  We demonstrate the storage of $5$ ns light pulses in a single rubidium atom
coupled to a fiber-based optical resonator. Our storage protocol addresses a
regime beyond the conventional adiabatic limit and approaches the theoretical
bandwidth limit. We extract the optimal control laser pulse properties from a
numerical simulation of our system and measure storage efficiencies of $(8.2\pm
0.6)~\%$, in close agreement with the maximum expected efficiency. Such
well-controlled and high-bandwidth atom-photon interfaces are key components
for future hybrid quantum networks.
