The energy levels of an optically active quantum system can be shifted via the AC Stark effect by applying a strong, far-detuned laser. In addition to achieving a spin-selective AC Stark shift larger than 20 GHz, we observe a small Overhauser shift of approximately 1 GHz in a single negatively charged InGaAs quantum dot. We attribute this small shift to dynamic nuclear polarization via electron spin pumping induced by the high power, although far-detuned AC Stark laser. Low power scans reveal two regimes: high power where the frequency shift is linear in AC Stark laser power, and low power where the behavior is non-linear. Linewidth analysis provides a method to quantify the effect of the AC Stark laser on the nuclear spin environment, which in turn affects the quantum dot transitions.
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