Multiple fixed points of dynamically polarized nuclear spins in a double quantum dot

Dynamic nuclear spin polarization (DNSP) and electric-dipole-induced spin resonance (EDSR) are major tools to control the nuclear and electron spin dynamics in semiconductor nanostructures. Their local control can be massively enhanced in an inhomogeneous magnetic field. We use two on-chip single-domain nanomagnets to create a static inhomogeneous field across a double quantum dot (DQD) in a GaAs/AlGaAs heterostructure. A unique combination of DNSP and EDSR experiments allows us to establish at least four fixed points (FP) characterized by their individual distributions of nuclear spins. The polarizations inside the DQD can be significantly stabilized using nuclear spin diffusion.