Eigenmodes in the long-time behavior of a coupled spin system measured with nuclear magnetic resonance

Abstract

The many body quantum dynamics of dipolar coupled nuclear spins I = 1/2 on an otherwise isolated cubic lattice are studied with nuclear magnetic resonance (NMR). By increasing the signal-to-noise ratio by two orders of magnitude compared with previous reports for the free induction decay (FID) of 19F in CaF2 we obtain new insight into its long-time behavior. We confirm that the tail of the FID is an exponentially decaying cosine, but our measurements reveal a second universal decay mode with comparable frequency but twice the decay constant. This result is in agreement with a recent theoretical prediction for the FID in terms of eigenvalues for the time evolution of chaotic many-body quantum systems.

4 pages, 3 figures - updated to match PRL

References in corpus (2)

• Multi-spin dynamics of the solid-state NMR Free Induction Decay
• Long-time Behavior of Nuclear Spin Decays in Various Lattices

Cited by in corpus (16)

• Absence of exponential sensitivity to small perturbations in nonintegrable systems of spins 1/2
• Largest Lyapunov exponents for lattices of interacting classical spins
• Multispin correlations and pseudo-thermalization of the transient density matrix in solid-state NMR: free induction decay and magic echo
• Sensitivity to small perturbations in systems of large quantum spins
• 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
• Anomalous longitudinal relaxation of nuclear spins in CaF${}_2$
• The role of average time dependence on the relaxation of excited electron populations in nonequilibrium many-body physics
• 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