  We investigate the implementation of a controlled-Z gate on a pair of Rydberg
atoms in spatially separated dipole traps where the joint excitation of both
atoms into the Rydberg level is strongly suppressed (the Rydberg blockade). We
follow the adiabatic gate scheme of Jaksch et al. [1], where the pair of atoms
are coherently excited using lasers, and apply it to the experimental setup
outlined in Ga\"etan et al. [2]. We apply optimisation to the experimental
parameters to improve gate fidelity, and consider the impact of several
experimental constraints on the gate success.
