Driven dynamics of a quantum dot electron coupled to a spin 3/2 nuclear bath

Periodic driving of an electron confined in a self-assembled quantum dot can produce dynamic nuclear polarization in the surrounding nuclear spin bath through hyperfine interactions. This dynamic nuclear polarization can in turn be detected through feedback effects on the electron spin. While materials such as InGaAs contain nuclei with spin greater than 1/2, most existing theoretical frameworks assume spin 1/2 nuclei and employ perturbation theory to simplify calculations. In this talk, we present a fully quantum, non-perturbative approach that works for any nuclear spin. Using this framework, we calculate effects that are unique to higher nuclear spin such as quadrupolar interactions. We show that higher total spin can have a significant impact on the generation of dynamic nuclear polarization and how it influences the electron spin evolution in these systems.