NMR multiple quantum coherences in quasi-one-dimensional spin systems: Comparison with ideal spin-chain dynamics

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 80, Issue 5, 2009, Pages

  Zhang, Wenxian ^a,b   Cappellaro, Paola ^c,d   Antler, Natania ^e   Pepper, Brian ^e   Cory, David G ^d   Dobrovitski, Viatcheslav V ^f   Ramanathan, Chandrasekhar ^d   Viola, Lorenza ^g  

^a Dartmouth College   (United States)

^b FUDAN UNIVERSITY   (China)

^c HARVARD SMITHSONIAN CENTER FOR ASTROPHYSICS   (United States)

^d Massachusetts Institute of Technology Cambridge   (United States)

^e MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^f IOWA STATE UNIVERSITY   (United States)

^g NONE

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL METHOD; CHAIN COUPLING; CHAIN DYNAMICS; DOUBLE-QUANTUM; FLUORAPATITES; MULTIPLE-QUANTUM COHERENCES; MULTIPULSE CONTROL; NEAREST-NEIGHBOR COUPLING; QUANTUM WIRES; QUASI-ONE-DIMENSIONAL; SOLID-STATE NUCLEAR MAGNETIC RESONANCE; SPIN SYSTEMS;

COHERENT LIGHT; COUPLINGS; NUCLEAR MAGNETIC RESONANCE; NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY; NUMERICAL METHODS; QUANTUM ELECTRONICS; RESONANCE;

SPIN DYNAMICS;

EID: 70450015289     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.80.052323     Document Type: Article

References (62)

