Abstract
It has been shown that inter-spin interaction strengths in a spin-1/2 chain can be evaluated by accessing one of the edge spins only. We demonstrate this experimentally for the simplest case, a three-spin chain, with the nuclear magnetic resonance technique. The three spins in the chain interact through nearest-neighbor Ising interactions under site-dependent transverse fields. The employed molecule is an alanine containing three 13C nuclei, each of which has spin-1/2.
Highlights
It has been shown that inter-spin interaction strengths in a spin-1/2 chain can be evaluated by accessing one of the edge spins only. We demonstrate this experimentally for the simplest case, a three-spin chain, with the nuclear magnetic resonance technique
While nonlinear least-square data fitting is not computationally efficient for large systems, we find that it is very suitable for the three-spin chain and much more robust against relaxation than the method discussed in [5, 8]
The dynamics of spin-1 without relaxation and transverse field inhomogeneity is calculated with equation (4) and the result is shown in figure 1 when ω1i /(2π ) = 27 Hz for all i = 1, 2, 3
Summary
We review how to estimate the spin–spin interaction strengths in a three-spin. The dynamics of spin-1 without relaxation and transverse field inhomogeneity is calculated with equation (4) and the result is shown in figure 1 when ω1i /(2π ) = 27 Hz for all i = 1, 2, 3. That T2(2) and T2(3) are expected to influence the short-time dynamics of spin-1 only weakly. This is because it takes time of the order of T2(2) and T2(3) for the relaxation of spins 2 and 3 to affect the dynamics of spin-1 We are left with two unknown parameters J12 and J23, which are to be fixed by fitting the dynamics of spin-1, as a function of J12 and J23, with the experimental data
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