Long-time Behavior of Nuclear Spin Decays in Various Lattices

Abstract

The transverse nuclear magnetic resonance (NMR) decays of ${}^{129}$Xe in polycrystalline xenon were recently shown to have a universal property: in the long-time regime these decays all converge to the same sinusoidally modulated exponential function irrespective of the initial transverse spin configuration prepared by a sequence of one or more radio frequency pulses. The present work constitutes a more comprehensive survey of this phenomenon. It examines transverse decays for several different isotopic concentrations of ${}^{129}$Xe, employs additional pulse sequences, and performs similar measurements in a different material: ${}^{19}$F in single-crystal and polycrystalline CaF${}_2$. We additionally verified the polycrystalline nature of our frozen xenon samples by X-ray diffraction measurements. With the possible exception of polycrystalline CaF${}_2$ where the observation of the long-time behavior is limited by the experimental resolution, all these systems display the long-time universal behavior characterized by particular values of the exponential decay coefficient and beat frequency that were unique for each lattice. This behavior has been theoretically predicted based on the notion of microscopic chaos.

References in corpus (1)

• Multi-spin dynamics of the solid-state NMR Free Induction Decay

Cited by in corpus (18)

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• Sensitivity to small perturbations in systems of large quantum spins
• Signatures of Chaos in Time Series Generated by Many-Spin Systems at High Temperatures
• Eigenmodes in the long-time behavior of a coupled spin system measured with nuclear magnetic resonance
• Quantum echo dynamics in the Sherrington-Kirkpatrick model
• Lyapunov instabilities in lattices of interacting classical spins at infinite temperature
• Effectiveness of classical spin simulations for describing NMR relaxation of quantum spins
• Emergent Universal Quench Dynamics in Randomly Interacting Spin Models
• Hybrid quantum-classical method for simulating high-temperature dynamics of nuclear spins in solids
• Free induction decays in nuclear spin-1/2 lattices with small number of interacting neighbors: the cases of silicon and fluorapatite
• Pseudomode expansion of many-body correlation functions
• Phase relationship between the long-time beats of free induction decays and spin echoes in solids
• Robust solid ${}^{129}$Xe longitudinal relaxation times
• Subexponential decay of local correlations from diffusion-limited dephasing
• Classical spin simulations with a quantum two-spin correction
• Asymptotic and intermediate long-time behavior of nuclear free induction decays in polycrystalline solids and powders
• Classical periodic trajectories and quantum scars in many-spin systems