On the interaction of nuclear spins in a crystalline lattice

Suppression of spin-bath dynamics for improved coherence of multi-spin-qubit systems

“…We explain this suppression of spin-bath dynamics as a result of random, relative detuning of electronic spin energy levels due to interactions between proximal electronic (N) and nuclear ( 13 C) spin impurities (similar to processes identified by Bloembergen 33 and Portis 34 for other solid-state spin systems). The ensemble average effect of such random electronic-nuclear spin interactions is to induce an inhomogeneous broadening ∆E of the resonant electronic spin transitions in the bath, which reduces the electronic spin flip-flop rate R (~1/τ c ) given by 35,36 …”

Magnetic resonance investigation of the dynamics of F centers in LiF

“…The F center induced NSR process is shown to be treated well by the diffusion-limited solution of Bloembergen's spindiffusion approach [5] under the condition, v L T 1e q 1; i.e. the relaxation time (T 1e ) in the entire temperature range is long compared to the nuclear Larmor period.…”

“…If R q b; most nuclei interact with the centers only indirectly, and the relaxation process is called`spin diffusion limited'. The spin diffusion coef®cient can be estimated by the relation D s ù a 2 =50T 2n [5], where a is the nearest neighbor distance between like spins and T 2n is the spin±spin relaxation time. For LiF, this distance a is 7 Li, respectively; the system should therefore be spin-diffusion limited.…”

“…Such paramagnetic centers are well known to be a dominant cause of nuclear spin relaxation (NSR) in diamagnetic crystals [5±7]. Bloembergen ®rst introduced the concept of spin diffusion to account for the observed NSR in such materials [5]. A number of solutions of the resulting NSR equation (see Eq.…”

Dynamics of lipids in membranes: Heterogeneity and the role of cholesterol

“…This aspect of spin-dynamics is, however, complicated by the possibility of spin-diffusion, which may occur in these non-sonicated systems. Spin-diffusion is predicted not to occur in systems giving rise to well resolved high-resolutlon spectra, since it essentially depends on spectral overlap of resonance lines [21] and also on the condition T 2 ,¢ T 1 . That spin-diffusion does not in fact occur in sonicated liquid-crystalline lecithin has recently been experimentally confirmed by two groups [22][23][24].…”