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Phys. Rev. B 77, 214306 (2008) [26 pages]

Intrinsic origin of spin echoes in dipolar solids generated by strong pi pulses

Dale Li, Yanqun Dong, R. G. Ramos, J. D. Murray, K. MacLean, A. E. Dementyev, and S. E. Barrett
Department 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 pi pulses do not refocus the dipolar coupling. However, NMR spin echo measurements in dipolar solids defy these conventional expectations when more than one pi pulse is used. Observed effects include a long tail in the CPMG echo train for short delays between pi pulses, an even-odd asymmetry in the echo amplitudes for long delays, an unusual fingerprint pattern for intermediate delays, and a strong sensitivity to pi-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 pi pulses.

©2008 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevB.77.214306
DOI: 10.1103/PhysRevB.77.214306
PACS: 03.65.Yz; 03.67.Lx; 76.20.+q; 76.60.Lz
  • 03.65.Yz
    Decoherence; open systems; quantum statistical methods
  • 03.67.Lx
    Quantum computation architectures and implementations
  • 76.20.+q
    General theory of magnetic resonances and relaxations
  • 76.60.Lz
    Spin echoes (condensed matter NMR)
  • YEAR: 2008
KEYWORDS: spectral line breadth, spin echo (NMR)

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