The quantum properties of dynamic correlations in a system of an electron spin surrounded by nuclear spins under the conditions of free induction decay (FID) and spin echo have been studied. Analytical results for the time evolution of mutual information, classical part of correlations, and quantum part characterized by quantum discord have been obtained within the central spin model in the high-temperature approximation. The same formulas describe the quantum discord in both the FID and the spin echo although the forms of the dependences are different because of difference in the parameters entering into the formulas. Discord of the spin echo compared with the FID has a strong dependence on time at short times, and it tends to zero with decreasing of the magnetic field, whereas in the case of the FID it reaches a plateau.
V. E. Zobov, V. E. Zobov,
"Quantum discord in central spin model", Proc. SPIE 9440, International Conference on Micro- and Nano-Electronics 2014, 94401E (18 December 2014); doi: 10.1117/12.2180727; https://doi.org/10.1117/12.2180727