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Science

Singlet-Triplet States in the Mix

Published Aug 25, 2005• 0 citations
Publisher
DOI
10.1126/science.309.5739.1297d

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Singlet-triplet mixing of 4snd1D24snd ^{1}D_{2}4snd1D2​ and 3D2^{3}D_{2}3D2​ states of Ca was determined between principal quantum numbers 7< n< 427<~n<~427< n< 42 with the use of Doppler-free two-photon spectroscopy. The hyperfine structure of the 4snd1D24snd ^{1}D_{2}4snd1D2​ states was used to probe admixtures of triplet character into the singlet wave functions. It turned out that, in the region of series crossings, an enlarged singlet-triplet mixing was observed.
A systematic study of the hyperfine structure of 5snd5snd5snd 1D2^{1}D_{2}1D2​ and 3D2^{3}D_{2}3D2​ states of 87Sr^{87}\mathrm{Sr}87Sr was carried out by Doppler-free two-photon excitation. In the region of strong singlet-triplet mixing around n=16n=16n=16, the hyperfine structure exhibits a marked nnn dependence which is related to the amount of singlet-triplet mixing.
Two electron spins form the spin singlet or triplet state if these spins have the same g-factor value, or a mix state consisting of both the singlet and triplet states if these spins have different g-factor values. It is considered that two energy levels of electrons are formed in a double quantum dot device for use in quantum information processing; however, the g-factors of the electrons have not been treated as an important factor because they cannot be changed easily in experiments. We introduce a numerical calculation method for the singlet–triplet mix state due to the g-factor mismatch in double quantum dots. It is found that this mismatch changes the energy levels of the original singlet and triplet states; thus, it affects the intersecting points of the energy levels of the singlet and triplet states where a dynamic nuclear polarization appears via hyperfine interaction.