We apply an elementary measurement scheme to calculate the electronic triplet-singlet transition mediated by hyperfine interaction in a double quantum dot. We show how the local character of the hyperfine interaction and the nuclear back-action process (flip-flop) are crucial to cancel destructive interferences of the triplet-singlet transition probability. It is precisely this cancellation which differentiates the hyperfine interaction from an anisotropic magnetic field which mixes the triplet and the singlet eigenstates.
@article{arxiv.0910.2662,
title = {Determining the electronic triplet-singlet transition probability in double quantum dots: Analogy with the double slit experiment},
author = {Fernando Domínguez and Gloria Platero},
journal= {arXiv preprint arXiv:0910.2662},
year = {2010}
}