Bose-Einstein condensates of rubidium atoms are stored in a two-dimensional
periodic dipole force potential, formed by a pair of standing wave laser f
ields. The resulting potential consists of a lattice of tightly confining t
ubes, each filled with a ID quantum gas. Tunnel coupling between neighborin
g tubes is controlled by the intensity of the laser fields. By observing th
e interference pattern of atoms released from more than 3000 individual lat
tice tubes, the phase coherence of the coupled quantum gases is studied. Th
e lifetime of the condensate in the lattice and the dependence of the inter
ference pattern on the lattice configuration are investigated.