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Recent theoretical work on the role of microscopic chaos in the dynamics andrelaxation of many-body quantum systems has made several experimentallyconfirmed predictions about the systems of interacting nuclear spins in solids,focusing, in particular, on the shapes of spin echo responses measured bynuclear magnetic resonance (NMR). These predictions were based on the idea thatthe transverse nuclear spin decays evolve in a manner governed at long times bythe slowest decaying eigenmode of the quantum system, analogous to a chaoticresonance in a classical system. The present paper extends the aboveinvestigations both theoretically and experimentally. On the theoretical side,the notion of chaotic eigenmodes is used to make predictions about therelationships between the long-time oscillation phase of the nuclear freeinduction decay (FID) and the amplitudes and phases of spin echoes. On theexperimental side, the above predictions are tested for the nuclear spin decaysof F-19 in CaF2 crystals and Xe-129 in frozen xenon. Good agreement between thetheory and the experiment is found.

Phase relationship between the long-time beats of free induction decays and spin echoes in solids