Estimation of Coupling Constants of a Three-Spin Chain: Case Study of Hamiltonian Tomography with NMR
Abstract
It has been shown that inter-spin interaction strengths in a spins-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 nuclear magnetic resonance (NMR) 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.
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