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arXiv 0704.3620cond-mat.mes-hallquant-ph
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强π脉冲在偶极固体中产生自旋回波的本征起源

The 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, S. E. Barrett

摘要:

在光谱学中,通常将比线宽强得多的脉冲处理为δ函数。在NMR中,这种假设导致预测π脉冲不会重新聚焦偶极耦合。然而,NMR自旋回波测量在偶极固体无视这些传统的期望时,使用一个以上的π脉冲。观察到的效果包括在CPMG回波训练中的长尾,用于pi脉冲之间的短延迟,用于长延迟的回波幅度中的奇偶不对称,用于中间延迟的不寻常的指纹图案,以及对pi脉冲相位的强敏感性。实验,可能的外在原因的现象设置限制。我们发现,在任何实际的脉冲系统的内部哈密顿量的行动是足以造成的影响。精确的数值计算,结合平均哈密顿理论,确定新颖的条款,是敏感的参数,如脉冲相位,偶极耦合,和系统的大小。整个密度矩阵的可视化显示了当施加重复的π脉冲时,从不可观察到可观察通道的量子相干性的独特流动。

英文摘要:

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 novel 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 non-observable to observable channels when applying repeated pi pulses.

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