Abstract
Variations, experimentally observed in [14], in the intensity profiles of multiple-quantum (MQ) coherences in the presence of two special types of perturbations are explained on the basis of the theory, earlier developed by the authors, of the growth of the effective size of correlated clusters (the number of correlated spins) and the relaxation of MQ coherent states [23]. The intensity and the character of perturbation were controlled by the experimenters. It is shown that the observed stabilization of profiles with time is not associated with the stabilization of the cluster size. Quite the contrary, a cluster of correlated spins monotonically grows, while the observed variations in the intensity profile and its stabilization with time are attributed to the dependence of the decay rate of an MQ coherence on its order (its position in the MQ spectrum). The results of the theory are in good agreement with the experimental data.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions (Clarendon, Oxford, 1987; Mir, Moscow, 1990).
M. Munovitz and A. Pines, Adv. Chem. Phys. 6, 1 (1987).
J. Baum, M. Munovitz, A. N. Garroway, and A. Pines, J. Chem. Phys. 83, 2015 (1985).
V. L. Bodneva and A. A. Lundin, JETP 108(6), 992 (2009).
P.-K. Wang, J.-P. Ansermet, S. L. Rudaz, Z. Wang, S. Shore, C. P. Slichter, and J. H. Sinfelt, Science (Washington) 234, 35 (1986).
J. Baum and A. Pines, J. Am. Chem. Soc. 108, 7447 (1986).
S. I. Doronin, A. V. Fedorova, E. B. Fel’dman, and A. I. Zenchuk, J. Chem. Phys. 131, 104109 (2009).
R. H. Schneder and H. Schmiedel, Phys. Lett. A 30, 298 (1969).
W. K. Rhim, A. Pines, and J. S. Waugh, Phys. Rev. B: Solid State 3, 684 (1971).
H. G. Krojanski and D. Suter, Phys. Rev. Lett. 93, 090501 (2004).
H. G. Krojanski and D. Suter, Phys. Rev. Lett. 97, 150503 (2006).
H. G. Krojanski and D. Suter, Phys. Rev. A: At., Mol., Opt. Phys. 74, 062319 (2006).
M. S. Lovric, H. G. Krojanski, and D. Suter, Phys. Rev. A: At., Mol., Opt. Phys. 75, 042305 (2007).
G. A. Alvarez and D. Suter, Phys. Rev. Lett. 104, 230403 (2010).
G. Cho, P. Capprlaro, D. G. Cory, and C. Ramanathan, Phys. Rev. B: Condens. Matter 74, 224434 (2006).
V. E. Zobov and A. A. Lundin, JETP 103(6), 904 (2006).
S. I. Doronin, E. B. Fel’dman, and F. I. Zenchuk, J. Chem. Phys. 134, 034102 (2011).
R. Balesçu, Equilibrium and Non-Equilibrium Statistical Mechanics (Wiley, New York, 1975; Mir, Moscow, 1978), Vol. 2.
W. H. Zurek, Rev. Mod. Phys. 75, 715 (2003).
P. W. Anderson, Basic Notions of Condensed Matter Physics (Benjamin/Cummings, San Francisco, California, United States, 1984).
P. W. Anderson and P. R. Weiss, Rev. Mod. Phys. 25, 269 (1953).
A. Abragam, Principles of Nuclear Magnetism (Oxford University Press, Oxford, 1961; Inostrannnaya Literatura, Moscow, 1963), Chap. 4.
V. E. Zobov and A. A. Lundin, JETP 112(3), 451 (2011).
U. Haeberlen and M. Mehring, High Resolution NMR Spectroscopy in Solids (Springer, New York, 1976; Mir, Moscow, 1980).
Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables, Ed. by M. Abramowitz and I. Stegun (Dover, New York, 1965 Nauka, Moscow, 1979).
B. V. Gnedenko, Theory of Probability (Nauka, Moscow, 1988; Gordon and Breach, Amsterdam, 1997).
G. A. Alvarez and D. Suter, arXiv:1103.4546 [quant-ph].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.E. Zobov, A.A. Lundin, 2011, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2011, Vol. 140, No. 6, pp. 1150–1159.
Rights and permissions
About this article
Cite this article
Zobov, V.E., Lundin, A.A. Decay of multispin multiple-quantum coherent states in the NMR of a solid and the stabilization of their intensity profile with time. J. Exp. Theor. Phys. 113, 1006–1014 (2011). https://doi.org/10.1134/S1063776111140111
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776111140111