1. D. D. Awschalom and M. E. Flatté, Nat. Phys. 3, 153 (2007). 10.1038/nphys551
2. L. Childress, M. V. G. Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, Science 314, 281 (2006). 10.1126/science.1131871
3. M. V. G. Dutt, L. Childress, J. Liang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. Hemmer, and M. Lukin, Science 316, 1312 (2007). 10.1126/science.1139831
4. F. H. L. Essler, H. Frahm, F. Gohmann, A. Klumper, and V. E. Korepin, The One-Dimensional Hubbard Model (Cambridge University Press, London, 2005).
5. M. A. Nielsen and I. L. Chuang, Quantum Computations and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
6. S. Bose, Phys. Rev. Lett. 91, 207901 (2003). 10.1103/PhysRevLett.91. 207901
7. S. Bose, Contemp. Phys. 48, 13 (2007). 10.1080/00107510701342313
8. C. Di Franco, M. Paternostro, and M. S. Kim, Phys. Rev. Lett. 101, 230502 (2008). 10.1103/PhysRevLett.101.230502
9. A. Kay, Phys. Rev. A 73, 032306 (2006). 10.1103/PhysRevA.73.032306
10. M. Avellino, A. J. Fisher, and S. Bose, Phys. Rev. A 74, 012321 (2006). 10.1103/PhysRevA.74.012321
11. G. Gualdi, V. Kostak, I. Marzoli, and P. Tombesi, Phys. Rev. A 78, 022325 (2008). 10.1103/PhysRevA.78.022325
12. D. Burgarth, V. Giovannetti, and S. Bose, Phys. Rev. A 75, 062327 (2007). 10.1103/PhysRevA.75.062327
13. J. Zhang, M. Ditty, D. Burgarth, C. A. Ryan, C. M. Chandrashekar, M. Laforest, O. Moussa, J. Baugh, and R. Laflamme, Phys. Rev. A 80, 012316 (2009). 10.1103/PhysRevA.80.012316
14. S. Lloyd, Science 273, 1073 (1996). 10.1126/science.273.5278.1073
15. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. 80, 885 (2008). 10.1103/RevModPhys.80.885
16. P. Cappellaro, C. Ramanathan, and D. G. Cory, Phys. Rev. A 76, 032317 (2007). 10.1103/PhysRevA.76.032317
17. P. Cappellaro, C. Ramanathan, and D. G. Cory, Phys. Rev. Lett. 99, 250506 (2007). 10.1103/PhysRevLett.99.250506
18. E. Rufeil-Fiori, C. M. Sanchez, F. Y. Oliva, H. M. Pastawski, and P. R. Levstein, Phys. Rev. A 79, 032324 (2009). 10.1103/PhysRevA.79.032324
19. M. Engelsberg, I. J. Lowe, and J. L. Carolan, Phys. Rev. B 7, 924 (1973). 10.1103/PhysRevB.7.924
20. A. Sur and I. J. Lowe, Phys. Rev. B 12, 4597 (1975). 10.1103/PhysRevB.12. 4597
21. A. Sur, D. Jasnow, and I. J. Lowe, Phys. Rev. B 12, 3845 (1975). 10.1103/PhysRevB.12.3845
22. G. Cho and J. P. Yesinowski, Chem. Phys. Lett. 205, 1 (1993). 10.1016/0009-2614(93)85157-J
23. G. Cho and J. P. Yesinowski, J. Phys. Chem. 100, 15716 (1996). 10.1021/jp9614815
24. D. Stauffer and A. Aharony, Introduction To Percolation Theory (CRC, Cleveland, 1994).
25. E. B. Fel'dman and S. Lacelle, J. Chem. Phys. 107, 7067 (1997). 10.1063/1.474949
26. S. I. Doronin, I. I. Maksimov, and E. B. Fel'dman, Sov. Phys. JETP 91, 597 (2000).
27. J. Fitzsimons and J. Twamley, Phys. Rev. Lett. 97, 090502 (2006). 10.1103/PhysRevLett.97.090502
28. C. P. Slichter, Principles of Magnetic Resonance (Springer-Verlag, New York, 1992).
29. W. Van Der Lugt and W. J. Caspers, Physica (Amsterdam) 30, 1658 (1964). 10.1016/0031-8914(64)90191-0
30. N. Leroy and E. Bres, Eur. Cells Mater. 2, 36 (2001).
31. G. Xu, C. Broholm, Y.-A. Soh, G. Aeppli, J. F. DiTusa, Y. Chen, M. Kenzelmann, C. D. Frost, T. Ito, K. Oka, and H. Takagi, Science 317, 1049 (2007). 10.1126/science.1143831
32. M. Munowitz and A. Pines, Adv. Chem. Phys. 66, 1 (1987). 10.1002/9780470142929.ch1
33. H. Hatanaka, T. Terao, and T. Hashi, J. Phys. Soc. Jpn. 39, 835 (1975). 10.1143/JPSJ.39.835
34. A. Pines, D. J. Ruben, S. Vega, and M. Mehring, Phys. Rev. Lett. 36, 110 (1976). 10.1103/PhysRevLett.36.110
35. W. P. Aue, E. Batholdi, and R. R. Ernst, J. Chem. Phys. 64, 2229 (1976). 10.1063/1.432450
