We calculate the pure dephasing time of three-electron exchange-only qubits due to interaction with the nuclear hyperfine field. Within the $S={S}_{z}=1/2$ spin subspace, we derive formulas for the dephasing time as a function of the position within the stability diagram consisting of the $(1,1,1)$ charge region and the neighboring charge sectors coupled by tunneling. The nuclear field and the tunneling are taken into account in a second order approximation. The analytical solutions accurately reproduce the numerical evaluation of the full problem, and in comparison with existing experimental data, we find that the dephasing times are longer but on the same time scale as for single spins.We calculate the pure dephasing time of three-electron exchange-only qubits due to interaction with the nuclear hyperfine field. Within the $S={S}_{z}=1/2$ spin subspace, we derive formulas for the dephasing time as a function of the position within the stability diagram consisting of the $(1,1,1)$ charge region and the neighboring charge sectors coupled by tunneling. The nuclear field and the tunneling are taken into account in a second order approximation. The analytical solutions accurately reproduce the numerical evaluation of the full problem, and in comparison with existing experimental data, we find that the dephasing times are longer but on the same time scale as for single spins.

arXiv:1706.00703Physical review. B./Physical review. BDec 14, 20178 citations

Atom Manipulations by Enhanced Quadrupole Interaction

S. Al‐Awfi

Journal of Russian Laser ResearchMay 1, 20191 citation

We calculate the pure dephasing time of three-electron exchange-only qubits due to interaction with the nuclear hyperfine field. Within the

S={S}_{z}=1/2

spin subspace, we derive formulas for the dephasing time as a function of the position within the stability diagram consisting of the

(1,1,1)

charge region and the neighboring charge sectors coupled by tunneling. The nuclear field and the tunneling are taken into account in a second order approximation. The analytical solutions accurately reproduce the numerical evaluation of the full problem, and in comparison with existing experimental data, we find that the dephasing times are longer but on the same time scale as for single spins.