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Radiophysics and Quantum Electronics

Quadrupole spin echo for broad absorption lines

Вадим Сергеевич Гречишкин, E. M. Shishkin

Published Sep 1, 1969• 0 citations
Publisher
DOI
10.1007/bf01030680

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Stochastic excitation of a stimulated spin echo

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The excitation of a stimulated spin echo by two coherent pulses of Gaussian white noise and a δ -function-like radio pulse is studied. The mean value of the complex envelope of the echo is obtained by solving the Bloch equations. The behavior of the mean value of the envelope of the stimulated echo is investigated for a Lorentzian shape of the inhomogeneously broadened absorption line. It is shown that in an excitation regime which is linear for noise pulses the envelope corresponds to the Fourier transform of the line-shape function. Nonlinear distortions of the mean value of the envelope of a stimulated echo can arise outside the linear excitation regime.

Technical Physics•Oct 1, 1997•0 citations
The effect of temperature dependent asymmetric line broadening is investigated in $\mathrm{Cu}({\mathrm{NO}}_{3}{)}_{2}\ifmmode\cdot\else\textperiodcentered\fi{}2.5{\mathrm{D}}_{2}\mathrm{O}$, a model material for a one-dimensional bond alternating Heisenberg chain, using the high resolution neutron-resonance spin echo (NRSE) technique. Inelastic neutron scattering experiments on dispersive excitations including phase sensitive measurements demonstrate the potential of NRSE to resolve line shapes, which are non-Lorentzian, opening up a new and hitherto unexplored class of experiments for the NRSE method beyond standard linewidth measurements. The particular advantage of NRSE is its direct access to the correlations in the time domain without convolution with the resolution function of the background spectrometer. This application of NRSE is very promising and establishes a basis for further experiments on different systems, since the results for Cu(NO3{\mathrm{NO}}_{3}NO3​)${}_{2}\ifmmode\cdot\else\textperiodcentered\fi{}2.5{\mathrm{D}}_{2}\mathrm{O}$ are applicable to a broad range of quantum systems.
The excitation of a stimulated spin echo by two coherent pulses of Gaussian white noise and a δ -function-like radio pulse is studied. The mean value of the complex envelope of the echo is obtained by solving the Bloch equations. The behavior of the mean value of the envelope of the stimulated echo is investigated for a Lorentzian shape of the inhomogeneously broadened absorption line. It is shown that in an excitation regime which is linear for noise pulses the envelope corresponds to the Fourier transform of the line-shape function. Nonlinear distortions of the mean value of the envelope of a stimulated echo can arise outside the linear excitation regime.