Universal Long-time Behavior of Nuclear Spin Decays in a Solid

Abstract

Magnetic resonance studies of nuclear spins in solids are exceptionally well suited to probe the limits of statistical physics. We report experimental results indicating that isolated macroscopic systems of interacting nuclear spins possess the following fundamental property: spin decays that start from different initial configurations quickly evolve towards the same long-time behavior. This long-time behavior is characterized by the shortest ballistic microscopic timescale of the system and therefore falls outside of the validity range for conventional approximations of statistical physics. We find that the nuclear free induction decay and different solid echoes in hyperpolarized solid xenon all exhibit sinusoidally modulated exponential long-time behavior characterized by identical time constants. This universality was previously predicted on the basis of analogy with resonances in classical chaotic systems.

4 pages main paper + 3 pages supporting material, 3 figures

References in corpus (10)

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• Dynamic correlations of antiferromagnetic spin-1/2 XXZ chains at arbitrary temperature from complete diagonalization
• Microscopic chaos from Brownian motion?
• Quantum fingerprints of classical Ruelle-Pollicot resonances
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Cited by in corpus (24)

• Absence of exponential sensitivity to small perturbations in nonintegrable systems of spins 1/2
• Collisional ${}^3$He and ${}^{129}$Xe frequency shifts in Rb--noble-gas mixtures
• Experimental characterization of coherent magnetization transport in a one-dimensional spin system
• Largest Lyapunov exponents for lattices of interacting classical spins
• Typical state of an isolated quantum system with fixed energy and unrestricted participation of eigenstates
• Multispin correlations and pseudo-thermalization of the transient density matrix in solid-state NMR: free induction decay and magic echo
• Long-time Behavior of Nuclear Spin Decays in Various Lattices
• 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
• Lyapunov instabilities in lattices of interacting classical spins at infinite temperature
• Effectiveness of classical spin simulations for describing NMR relaxation of quantum spins
• Hybrid quantum-classical method for simulating high-temperature dynamics of nuclear spins in solids
• Emergent Universal Quench Dynamics in Randomly Interacting Spin Models
• Breakdown of Angular Momentum Selection Rules in High Pressure Optical Pumping Experiments
• 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
• Long-lived selective spin echoes in dipolar solids under periodic and aperiodic pi-pulse trains
• Phase relationship between the long-time beats of free induction decays and spin echoes in solids
• Robust solid ${}^{129}$Xe longitudinal relaxation times
• Decoherence induced by an ordered environment
• Asymptotic and intermediate long-time behavior of nuclear free induction decays in polycrystalline solids and powders
• Classical spin simulations with a quantum two-spin correction
• Classical periodic trajectories and quantum scars in many-spin systems