Phys. Rev. B 77, 214306 (2008) [26 pages]
Intrinsic origin of spin echoes in dipolar solids generated by strong pulses
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Dale Li, Yanqun Dong, R. G. Ramos, J. D. Murray, K. MacLean, A. E. Dementyev, and S. E. BarrettDepartment of Physics, Yale University, New Haven, Connecticut 06511, USA
Received 26 April 2007; revised 9 March 2008; published 24 June 2008
In spectroscopy, it is conventional to treat pulses much stronger than the linewidth as delta functions. In NMR, this assumption leads to the prediction that pulses do not refocus the dipolar coupling. However, NMR spin echo measurements in dipolar solids defy these conventional expectations when more than one pulse is used. Observed effects include a long tail in the CPMG echo train for short delays between pulses, an even-odd asymmetry in the echo amplitudes for long delays, an unusual fingerprint pattern for intermediate delays, and a strong sensitivity to -pulse phase. Experiments that set limits on possible extrinsic causes for the phenomena are reported. We find that the action of the system's internal Hamiltonian during any real pulse is sufficient to cause the effects. Exact numerical calculations, combined with average Hamiltonian theory, identify terms that are sensitive to parameters such as pulse phase, dipolar coupling, and system size. Visualization of the entire density matrix shows a unique flow of quantum coherence from nonobservable to observable channels when applying repeated pulses.
©2008 The American Physical Society
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