Fast Ground State Manipulation of Neutral Atoms in Microscopic Dipole Traps

We demonstrate Rabi flopping at MHz rates between ground hyperfine states of neutral $^{87}$Rb atoms that are trapped in two micron sized optical traps. Using tightly focused laser beams we demonstrate high fidelity, site specific Rabi rotations with crosstalk on neighboring sites separated by $8~\mu\rm m$ at the level of $10^{-3}$. Ramsey spectroscopy is used to measure a dephasing time of $870~\mu\rm s$ which is $\approx$~5000 times longer than the time for a $\pi/2$ pulse. We also demonstate the suppression of Rydberg excitation in a dipole trap which is the first step towards demonstrating a two- qubit gate between neutral atoms.