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

  title={Eigenmodes in the long-time behavior of a coupled spin system measured with nuclear magnetic resonance.},
  author={Benno Meier and Jonas Kohlrautz and J{\"u}rgen Haase},
  journal={Physical review letters},
  volume={108 17},
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. By increasing the signal-to-noise ratio by 2 orders of magnitude compared with previous reports for the free induction decay (FID) of (19)F in CaF(2) 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 decay mode with comparable… 

Figures and Tables from this paper

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

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

Multispin correlations and pseudo-thermalization of the transient density matrix in solid-state NMR: free induction decay and magic echo.

By combining analytic, numerical, and experimental results, this work systematically investigate factors leading to the degradation of magic echoes, as observed in reduced revival of mean transverse magnetization.

Hybrid quantum-classical method for simulating high-temperature dynamics of nuclear spins in solids

First-principles calculations of high-temperature spin dynamics in solids in the context of nuclear magnetic resonance (NMR) are a long-standing problem, whose conclusive solution can significantly

Classical spin simulations with a quantum two-spin correction

Classical simulations of high-temperature nuclear spin dynamics in solids are known to accurately predict relaxation for spin 1/2 lattices with a large number of interacting neighbors. Once the

Free induction decays in nuclear spin- 12 lattices with a small number of interacting neighbors: The cases of silicon and fluorapatite

Nuclear spin-1/2 lattices where each spin has a small effective number of interacting neighbors represent a particular challenge for first-principles calculations of free induction decays (FIDs)

Chaos and Relaxation in Classical and Quantum Spin Systems

The problems of chaos and relaxation have a fundamental importance in the study of many-body classical and quantum systems. We investigate some of the issues related to these problems numerically in

Asymptotic Similarity of Time Correlation Functions and Shape of the 13C and 29Si NMR Spectra in Diamond and Silicon

Based on the proposed theory, we have investigated the shape of the NMR absorption spectra for 13C and 29Si nuclei in diamond and silicon crystals attributable to the internuclear dipole–dipole

Lyapunov instabilities in lattices of interacting classical spins at infinite temperature

We numerically investigate Lyapunov instabilities for one-, two- and three-dimensional lattices of interacting classical spins at infinite temperature. We obtain the largest Lyapunov exponents for a

Anomalous longitudinal relaxation of nuclear spins in CaF2

We consider the effect of non‐secular resonances for interacting nuclear spins in solids which were predicted theoretically to exist in the presence of strong static and strong radio‐frequency

Effect of the structure of solid compounds on the shape of their NMR spectra and manifestations of dynamic chaos in paramagnetic spin systems

The shape of NMR absorption line for typical ionic crystals, molecular crystals, and glasses is studied. The proposed theory and available experimental results suggest that the shape of NMR spectra



Multispin dynamics of the solid-state NMR free induction decay

We present a new experimental investigation of the NMR free induction decay FID in a lattice of spin-1/2 nuclei in a strong Zeeman field. Following a /2 pulse, evolution under the secular dipolar

Long-time behavior of the free-induction decay in paramagnetic Spin systems

A detailed comparison is made between theory and expérimental data regarding the évolution of the transverse magnetization for long times (~180 /xsec) in CaF2. There is no doubt that for such times a


The long-time behavior of the infinite temperature spin correlation functions describing the free induction decay in nuclear magnetic resonance and intermediate structure factors in inelastic neutron

Long-Time Behavior of Spin Echo

It is predicted that (i) spin echoes have two kinds of generic long-time decays: either simple exponential, or a superposition of a monotonic and an oscillatory exponential decays; and (ii) the

Long-time behavior of nuclear spin decays in various lattices

The transverse NMR decays of {sup 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

Dynamical Effects of the Dipolar Field Inhomogeneities in High-Resolution NMR: Spectral Clustering and Instabilities

In high-resolution NMR in liquids, for ``large'' nuclear spin magnetization (e.g., water at equilibrium in high field, optically polarized ${}^{129}\mathrm{Xe}$, etc.), the interplay of spatial

Resurrection of crushed magnetization and chaotic dynamics in solution NMR spectroscopy.

We show experimentally and theoretically that two readily observed effects in solution nuclear magnetic resonance (NMR)-radiation damping and the dipolar field-combine to generate bizarre spin

The Dipolar Broadening of Magnetic Resonance Lines in Crystals

In regular crystals, the width of the absorption lines arising from the magnetic moment of the electron or nucleus is caused primarily by the interaction between the magnetic dipoles. It is