Microscopic understanding of NMR signals by dynamic mean-field theory for spins
arXiv:2403.10465 · doi:10.1016/j.ssnmr.2024.101936
Abstract
A recently developed dynamic mean-field theory for disordered spins (spinDMFT) is shown to capture the spin dynamics of nuclear spins very well. The key quantities are the spin autocorrelations. In order to compute the free induction decay (FID), pair correlations are needed in addition. They can be computed on spin clusters of moderate size which are coupled to the dynamic mean fields determined in a first step by spinDMFT. We dub this versatile approach non-local spinDMFT (nl-spinDMFT). It is a particular asset of nl-spinDMFT that one knows from where the contributions to the FID stem. We illustrate the strengths of nl-spinDMFT in comparison to experimental data for CaF. Furthermore, spinDMFT provides the dynamic mean fields explaining the FID of the nuclear spins of C in adamantane up to some static noise. The spin Hahn echo in adamantane is free from effects of static noise and agrees excellently with the spinDMFT results without further fitting.
arXiv comment17 pages, 17 figures
References in corpus (20)
- The Kernel Polynomial Method
- Keeping a Quantum Bit Alive by Optimized -Pulse Sequences
- Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
- Extending Quantum Coherence in Diamond
- Dynamical decoupling noise spectroscopy
- Robust dynamical decoupling for quantum computing and quantum memory
- Quantum theory for electron spin decoherence induced by nuclear spin dynamics in semiconductor quantum computer architectures: Spectral diffusion of localized electron spins in the nuclear solid-state environment
- Extended Dynamical Mean Field Theory and GW method
- Quantum theory of spectral diffusion induced electron spin decoherence
- Optimal pulse spacing for dynamical decoupling in the presence of a purely-dephasing spin-bath
- Performance comparison of dynamical decoupling sequences for a qubit in a rapidly fluctuating spin-bath
- Multi-spin dynamics of the solid-state NMR Free Induction Decay
- On the long-time behavior of spin echo and its relation to free induction decay
- Effectiveness of classical spin simulations for describing NMR relaxation of quantum spins
- NMR Spin-Spin Relaxation as Kinetics in Spin Phase Space
- Hybrid quantum-classical method for simulating high-temperature dynamics of nuclear spins in solids
- Dynamic mean-field theory for dense spin systems at infinite temperature
- Free induction decays in nuclear spin-1/2 lattices with small number of interacting neighbors: the cases of silicon and fluorapatite
- On the theory of indirect exchange in EuO
- Understanding the dynamics of randomly positioned dipolar spin ensembles