Hyperfine-assisted Fast Electric Control of Dopant Nuclear Spins in Semiconductors*

Nuclear spins of dopant atoms in semiconductors are promising candidates as quantum bits, due to the long lifetime of their quantum states. Conventionally, coherent control of nuclear spins is done using ac magnetic fields. Using the example of a phosphorus atom in silicon, we theoretically demonstrate that hyperfine interaction can enhance the speed of magnetic control. Based on that result, we show that hyperfine interaction also provides a means to control the nuclear spin efficiently using an ac electric field, in the presence of intrinsic or artifical spin-orbit interaction. The electric control scheme we describe is especially fast in a hybrid dot-donor system subject to an inhomogeneous magnetic field. Reference: arXiv:1707.00581