1374

Crossref journal-article

Springer Science and Business Media LLC

Nature Communications (297)

Bibliography

Islam, R., Edwards, E. E., Kim, K., Korenblit, S., Noh, C., Carmichael, H., Lin, G.-D., Duan, L.-M., Joseph Wang, C.-C., Freericks, J. K., & Monroe, C. (2011). Onset of a quantum phase transition with a trapped ion quantum simulator. Nature Communications, 2(1).

Authors 11

R. Islam (first)
E.E. Edwards (additional)
K. Kim (additional)
S. Korenblit (additional)
C. Noh (additional)
H. Carmichael (additional)
G.-D. Lin (additional)
L.-M. Duan (additional)
C.-C. Joseph Wang (additional)
J.K. Freericks (additional)
C. Monroe (additional)

References 26 Referenced 334

Feynman, R. Simulating physics with computers. Int. J. Theor. Phys. 21, 467–488 (1982). (10.1007/BF02650179) / Int. J. Theor. Phys. by R Feynman (1982)
Lloyd, S. Universal quantum simulators. Science 273, 1073 (1996). (10.1126/science.273.5278.1073) / Science by S Lloyd (1996)
Simon, J. et al. Quantum simulation of an antiferromagnetic spin chains in an optical lattice. Nature 472, 307–312 (2011). (10.1038/nature09994) / Nature by J Simon (2011)
Struck, J. et al. Quantum simulation of frustrated magnetism in triangular optical lattices arXiv:1103.5944.
Porras, D. & Cirac, J. I. Effective quantum spin systems with trapped ions. Phys. Rev. Lett. 92: 207901 (2004). (10.1103/PhysRevLett.92.207901)
Deng, X.- L., Porras, D. & Cirac, J. I. Effective spin quantum phases in systems of trapped ions. Phys. Rev. A 72 (2005). (10.1103/PhysRevA.72.063407)
Taylor, J. M. & Calarco, T. Wigner crystals of ions as quantum hard drives. Phys. Rev. A 78: 062331 (2008). (10.1103/PhysRevA.78.062331)
Friedenauer, A., Schmitz, H., Glueckert, J. T., Porras, D. & Schaetz, T. Simulating a quantum magnet with trapped ions. Nature Phys. 4, 757–761 (2008). (10.1038/nphys1032) / Nature Phys. by A Friedenauer (2008)
Kim, K. et al. Quantum simulation of frustrated ising spins with trapped ions. Nature 465, 590–593 (2010). (10.1038/nature09071) / Nature by K Kim (2010)
Edwards, E. E. et al. Quantum simulation and phase diagram of the transverse-field ising model with three atomic spins. Phys. Rev. B 82: 060412 (2010). (10.1103/PhysRevB.82.060412)
Sachdev, S. Quantum magnetism and criticality. Nature Phys. 4, 173–185 (2008). (10.1038/nphys894) / Nature Phys. by S Sachdev (2008)
Farhi, E. et al. A quantum adiabatic evolution algorithm applied to random instances of an np-complete problem. Science 292, 472 (2001). (10.1126/science.1057726) / Science by E Farhi (2001)
Lanczos, C. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators. J. Res. Nat. Bur. Standards 45, 255–282 (1950). (10.6028/jres.045.026) / J. Res. Nat. Bur. Standards by C Lanczos (1950)
Barahona, F. On the computational complexity of Ising spin glass models. J. Phys. A: Math. Gen. 15, 3241–3253 (1982). (10.1088/0305-4470/15/10/028) / J. Phys. A: Math. Gen. by F Barahona (1982)
Olmschenk, S. et al. Manipulation and detection of a trapped Yb+ hyperfine qubit. Phys. Rev. A 76: 052314 (2007). (10.1103/PhysRevA.76.052314)
Deslauriers, L. et al. Zero-point cooling and low heating of trapped 111Cd+ ions. Phys. Rev. A 70: 043408 (2004). (10.1103/PhysRevA.70.043408)
Kim, K. et al. Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes. Phys. Rev. Lett. 103: 120502 (2009). (10.1103/PhysRevLett.103.120502)
Binder, K. Finite size scaling analysis of Ising model block distribution functions. Physik B 43, 119 (1981). (10.1007/BF01293604) / Physik B by K Binder (1981)
Binder, K. Critical properties from monte carlo coarse graining and renormalization. Phys. Rev. Lett. 47, 693–696 (1981). (10.1103/PhysRevLett.47.693) / Phys. Rev. Lett. by K Binder (1981)
Fisher, M. E. & Barber, M. N. Scaling theory for finite-size effects in the critical region. Phys. Rev. Lett. 28, 1516–1519 (1972). (10.1103/PhysRevLett.28.1516) / Phys. Rev. Lett. by ME Fisher (1972)
Dusuel, S. & Vidal, J. Continuous unitary transformations and finite-size scaling exponents in the lipkin-meshkov-glick model. Phys. Rev. B 71: 224420 (2005). (10.1103/PhysRevB.71.224420)
Caneva, T., Fazio, R. & Santoro, G. E. Adiabatic quantum dynamics of the lipkin-meshkov-glick model. Phys. Rev. B 78: 104426 (2008). (10.1103/PhysRevB.78.104426)
Campbell, W. C. et al. Ultrafast gates for single atomic qubits. Phys. Rev. Lett. 105: 090502 (2010). (10.1103/PhysRevLett.105.090502)
Lin, G.- D., Monroe, C. & Duan, L.- M. Sharp phase transitions in a small frustrated network of trapped ion spins ArXiv 1011. 5885.
Acton, M. Detection and Control of Individual Trapped Ions and Neutral Atoms Ph.D. thesis (University of Michigan, 2008).
Zhu, S.- L., Monroe, C. & Duan, L.- M. Trapped ion quantum computation with transverse phonon modes. Phys. Rev. Lett. 97: 050505 (2006). (10.1103/PhysRevLett.97.050505)

Dates

Type	When
Created	14 years, 1 month ago (July 5, 2011, 5:35 a.m.)
Deposited	2 years, 7 months ago (Jan. 5, 2023, 7:56 p.m.)
Indexed	2 weeks, 6 days ago (Aug. 6, 2025, 9 a.m.)
Issued	14 years, 1 month ago (July 5, 2011)
Published	14 years, 1 month ago (July 5, 2011)
Published Online	14 years, 1 month ago (July 5, 2011)

Funders 0

None

BibTeX

@article{Islam_2011, title={Onset of a quantum phase transition with a trapped ion quantum simulator}, volume={2}, ISSN={2041-1723}, url={http://dx.doi.org/10.1038/ncomms1374}, DOI={10.1038/ncomms1374}, number={1}, journal={Nature Communications}, publisher={Springer Science and Business Media LLC}, author={Islam, R. and Edwards, E.E. and Kim, K. and Korenblit, S. and Noh, C. and Carmichael, H. and Lin, G.-D. and Duan, L.-M. and Joseph Wang, C.-C. and Freericks, J.K. and Monroe, C.}, year={2011}, month=jul }

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