36. S. Vega, T. W. Shattuck, and A. Pines, Phys. Rev. Lett. 37, 43 (1976). 10.1103/PhysRevLett.37.43
37. W. S. Warren, D. P. Weitekamp, and A. Pines, J. Chem. Phys. 73, 2084 (1980). 10.1063/1.440403
38. J. Baum, M. Munowitz, A. N. Garroway, and A. Pines, J. Chem. Phys. 83, 2015 (1985). 10.1063/1.449344
39. M. Munowitz, A. Pines, and M. Mehring, J. Chem. Phys. 86, 3172 (1987). 10.1063/1.452028
40. D. H. Levy and K. K. Gleason, J. Phys. Chem. 96, 8125 (1992). 10.1021/j100199a056
41. S. Lacelle, S.-J. Hwang, and B. C. Gerstein, J. Chem. Phys. 99, 8407 (1993). 10.1063/1.465616
42. C. Ramanathan, H. Cho, P. Cappellaro, G. S. Boutis, and D. G. Cory, Chem. Phys. Lett. 369, 311 (2003). 10.1016/S0009-2614(02)02020-1
43. H. J. Cho, T. D. Ladd, J. Baugh, D. G. Cory, and C. Ramanathan, Phys. Rev. B 72, 054427 (2005). 10.1103/PhysRevB.72.054427
44. H. J. Cho, P. Cappellaro, D. G. Cory, and C. Ramanathan, Phys. Rev. B 74, 224434 (2006). 10.1103/PhysRevB.74.224434
45. U. Haeberlen, High Resolution NMR in Solids: Selective Averaging (Academic, New York, 1976).
46. The relevant 16-pulse sequence S may be understood starting from a simpler two-pulse cycle C which also simulates the DQ Hamiltonian along with its time-reversed version C̄. The primitive pulse cycle C= [Δ 2 X Δ′ X Δ 2], where Δ′ =2Δ+w, Δ, w being the pulse delay and the pulse width, respectively. Then S=C□ C̄ □ C̄ □C□ C̄ □C□C□ C̄, with a cycle time Tc =8×3 (Δ+w) and H̄ (0) = HDQ.
47. W.-K. Rhim, A. Pines, and J. S. Waugh, Phys. Rev. Lett. 25, 218 (1970). 10.1103/PhysRevLett.25.218
48. H. G. Krojanski and D. Suter, Phys. Rev. Lett. 93, 090501 (2004). 10.1103/PhysRevLett.93.090501
49. S. I. Doronin, E. B. Feldman, I. Ya. Guinzbourg, and I. I. Maximov, Chem. Phys. Lett. 341, 144 (2001). 10.1016/S0009-2614(01)00472-9
50. Decoherence: Theoretical, Experimental and Conceptual Problems, edited by, Ph. Blanchard, D. Giulini, E. Joos, C. Kiefer, and, I.-O. Stamatescu, (Springer, New York, 2000).
51. R. P. Feynman and F. L. Vernon, Jr., Ann. Phys. (N.Y.) 24, 118 (1963). 10.1016/0003-4916(63)90068-X
52. A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987). 10.1103/RevModPhys.59.1
53. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II (Springer, New York, 1998).
54. As it turns out, the peak at the mirror time is no longer the second largest for the thermal state in the presence of cross-chain coupling, whereas it is still such for the end-polarized state.
55. It is worth noting that in some situations, the freedom of choice for the bath model can be formalized precisely: for instance, in the case of bosonic degrees of freedom, all baths possessing the same temperature and spectral density have, independently of any other detail, an equivalent effect on the central system (see, e.g.,). In the case of spin baths, as far as we know, such a degree of rigor has not yet been achieved.
56. A complete simulation for a fixed realization takes about 1 week on a 64-node cluster.
57. W. Zhang, N. P. Konstantinidis, K. A. Al-Hassanieh, and V. V. Dobrovitski, J. Phys.: Condens. Matter 19, 083202 (2007). 10.1088/0953-8984/19/ 8/083202
58. W. Zhang, N. P. Konstantinidis, V. V. Dobrovitski, B. N. Harmon, L. F. Santos, and L. Viola, Phys. Rev. B 77, 125336 (2008). 10.1103/PhysRevB.77.125336
59. V. V. Dobrovitski and H. A. De Raedt, Phys. Rev. E 67, 056702 (2003). 10.1103/PhysRevE.67.056702
60. T. Guhr, A. Müller-Groeling, and H. A. Weidenmüller, Phys. Rep. 299, 189 (1998). 10.1016/S0370-1573(97)00088-4
61. B. Georgeot and D. L. Shepelyansky, Phys. Rev. Lett. 81, 5129 (1998). 10.1103/PhysRevLett.81.5129
62. J. Lages, V. V. Dobrovitski, M. I. Katsnelson, H. A. De Raedt, and B. N. Harmon, Phys. Rev. E 72, 026225 (2005). 10.1103/PhysRevE.72.026225