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

Nature Communications

Volumn 2, Issue 1, 2011, Pages

  Islam, R ^a   Edwards, E E ^a   Kim, K ^a   Korenblit, S ^a   Noh, C ^b   Carmichael, H ^b   Lin, G D ^c   Duan, L M ^c   Joseph Wang, C C ^d   Freericks, J K ^d   Monroe, C ^a  

^a University of Maryland   (United States)

^b UNIVERSITY OF AUCKLAND   (New Zealand)

^c UNIVERSITY OF MICHIGAN   (United States)

^d GEORGETOWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FERROMAGNETIC MATERIAL; ION; QUANTUM DOT; ISOTOPE; YTTERBIUM;

ARTICLE; MAGNETISM; PHASE TRANSITION; QUANTUM CHEMISTRY; SIMULATION; SIMULATOR; STRENGTH; THERMODYNAMICS; CHEMISTRY; COMPUTER SIMULATION; FLUORESCENCE; MONTE CARLO METHOD; QUANTUM THEORY; THEORETICAL MODEL;

COMPUTER SIMULATION; FLUORESCENCE; ISOTOPES; MAGNETICS; MODELS, THEORETICAL; MONTE CARLO METHOD; PHASE TRANSITION; QUANTUM THEORY; THERMODYNAMICS; YTTERBIUM;

EID: 79960096432     PISSN: None     EISSN: 20411723     Source Type: Journal    
DOI: 10.1038/ncomms1374     Document Type: Article

References (26)

1. Feynman, R. Simulating physics with computers. Int. J. Theor. Phys. 21, 467-488 (1982).
2. Lloyd, S. Universal quantum simulators. Science 273, 1073 (1996).
3. Simon, J. et al. Quantum simulation of an antiferromagnetic spin chains in an optical lattice. Nature 472, 307-312 (2011).
4. Struck, J. et al. Quantum simulation of frustrated magnetism in triangular optical lattices arXiv:1103.5944.
5. Porras, D. & Cirac, J. I. Effective quantum spin systems with trapped ions. Phys. Rev. Lett. 92: 207901 (2004).
6. Deng, X.- L., Porras, D. & Cirac, J. I. Effective spin quantum phases in systems of trapped ions. Phys. Rev. A 72 (2005).
7. Taylor, J. M. & Calarco, T. Wigner crystals of ions as quantum hard drives. Phys. Rev. A 78: 062331 (2008).
8. Friedenauer, A., Schmitz, H., Glueckert, J. T., Porras, D. & Schaetz, T. Simulating a quantum magnet with trapped ions. Nature Phys. 4, 757-761 (2008).
9. Kim, K. et al. Quantum simulation of frustrated ising spins with trapped ions. Nature 465, 590-593 (2010).
10. Edwards, E. E. et al. Quantum simulation and phase diagram of the transversefield ising model with three atomic spins. Phys. Rev. B 82: 060412 (2010).
11. Sachdev, S. Quantum magnetism and criticality. Nature Phys. 4, 173-185 (2008).
12. Farhi, E. et al. A quantum adiabatic evolution algorithm applied to random instances of an np-complete problem. Science 292, 472 (2001).
13. 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).
14. Barahona, F. On the computational complexity of Ising spin glass models. J. Phys. A: Math. Gen. 15, 3241-3253 (1982).
15. Olmschenk, S. et al. Manipulation and detection of a trapped Yb+ hyperfine qubit. Phys. Rev. A 76: 052314 (2007).
16. Deslauriers, L. et al. Zero-point cooling and low heating of trapped 111Cd+ ions. Phys. Rev. A 70: 043408 (2004).
17. Kim, K. et al. Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes. Phys. Rev. Lett. 103: 120502 (2009).
18. Binder, K. Finite size scaling analysis of Ising model block distribution functions. Physik B 43, 119 (1981).
19. Binder, K. Critical properties from monte carlo coarse graining and renormalization. Phys. Rev. Lett. 47, 693-696 (1981).
20. Fisher, M. E. & Barber, M. N. Scaling theory for finite-size effects in the critical region. Phys. Rev. Lett. 28, 1516-1519 (1972).
21. Dusuel, S. & Vidal, J. Continuous unitary transformations and finite-size scaling exponents in the lipkin-meshkov-glick model. Phys. Rev. B 71: 224420 (2005).
22. Caneva, T., Fazio, R. & Santoro, G. E. Adiabatic quantum dynamics of the lipkin-meshkov-glick model. Phys. Rev. B 78: 104426 (2008).
23. Campbell, W. C. et al. Ultrafast gates for single atomic qubits. Phys. Rev. Lett. 105: 090502 (2010).
24. Lin, G.- D., Monroe, C. & Duan, L.- M. Sharp phase transitions in a small frustrated network of trapped ion spins ArXiv 1011. 5885.
25. Acton, M. Detection and Control of Individual Trapped Ions and Neutral Atoms Ph.D. thesis (University of Michigan, 2008).
26. Zhu, S.- L., Monroe, C. & Duan, L.- M. Trapped ion quantum computation with transverse phonon modes. Phys. Rev. Lett. 97: 050505 (2006).