Exact solutions in the dynamics of alternating open chains of spins s = 1/2 with the XY Hamiltonian and their application to problems of multiple-quantum dynamics and quantum information theory

Journal of Experimental and Theoretical Physics

Volumn 102, Issue 6, 2006, Pages 882-893

  Kuznetsova, E I ^a   Fel'dman, E B ^a  

^a INSTITUTE OF PROBLEMS OF CHEMICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

FERMIONS; HAMILTONIANS; INFORMATION THEORY; MATHEMATICAL TRANSFORMATIONS; QUANTUM THEORY;

JORDAN-WIGNER TRANSFORMATION; MULTIPLE-QUANTUM COHERENCES; MULTIPLE-QUANTUM SPIN DYNAMICS; QUANTUM STATES;

ELECTRON TRANSITIONS;

EID: 33745929382     PISSN: 10637761     EISSN: None     Source Type: Journal    
DOI: 10.1134/S1063776106060021     Document Type: Article

References (30)

1. E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (N. Y.) 16, 407 (1961).
2. M. Gaudin, La Fonction d'Onde de Bethe (Masson, Paris, 1983; Mir, Moscow, 1987).
3. S. I. Doronin, E. B. Fel'dman, I. Ya. Guinzbourg, and I. I. Maximov, Chem. Phys. Lett. 341, 144 (2001).
4. R. Brüschweiler and R. R. Enrst, Chem. Phys. Lett. 264, 393 (1997).
5. J. S. Waugh, Mol. Phys. 95, 731 (1998).
6. E. B. Fel'dman, R. Brüschweiler, and R. R. Ernst, Chem. Phys. Lett. 294, 297 (1998).
7. E. B. Fel'dman and S. Lacelle, J. Chem. Phys. 108, 4709 (1998).
8. H. B. Cruz and L. L. Gonsalves, J. Phys. C: Solid State Phys. 14, 2787 (1981).
9. E. B. Fel'dman and S. Lacelle, J. Chem. Phys. 107, 7067 (1997).
10. S.I. Doronin, I. I. Maksimov, and E. B. Fel'dman, Zh. Éksp. Teor. Fiz. 118, 687 (2000)
11. [JETP 91, 597 (2000)].
12. E. P. Danieli, H. M. Pastawski, and G. A. Alvarez, Chem. Phys. Lett. 402, 88 (2005).
13. M. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge Univ. Press, Cambridge, 2000).
14. F. Ye, G.-H. Ding, and B.-W. Xu, cond-mat/0105584.
15. E. B. Fel'dman and M. G. Rudavets, Pis'ma Zh. Éksp. Teor. Fiz. 81, 54 (2005)
16. [JETP Lett. 81, 47 (2005)].
17. P. Jordan and E. Wigner, Z. Phys. 47, 631 (1928).
18. J. Baum, M. Munowitz, A. N. Garroway, and A. Pines, J. Chem. Phys. 83, 2015 (1985).
19. C. E. Hughes, Prog. Nucl. Magn. Reson. Spectrosc. 45, 301 (2004).
20. R. R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions (Clarendon, Oxford, 1987; Mir, Moscow, 1990).
21. A. Abragam, The Principles of Nuclear Magnetism (Clarendon, Oxford, 1961; Inostrannaya Literature, Moscow, 1963).
22. S. I. Doronin and E. B. Fel'dman, Solid State Nucl. Magn. Reson. 28, 111 (2005).
23. D. A. Lathrop, E. S. Handy, and K. K. Gleason, J. Magn. Reson., Ser. A 111, 161 (1994).
24. K. E. Feldman, J. Phys. A 39, 1039 (2006); quant-ph/0510070.
25. S. Bose, Phys. Rev. Lett. 91, 207901 (2003).
26. M. Christandl, N. Datta, A. Ekert, and A. Landahl, Phys. Rev. Lett. 92, 187902 (2004).
27. R. M. White, The Quantum Theory of Magnetism (Springer, Heidelberg, 1983; Mir, Moscow, 1985).
28. D. Greenbaum, J. Magn. Reson. 179, 1 (2005).
29. A. R. Its, B.-Q. Jin, and V. E. Korepin, J. Phys. A 38, 2975 (2005).
30. A. K. Khitrin, V. L. Ermakov, and B. M. Fung, Z. Naturforsch. A 59, 209 (2004).