固体中自由感应衰变长时间拍频与自旋回波的相位关系
Phase relationship between the long-time beats of free induction decays and spin echoes in solids
摘要：
最近关于微观混沌在多体量子系统的动力学和弛豫中的作用的理论工作已经对固体中相互作用的核自旋系统做出了几个实验证实的预测，特别是集中在通过核磁共振（NMR）测量的自旋回波响应的形状上。这些预测是基于这样的想法，即横向核自旋衰变的演化方式在很长一段时间内由量子系统中最慢的本征模式所控制，类似于经典系统中的混沌共振。本文在理论和实验上对上述研究进行了扩展。在理论方面，混沌本征模的概念被用来预测核自由感应衰变（FID）的长时间振荡相位和自旋回波的幅度和相位之间的关系。在实验方面，对F-19在CaF_2晶体中的核自旋衰变和F-129在冷冻氙中的核自旋衰变进行了检验。理论与实验结果吻合较好。
英文摘要：
Recent theoretical work on the role of microscopic chaos in the dynamics and relaxation of many-body quantum systems has made several experimentally confirmed predictions about the systems of interacting nuclear spins in solids, focusing, in particular, on the shapes of spin echo responses measured by nuclear magnetic resonance (NMR). These predictions were based on the idea that the transverse nuclear spin decays evolve in a manner governed at long times by the slowest decaying eigenmode of the quantum system, analogous to a chaotic resonance in a classical system. The present paper extends the above investigations both theoretically and experimentally. On the theoretical side, the notion of chaotic eigenmodes is used to make predictions about the relationships between the long-time oscillation phase of the nuclear free induction decay (FID) and the amplitudes and phases of spin echoes. On the experimental side, the above predictions are tested for the nuclear spin decays of F-19 in CaF2 crystals and Xe-129 in frozen xenon. Good agreement between the theory and the experiment is found.
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