We have realized electrical tuning of the energy and the charge-state of GaAs quantum dots in AlGaAs. In contrast to previous work on the same system, the quantum dots do not suffer from a fluctuating charge-state. At the same time, we achieve linewidths that are just a few percent broader than the lifetime-limit. Our results are an important step towards connecting a quantum dot as a single-photon emitter to a rubidium memory in which quantum information can be stored. You can find our results in the open-access journal Nature Communications.