We trap neutral Cs atoms in a two-dimensional optical lattice and cool
them close to the zero point of motion by resolved-sideband Raman coo
ling. Sideband cooling occurs via transitions between the vibrational
manifolds associated with a pair of magnetic sublevels, and the requir
ed Raman coupling is provided by the lattice potential itself. We obta
in mean vibrational excitations (n) over bar(x) approximate to (n) ove
r bar, < 0.024, corresponding to a population >95% in the vibrational
ground state. Atoms in the ground state of an optical lattice provide
a new system in which to explore quantum state control and subrecoil l
aser cooling.